Quantization (signal processing) (English Wikipedia)

Rabbani, Majid; Joshi, Rajan L.; Jones, Paul W. (2009). "Section 1.2.3: Quantization, in Chapter 1: JPEG 2000 Core Coding System (Part 1)". In Schelkens, Peter; Skodras, Athanassios; Ebrahimi, Touradj (eds.). The JPEG 2000 Suite. John Wiley & Sons. pp. 22–24. ISBN 978-0-470-72147-6.
Taubman, David S.; Marcellin, Michael W. (2002). "Chapter 3: Quantization". JPEG2000: Image Compression Fundamentals, Standards and Practice. Kluwer Academic Publishers. p. 107. ISBN 0-7923-7519-X.

books.google.com (Global: 3^rd place; English: 3^rd place)

Seymour Stein and J. Jay Jones, Modern Communication Principles, McGraw–Hill, ISBN 978-0-07-061003-3, 1967 (p. 196).
Allen Gersho; Robert M. Gray (1991). Vector Quantization and Signal Compression. Springer. ISBN 978-0-7923-9181-4.
Pohlman, Ken C. (1989). Principles of Digital Audio 2nd Edition. SAMS. p. 60. ISBN 9780071441568.

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Sheppard, W. F. (1897). "On the Calculation of the most Probable Values of Frequency-Constants, for Data arranged according to Equidistant Division of a Scale". Proceedings of the London Mathematical Society. s1-29 (1). Wiley: 353–380. doi:10.1112/plms/s1-29.1.353. ISSN 0024-6115.
Oliver, B.M.; Pierce, J.R.; Shannon, C.E. (1948). "The Philosophy of PCM". Proceedings of the IRE. 36 (11): 1324–1331. doi:10.1109/jrproc.1948.231941. ISSN 0096-8390. S2CID 51663786.
Gish, H.; Pierce, J. (1968). "Asymptotically efficient quantizing". IEEE Transactions on Information Theory. 14 (5): 676–683. Bibcode:1968ITIT...14..676G. doi:10.1109/tit.1968.1054193. ISSN 0018-9448.
Gray, R.M.; Neuhoff, D.L. (1998). "Quantization". IEEE Transactions on Information Theory. 44 (6): 2325–2383. Bibcode:1998ITIT...44.2325G. doi:10.1109/18.720541. ISSN 0018-9448. S2CID 212653679.
Gersho, A. (1977). "Quantization". IEEE Communications Society Magazine. 15 (5): 16–28. Bibcode:1977ICScM..15...16G. doi:10.1109/mcom.1977.1089500. ISSN 0148-9615. S2CID 260498692.
Sullivan, G.J. (1996). "Efficient scalar quantization of exponential and Laplacian random variables". IEEE Transactions on Information Theory. 42 (5): 1365–1374. Bibcode:1996ITIT...42.1365S. doi:10.1109/18.532878. ISSN 0018-9448.
Widrow, B. (1956). "A Study of Rough Amplitude Quantization by Means of Nyquist Sampling Theory". IRE Transactions on Circuit Theory. 3 (4): 266–276. doi:10.1109/tct.1956.1086334. hdl:1721.1/12139. ISSN 0096-2007. S2CID 16777461.
Widrow, B. (1961). "Statistical analysis of amplitude-quantized sampled-data systems" (PDF). Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry. 79 (6): 555–568. doi:10.1109/TAI.1961.6371702. Archived from the original (PDF) on 2011-04-01. Retrieved 2012-08-17.
Marco, D.; Neuhoff, D.L. (2005). "The Validity of the Additive Noise Model for Uniform Scalar Quantizers". IEEE Transactions on Information Theory. 51 (5): 1739–1755. Bibcode:2005ITIT...51.1739M. doi:10.1109/tit.2005.846397. ISSN 0018-9448. S2CID 14819261.
Farvardin, N.; Modestino, J. (1984). "Optimum quantizer performance for a class of non-Gaussian memoryless sources". IEEE Transactions on Information Theory. 30 (3): 485–497. Bibcode:1984ITIT...30..485F. doi:10.1109/tit.1984.1056920. ISSN 0018-9448.(Section VI.C and Appendix B)
Berger, T. (1972). "Optimum quantizers and permutation codes". IEEE Transactions on Information Theory. 18 (6): 759–765. Bibcode:1972ITIT...18..759B. doi:10.1109/tit.1972.1054906. ISSN 0018-9448.
Berger, T. (1982). "Minimum entropy quantizers and permutation codes". IEEE Transactions on Information Theory. 28 (2): 149–157. Bibcode:1982ITIT...28..149B. doi:10.1109/tit.1982.1056456. ISSN 0018-9448.
Lloyd, S. (1982). "Least squares quantization in PCM". IEEE Transactions on Information Theory. 28 (2): 129–137. Bibcode:1982ITIT...28..129L. CiteSeerX 10.1.1.131.1338. doi:10.1109/tit.1982.1056489. ISSN 0018-9448. S2CID 10833328. (work documented in a manuscript circulated for comments at Bell Laboratories with a department log date of 31 July 1957 and also presented at the 1957 meeting of the Institute of Mathematical Statistics, although not formally published until 1982).
Max, J. (1960). "Quantizing for minimum distortion". IEEE Transactions on Information Theory. 6 (1): 7–12. Bibcode:1960ITIT....6....7M. doi:10.1109/tit.1960.1057548. ISSN 0018-9448.
Chou, P.A.; Lookabaugh, T.; Gray, R.M. (1989). "Entropy-constrained vector quantization". IEEE Transactions on Acoustics, Speech, and Signal Processing. 37 (1): 31–42. Bibcode:1989ITASS..37...31C. doi:10.1109/29.17498. ISSN 0096-3518.

