https://en.wikipedia.org/w/index.php?action=history&feed=atom&title=Linear_predictive_codingLinear predictive coding - Revision history2025-05-31T11:38:18ZRevision history for this page on the wikiMediaWiki 1.45.0-wmf.3https://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1276522725&oldid=prevHeadbomb: ce2025-02-19T09:56:49Z<p>ce</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | journal = The Bell System Technical Journal |year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs| doi=10.1002/j.1538-7305.1952.tb01403.x }}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | journal = The Bell System Technical Journal |year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs| doi=10.1002/j.1538-7305.1952.tb01403.x }}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.<del style="font-weight: bold; text-decoration: none;">Japan</del>}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.<ins style="font-weight: bold; text-decoration: none;"> Jpn.</ins>}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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</table>Headbombhttps://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1264101253&oldid=prevDoug Weller: tried but could not source this2024-12-20T13:13:48Z<p>tried but could not source this</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:13, 20 December 2024</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>LPC is the basis for [[voice-over-IP]] (VoIP) technology.<ref name="Gray"/> In 1972, [[Bob Kahn]] of [[Defense Advanced Research Projects Agency|ARPA]] with Jim Forgie of [[Lincoln Laboratory]] (LL) and Dave Walden of [[BBN Technologies]] started the first developments in packetized speech, which would eventually lead to voice-over-IP technology. In 1973, according to Lincoln Laboratory informal history, the first real-time 2400&nbsp;[[bit]]/[[Second|s]] LPC was implemented by Ed Hofstetter. In 1974, the first real-time two-way LPC packet speech communication was accomplished over the [[ARPANET]] at 3500&nbsp;bit/s between Culler-Harrison and Lincoln Laboratory.<del style="font-weight: bold; text-decoration: none;"> In 1976, the first LPC conference took place over the ARPANET using the [[Network Voice Protocol]], between Culler-Harrison, Information Sciences Institute (ISI), Stanford Research Institute (SRI), and LL at 3500&nbsp;bit/s.{{Citation needed|date=December 2019}}{{Clarify|reason=What do the abbreviations ISI and SRI represent? They need to be defined, like Lincoln Laboratory (LL) is defined earlier.|date=March 2024}}</del></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>LPC is the basis for [[voice-over-IP]] (VoIP) technology.<ref name="Gray"/> In 1972, [[Bob Kahn]] of [[Defense Advanced Research Projects Agency|ARPA]] with Jim Forgie of [[Lincoln Laboratory]] (LL) and Dave Walden of [[BBN Technologies]] started the first developments in packetized speech, which would eventually lead to voice-over-IP technology. In 1973, according to Lincoln Laboratory informal history, the first real-time 2400&nbsp;[[bit]]/[[Second|s]] LPC was implemented by Ed Hofstetter. In 1974, the first real-time two-way LPC packet speech communication was accomplished over the [[ARPANET]] at 3500&nbsp;bit/s between Culler-Harrison and Lincoln Laboratory.</div></td>
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</table>Doug Wellerhttps://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1263992895&oldid=prevProudbharati: The abbreviations ISI and SRI are not defined in the text, which may confuse readers unfamiliar with these terms. Defining them enhances clarity.2024-12-19T20:35:48Z<p>The abbreviations ISI and SRI are not defined in the text, which may confuse readers unfamiliar with these terms. Defining them enhances clarity.</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In 1969, Itakura and Saito introduced method based on [[partial correlation]] (PARCOR), [[Glen Culler]] proposed real-time speech encoding, and [[Bishnu S. Atal]] presented an LPC speech coder at the Annual Meeting of the [[Acoustical Society of America]]. In 1971, realtime LPC using [[16-bit computing|16-bit]] LPC hardware was demonstrated by [[Philco-Ford]]; four units were sold.<ref name="Gray">{{cite journal |last1=Gray |first1=Robert M. |author1-link=Robert M. Gray |title=A History of Realtime Digital Speech on Packet Networks: Part II of Linear Predictive Coding and the Internet Protocol |journal=Found. Trends Signal Process. |date=2010 |volume=3 |issue=4 |pages=203–303 |doi=10.1561/2000000036 |url=https://ee.stanford.edu/~gray/lpcip.