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Widrow, B. (1956). "A Study of Rough Amplitude Quantization by Means of Nyquist Sampling Theory". IRE Transactions on Circuit Theory. 3 (4): 266–276. doi:10.1109/tct.1956.1086334. hdl:1721.1/12139. ISSN 0096-2007. S2CID 16777461.

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Gish, H.; Pierce, J. (1968). "Asymptotically efficient quantizing". IEEE Transactions on Information Theory. 14 (5): 676–683. Bibcode:1968ITIT...14..676G. doi:10.1109/tit.1968.1054193. ISSN 0018-9448.
Gray, R.M.; Neuhoff, D.L. (1998). "Quantization". IEEE Transactions on Information Theory. 44 (6): 2325–2383. Bibcode:1998ITIT...44.2325G. doi:10.1109/18.720541. ISSN 0018-9448. S2CID 212653679.
Gersho, A. (1977). "Quantization". IEEE Communications Society Magazine. 15 (5): 16–28. Bibcode:1977ICScM..15...16G. doi:10.1109/mcom.1977.1089500. ISSN 0148-9615. S2CID 260498692.
Sullivan, G.J. (1996). "Efficient scalar quantization of exponential and Laplacian random variables". IEEE Transactions on Information Theory. 42 (5): 1365–1374. Bibcode:1996ITIT...42.1365S. doi:10.1109/18.532878. ISSN 0018-9448.
Marco, D.; Neuhoff, D.L. (2005). "The Validity of the Additive Noise Model for Uniform Scalar Quantizers". IEEE Transactions on Information Theory. 51 (5): 1739–1755. Bibcode:2005ITIT...51.1739M. doi:10.1109/tit.2005.846397. ISSN 0018-9448. S2CID 14819261.
Farvardin, N.; Modestino, J. (1984). "Optimum quantizer performance for a class of non-Gaussian memoryless sources". IEEE Transactions on Information Theory. 30 (3): 485–497. Bibcode:1984ITIT...30..485F. doi:10.1109/tit.1984.1056920. ISSN 0018-9448.(Section VI.C and Appendix B)
Berger, T. (1972). "Optimum quantizers and permutation codes". IEEE Transactions on Information Theory. 18 (6): 759–765. Bibcode:1972ITIT...18..759B. doi:10.1109/tit.1972.1054906. ISSN 0018-9448.
Berger, T. (1982). "Minimum entropy quantizers and permutation codes". IEEE Transactions on Information Theory. 28 (2): 149–157. Bibcode:1982ITIT...28..149B. doi:10.1109/tit.1982.1056456. ISSN 0018-9448.
Lloyd, S. (1982). "Least squares quantization in PCM". IEEE Transactions on Information Theory. 28 (2): 129–137. Bibcode:1982ITIT...28..129L. CiteSeerX 10.1.1.131.1338. doi:10.1109/tit.1982.1056489. ISSN 0018-9448. S2CID 10833328. (work documented in a manuscript circulated for comments at Bell Laboratories with a department log date of 31 July 1957 and also presented at the 1957 meeting of the Institute of Mathematical Statistics, although not formally published until 1982).
Max, J. (1960). "Quantizing for minimum distortion". IEEE Transactions on Information Theory. 6 (1): 7–12. Bibcode:1960ITIT....6....7M. doi:10.1109/tit.1960.1057548. ISSN 0018-9448.
Chou, P.A.; Lookabaugh, T.; Gray, R.M. (1989). "Entropy-constrained vector quantization". IEEE Transactions on Acoustics, Speech, and Signal Processing. 37 (1): 31–42. Bibcode:1989ITASS..37...31C. doi:10.1109/29.17498. ISSN 0096-3518.