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://ee.stanford.edu/~gray/lpcip.pdf |archive-date=2022-10-09 |url-status=live |issn=1932-8346|doi-access=free }}</ref> LPC technology was advanced by Bishnu Atal and [[Manfred Schroeder]] during the 1970s{{ndash}}1980s.<ref name="Gray"/> In 1978, Atal and Vishwanath ''et al.'' of BBN developed the first [[variable bitrate|variable-rate]] LPC algorithm.<ref name="Gray"/> The same year, Atal and [[Manfred R. Schroeder]] at Bell Labs proposed an LPC speech [[codec]] called [[adaptive predictive coding]], which used a [[psychoacoustic]] coding algorithm exploiting the masking properties of the human ear.<ref name="Schroeder2014">{{cite book|last1=Schroeder|first1=Manfred R.|title=Acoustics, Information, and Communication: Memorial Volume in Honor of Manfred R. Schroeder|date=2014|publisher=Springer|isbn=9783319056609|chapter=Bell Laboratories|page=388|chapter-url=https://books.google.com/books?id=d9IkBAAAQBAJ&pg=PA388}}</ref><ref>{{cite book|last1=Atal|first1=B.|last2=Schroeder|first2=M.|title=ICASSP '78. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Predictive coding of speech signals and subjective error criteria |date=1978|volume=3|pages=573–576|doi=10.1109/ICASSP.1978.1170564}}</ref> This later became the basis for the [[perceptual coding]] technique used by the [[MP3]] [[audio compression (data)|audio compression]] format, introduced in 1993.<ref name="Schroeder2014"/> [[Code-excited linear prediction]] (CELP) was developed by Schroeder and Atal in 1985.<ref>{{cite book|last1=Schroeder|first1=Manfred R.|author1-link=Manfred R. Schroeder|last2=Atal|first2=Bishnu S.|title=ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing |chapter=Code-excited linear prediction(CELP): High-quality speech at very low bit rates |author2-link=Bishnu S. Atal|date=1985|volume=10|pages=937–940|doi=10.1109/ICASSP.1985.1168147|s2cid=14803427}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>LPC is the basis for [[voice-over-IP]] (VoIP) technology.<ref name="Gray"/> In 1972, [[Bob Kahn]] of [[Defense Advanced Research Projects Agency|ARPA]] with Jim Forgie of [[Lincoln Laboratory]] (LL) and Dave Walden of [[BBN Technologies]] started the first developments in packetized speech, which would eventually lead to voice-over-IP technology. In 1973, according to Lincoln Laboratory informal history, the first real-time 2400&nbsp;[[bit]]/[[Second|s]] LPC was implemented by Ed Hofstetter. In 1974, the first real-time two-way LPC packet speech communication was accomplished over the [[ARPANET]] at 3500&nbsp;bit/s between Culler-Harrison and Lincoln Laboratory. In 1976, the first LPC conference took place over the ARPANET using the [[Network Voice Protocol]], between Culler-Harrison, ISI, SRI, and LL at 3500&nbsp;bit/s.{{Citation needed|date=December 2019}}{{Clarify|reason=What do the abbreviations ISI and SRI represent? They need to be defined, like Lincoln Laboratory (LL) is defined earlier.|date=March 2024}}</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>LPC is the basis for [[voice-over-IP]] (VoIP) technology.<ref name="Gray"/> In 1972, [[Bob Kahn]] of [[Defense Advanced Research Projects Agency|ARPA]] with Jim Forgie of [[Lincoln Laboratory]] (LL) and Dave Walden of [[BBN Technologies]] started the first developments in packetized speech, which would eventually lead to voice-over-IP technology. In 1973, according to Lincoln Laboratory informal history, the first real-time 2400&nbsp;[[bit]]/[[Second|s]] LPC was implemented by Ed Hofstetter. In 1974, the first real-time two-way LPC packet speech communication was accomplished over the [[ARPANET]] at 3500&nbsp;bit/s between Culler-Harrison and Lincoln Laboratory. In 1976, the first LPC conference took place over the ARPANET using the [[Network Voice Protocol]], between Culler-Harrison, <ins style="font-weight: bold; text-decoration: none;">Information Sciences Institute (</ins>ISI<ins style="font-weight: bold; text-decoration: none;">)</ins>, <ins style="font-weight: bold; text-decoration: none;">Stanford Research Institute (</ins>SRI<ins style="font-weight: bold; text-decoration: none;">)</ins>, and LL at 3500&nbsp;bit/s.{{Citation needed|date=December 2019}}{{Clarify|reason=What do the abbreviations ISI and SRI represent? They need to be defined, like Lincoln Laboratory (LL) is defined earlier.|date=March 2024}}</div></td>