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Lloyd, S. (1982). "Least squares quantization in PCM". IEEE Transactions on Information Theory. 28 (2): 129–137. Bibcode:1982ITIT...28..129L. CiteSeerX 10.1.1.131.1338. doi:10.1109/tit.1982.1056489. ISSN 0018-9448. S2CID 10833328. (work documented in a manuscript circulated for comments at Bell Laboratories with a department log date of 31 July 1957 and also presented at the 1957 meeting of the Institute of Mathematical Statistics, although not formally published until 1982).

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Oliver, B.M.; Pierce, J.R.; Shannon, C.E. (1948). "The Philosophy of PCM". Proceedings of the IRE. 36 (11): 1324–1331. doi:10.1109/jrproc.1948.231941. ISSN 0096-8390. S2CID 51663786.
Gray, R.M.; Neuhoff, D.L. (1998). "Quantization". IEEE Transactions on Information Theory. 44 (6): 2325–2383. Bibcode:1998ITIT...44.2325G. doi:10.1109/18.720541. ISSN 0018-9448. S2CID 212653679.
Gersho, A. (1977). "Quantization". IEEE Communications Society Magazine. 15 (5): 16–28. Bibcode:1977ICScM..15...16G. doi:10.1109/mcom.1977.1089500. ISSN 0148-9615. S2CID 260498692.
Widrow, B. (1956). "A Study of Rough Amplitude Quantization by Means of Nyquist Sampling Theory". IRE Transactions on Circuit Theory. 3 (4): 266–276. doi:10.1109/tct.1956.1086334. hdl:1721.1/12139. ISSN 0096-2007. S2CID 16777461.
Marco, D.; Neuhoff, D.L. (2005). "The Validity of the Additive Noise Model for Uniform Scalar Quantizers". IEEE Transactions on Information Theory. 51 (5): 1739–1755. Bibcode:2005ITIT...51.1739M. doi:10.1109/tit.2005.846397. ISSN 0018-9448. S2CID 14819261.
Lloyd, S. (1982). "Least squares quantization in PCM". IEEE Transactions on Information Theory. 28 (2): 129–137. Bibcode:1982ITIT...28..129L. CiteSeerX 10.1.1.131.1338. doi:10.1109/tit.1982.1056489. ISSN 0018-9448. S2CID 10833328. (work documented in a manuscript circulated for comments at Bell Laboratories with a department log date of 31 July 1957 and also presented at the 1957 meeting of the Institute of Mathematical Statistics, although not formally published until 1982).

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Widrow, B. (1961). "Statistical analysis of amplitude-quantized sampled-data systems" (PDF). Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry. 79 (6): 555–568. doi:10.1109/TAI.1961.6371702. Archived from the original (PDF) on 2011-04-01. Retrieved 2012-08-17.

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Widrow, B. (1961). "Statistical analysis of amplitude-quantized sampled-data systems" (PDF). Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry. 79 (6): 555–568. doi:10.1109/TAI.1961.6371702. Archived from the original (PDF) on 2011-04-01. Retrieved 2012-08-17.

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Sheppard, W. F. (1897). "On the Calculation of the most Probable Values of Frequency-Constants, for Data arranged according to Equidistant Division of a Scale". Proceedings of the London Mathematical Society. s1-29 (1). Wiley: 353–380. doi:10.1112/plms/s1-29.1.353. ISSN 0024-6115.
Oliver, B.M.; Pierce, J.R.; Shannon, C.E. (1948). "The Philosophy of PCM". Proceedings of the IRE. 36 (11): 1324–1331. doi:10.1109/jrproc.1948.231941. ISSN 0096-8390. S2CID 51663786.
Gish, H.; Pierce, J. (1968). "Asymptotically efficient quantizing". IEEE Transactions on Information Theory. 14 (5): 676–683. Bibcode:1968ITIT...14..676G. doi:10.1109/tit.1968.1054193. ISSN 0018-9448.
Gray, R.M.; Neuhoff, D.L. (1998). "Quantization". IEEE Transactions on Information Theory. 44 (6): 2325–2383. Bibcode:1998ITIT...44.2325G. doi:10.1109/18.720541. ISSN 0018-9448. S2CID 212653679.
Gersho, A. (1977). "Quantization". IEEE Communications Society Magazine. 15 (5): 16–28. Bibcode:1977ICScM..15...16G. doi:10.1109/mcom.1977.1089500. ISSN 0148-9615. S2CID 260498692.
Sullivan, G.J. (1996). "Efficient scalar quantization of exponential and Laplacian random variables". IEEE Transactions on Information Theory. 42 (5): 1365–1374. Bibcode:1996ITIT...42.1365S. doi:10.1109/18.532878. ISSN 0018-9448.
Widrow, B. (1956). "A Study of Rough Amplitude Quantization by Means of Nyquist Sampling Theory". IRE Transactions on Circuit Theory. 3 (4): 266–276. doi:10.1109/tct.1956.1086334. hdl:1721.1/12139. ISSN 0096-2007. S2CID 16777461.
Marco, D.; Neuhoff, D.L. (2005). "The Validity of the Additive Noise Model for Uniform Scalar Quantizers". IEEE Transactions on Information Theory. 51 (5): 1739–1755. Bibcode:2005ITIT...51.1739M. doi:10.1109/tit.2005.846397. ISSN 0018-9448. S2CID 14819261.
Farvardin, N.; Modestino, J. (1984). "Optimum quantizer performance for a class of non-Gaussian memoryless sources". IEEE Transactions on Information Theory. 30 (3): 485–497. Bibcode:1984ITIT...30..485F. doi:10.1109/tit.1984.1056920. ISSN 0018-9448.(Section VI.C and Appendix B)
Berger, T. (1972). "Optimum quantizers and permutation codes". IEEE Transactions on Information Theory. 18 (6): 759–765. Bibcode:1972ITIT...18..759B. doi:10.1109/tit.1972.1054906. ISSN 0018-9448.
Berger, T. (1982). "Minimum entropy quantizers and permutation codes". IEEE Transactions on Information Theory. 28 (2): 149–157. Bibcode:1982ITIT...28..149B. doi:10.1109/tit.1982.1056456. ISSN 0018-9448.
Lloyd, S. (1982). "Least squares quantization in PCM". IEEE Transactions on Information Theory. 28 (2): 129–137. Bibcode:1982ITIT...28..129L. CiteSeerX 10.1.1.131.1338. doi:10.1109/tit.1982.1056489. ISSN 0018-9448. S2CID 10833328. (work documented in a manuscript circulated for comments at Bell Laboratories with a department log date of 31 July 1957 and also presented at the 1957 meeting of the Institute of Mathematical Statistics, although not formally published until 1982).
Max, J. (1960). "Quantizing for minimum distortion". IEEE Transactions on Information Theory. 6 (1): 7–12. Bibcode:1960ITIT....6....7M. doi:10.1109/tit.1960.1057548. ISSN 0018-9448.
Chou, P.A.; Lookabaugh, T.; Gray, R.M. (1989). "Entropy-constrained vector quantization". IEEE Transactions on Acoustics, Speech, and Signal Processing. 37 (1): 31–42. Bibcode:1989ITASS..37...31C. doi:10.1109/29.17498. ISSN 0096-3518.

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Sheppard, W. F. (1897). "On the Calculation of the most Probable Values of Frequency-Constants, for Data arranged according to Equidistant Division of a Scale". Proceedings of the London Mathematical Society. s1-29 (1). Wiley: 353–380. doi:10.1112/plms/s1-29.1.353. ISSN 0024-6115.

Quantization (signal processing) (English Wikipedia)

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