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</table>Proudbharatihttps://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1261421351&oldid=prevIznoRepeat: /* External links */ add WP:TEMPLATECAT to remove from template; genfixes2024-12-06T00:52:44Z<p><span class="autocomment">External links: </span> add <a href="/wiki/Wikipedia:TEMPLATECAT" class="mw-redirect" title="Wikipedia:TEMPLATECAT">WP:TEMPLATECAT</a> to remove from template; genfixes</p>
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</table>IznoRepeathttps://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1246219623&oldid=prevCitation bot: Added doi. | Use this bot. Report bugs. | Suggested by Abductive | Category:Use American English from June 2021 | #UCB_Category 627/8162024-09-17T16:52:37Z<p>Added doi. | <a href="/wiki/Wikipedia:UCB" class="mw-redirect" title="Wikipedia:UCB">Use this bot</a>. <a href="/wiki/Wikipedia:DBUG" class="mw-redirect" title="Wikipedia:DBUG">Report bugs</a>. | Suggested by Abductive | <a href="/wiki/Category:Use_American_English_from_June_2021" title="Category:Use American English from June 2021">Category:Use American English from June 2021</a> | #UCB_Category 627/816</p>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | journal = The Bell System Technical Journal |year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | journal = The Bell System Technical Journal |year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs<ins style="font-weight: bold; text-decoration: none;">| doi=10.1002/j.1538-7305.1952.tb01403.x </ins>}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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</table>Citation bothttps://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1244520744&oldid=prevPkna22: /* Further reading */Deleted wrong parameter (‘journal’ in a Book templare!), with a duplicated content.2024-09-07T16:18:40Z<p><span class="autocomment">Further reading: </span>Deleted wrong parameter (‘journal’ in a Book templare!), with a duplicated content.</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*{{Cite journal|last=O'Shaughnessy|first=D.|year=1988|title=Linear predictive coding|journal=IEEE Potentials|volume=7|issue=1|pages=29–32|doi=10.1109/45.1890|s2cid=12786562}}</div></td>
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</table>Pkna22https://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1244520244&oldid=prevPkna22: /* Further reading */Fixed wrong parameter (‘journal’ in a Book template!)2024-09-07T16:14:51Z<p><span class="autocomment">Further reading: </span>Fixed wrong parameter (‘journal’ in a Book template!)</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Further reading==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*{{Cite journal|last=O'Shaughnessy|first=D.|year=1988|title=Linear predictive coding|journal=IEEE Potentials|volume=7|issue=1|pages=29–32|doi=10.1109/45.1890|s2cid=12786562}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*{{Cite journal|last=O'Shaughnessy|first=D.|year=1988|title=Linear predictive coding|journal=IEEE Potentials|volume=7|issue=1|pages=29–32|doi=10.1109/45.1890|s2cid=12786562}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*{{cite book|last=El-Jaroudi|first=Amro|title=Wiley Encyclopedia of Telecommunications|year=2003|chapter=Linear Predictive Coding|journal=Encyclopedia of Telecommunications|doi=10.1002/0471219282.eot155|isbn=978-0471219286}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*{{cite book|last=El-Jaroudi|first=Amro|title=Wiley Encyclopedia of Telecommunications|year=2003|chapter=Linear Predictive Coding|journal=Encyclopedia of Telecommunications|doi=10.1002/0471219282.eot155|isbn=978-0471219286}}</div></td>
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</table>Pkna22https://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1244519785&oldid=prevPkna22: /* Early history */Added journal2024-09-07T16:10:54Z<p><span class="autocomment">Early history: </span>Added journal</p>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | format=pdf| publisher = Michigan Publishing|url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | <ins style="font-weight: bold; text-decoration: none;">journal = The Bell System Technical Journal |</ins>year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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</table>Pkna22https://en.wikipedia.org/w/index.php?title=Linear_predictive_coding&diff=1244519441&oldid=prevPkna22: /* Early history */Added publisher2024-09-07T16:08:09Z<p><span class="autocomment">Early history: </span>Added publisher</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Early history==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Early history==</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | <ins style="font-weight: bold; text-decoration: none;">format=pdf| publisher = Michigan Publishing|</ins>url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x }}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory| doi=10.1109/TIT.1955.1055126 }}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory| doi=10.1109/TIT.1955.1055116 }}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal}}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory}}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory}}</ref></div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Linear prediction (signal estimation) goes back to at least the 1940s when [[Norbert Wiener]] developed a mathematical theory for calculating the best [[Wiener filter|filters]] and predictors for detecting signals hidden in noise.<ref>{{cite journal | author=B.S. Atal | title=The history of linear prediction | year=2006 | pages=154–161 | volume=23 | issue=2 | journal=IEEE Signal Processing Magazine| doi=10.1109/MSP.2006.1598091 | bibcode=2006ISPM...23..154A | s2cid=15601493 | url=https://www.researchgate.net/publication/3321695}}</ref><ref name="Sasahira">{{cite journal |author1=Y. Sasahira |author2=S. Hashimoto | title=Voice pitch changing by Linear Predictive Coding Method to keep the Singer's Personal Timbre | year=1995 | url=https://quod.lib.umich.edu/cgi/p/pod/dod-idx/voice-pitch-changing.pdf?c=icmc;idno=bbp2372.1995.118;format=pdf}}</ref> Soon after [[Claude Shannon]] established a [[A Mathematical Theory of Communication|general theory of coding]], work on predictive coding was done by [[C. Chapin Cutler]],<ref>{{cite patent | inventor=C. C. Cutler | title=Differential quantization of communication signals | pubdate=1952-07-29 | country=US|number=2605361}}</ref> [[Bernard M. Oliver]]<ref>{{cite journal | author=B. M. Oliver | title=Efficient coding | year=1952 | volume=31 | issue=4 | pages=724–750 | publisher=Nokia Bell Labs}}</ref> and Henry C. Harrison.<ref>{{cite journal | author=H. C. Harrison | title=Experiments with linear prediction in television | year=1952 | volume=31 | pages=764–783 | journal=Bell System Technical Journal<ins style="font-weight: bold; text-decoration: none;">| issue=4 | doi=10.1002/j.1538-7305.1952.tb01405.x </ins>}}</ref> [[Peter Elias]] in 1955 published two papers on predictive coding of signals.<ref>{{cite journal | author=P. Elias | title=Predictive coding I | year=1955 | pages=16–24 | volume=IT-1 no. 1 | journal=IRE Trans. Inform.Theory<ins style="font-weight: bold; text-decoration: none;">| doi=10.1109/TIT.1955.1055126 </ins>}}</ref><ref>{{cite journal | author=P. Elias | title=Predictive coding II | year=1955 | pages=24–33 | volume=IT-1 no. 1 | journal=IRE Trans. Inform. Theory<ins style="font-weight: bold; text-decoration: none;">| doi=10.1109/TIT.1955.1055116 </ins>}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Linear predictors were applied to speech analysis independently by [[Fumitada Itakura]] of [[Nagoya University]] and Shuzo Saito of [[Nippon Telegraph and Telephone]] in 1966 and in 1967 by [[Bishnu S. Atal]], [[Manfred R. Schroeder]] and John Burg. Itakura and Saito described a statistical approach based on [[maximum likelihood estimation]]; Atal and Schroeder described an [[adaptive filter|adaptive linear predictor]] approach; Burg outlined an approach based on [[maximum entropy spectral estimation|principle of maximum entropy]].<ref name="Sasahira" /><ref>{{cite journal |author1=S. Saito |author2=F. Itakura | title=Theoretical consideration of the statistical optimum recognition of the spectral density of speech | date=Jan 1967 | journal=J. Acoust. Soc.Japan}}</ref><ref>{{cite journal |author1=B.S. Atal |author2=M.R. Schroeder | title=Predictive coding of speech | year=1967 | journal=Conf. Communications and Proc}}</ref><ref>{{cite journal | author=J.P. Burg | title=Maximum Entropy Spectral Analysis | year=1967 | journal=Proceedings of 37th Meeting, Society of Exploration Geophysics, Oklahoma City}}</ref></div></td>
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