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Abstract: The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analog-to-digital conversion was first recognized during the early development of pulse code modulation systems, especially in the 1948 paper of Oliver, Pierce, and Shannon. Also in 1948, Bennett published the first high-resolution analysis of quantization and an exact analysis of quantization... (Update)
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BibTeX entry: (Update)
R.M. Gray and D.L. Neuho#, "Quantization," IEEE Transactions on Information Theory, this issue. http://citeseer.ist.psu.edu/article/gray98quantization.html More
@inproceedings{ gray98quantization,
author = "Robert M. Gray and Keren Perlmutter and Richard A. Olshen",
title = "Quantization, Classification, and Density Estimation for Kohonen's Gaussian Mixture",
booktitle = "Data Compression Conference",
pages = "63-72",
year = "1998",
url = "citeseer.ist.psu.edu/article/gray98quantization.html" }
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27 Optimal bit allocation via the generalized BFOS algorithm - Riskin - 1991
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25 Bennett's integral for vector quantizers - Na, Neuhoff - 1995
25 High-resolution source coding for non-difference distortion .. - Linder, Zamir - 1997
25 High resolution source coding for non-difference distortion .. - Linder, Zamir et al.
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23 Successive refinement of information: characterization of th.. (context) - Rimoldi - 1994
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21 A fast encoding method for lattice codes and quantizers (context) - Conway, Sloane - 1983
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21 Optimum quantizers and permutation codes (context) - Berger - 1972
20 The rate-distortion region for multiple descriptions without.. - Ahlswede - 1985
20 Quantization Noise Spectra (context) - Gray - 1990
19 Entropy-constrained trellis-coded quantization (context) - Fischer, Wang - 1992
19 Quantization and the method of k-means (context) - Pollard - 1982
19 Universal Quantization (context) - Ziv - 1985
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18 Asymptotic performance of vector quantizers with a perceptua.. - Li, Chaddha et al. - 1997
18 Transmission of noisy information to a noisy receiver with m.. (context) - Wolf, Ziv - 1970
18 A structured fixed-rate vector quantizer derived from a vari.. (context) - Laroia, Farvardin - 1993
17 Uniform and piecewise uniform lattice vector quantization fo.. (context) - Jeong, Gibson - 1993
17 A necessary and sufficient condition for quantization errors.. (context) - Sripad, Snyder - 1977
17 Quantizing for minimum distortion (context) - Roe - 1964
17 Product code vector quantizers for waveform and voice coding (context) - Sabin, Gray - 1984
17 Asymptotic analysis of multiple description quantizers - Vaishampayan, Batllo - 1998
16 Joint source and noisy channel trellis encoding (context) - Dunham, Gray - 1981
16 Principal points and selfconsistent points of elliptical dis.. (context) - Tarpey, Li et al. - 1995
16 Picture coding using pseudo-random noise (context) - Roberts - 1962
15 A new class of lower bounds to information rates of stationa.. (context) - Gray - 1973
15 Dither signals and their effects on quantization noise (context) - Schuchman - 1964
15 Fixed rate universal block source coding with a fidelity cri.. (context) - Neuhoff, Gray et al. - 1975
15 Pyramidal lattice vector quantization for multiscale image c.. (context) - Barlaud, Sol'e et al. - 1994
15 Simulated annealing and codebook design (context) - Vaisey, Gersho - 1988
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15 Image and Video Compression Standards (context) - Bhaskaran, Konstantinides - 1995
15 Image coding using wavelet transforms and entropy-constraine.. (context) - Sriram, Marcellin - 1995
15 Two results on the asymptotic performance of quantizers (context) - Bucklew - 1984
15 ISODATA: A novel method of data analysis and pattern classif.. (context) - Hall, Ball - 1965
15 Information rates of autoregressive processes (context) - Gray - 1971
14 Trellis-coded vector quantization (context) - Fischer, Marcellin et al. - 1991
14 Finite-state vector quantization for waveform coding (context) - Foster, Gray et al. - 1985
14 On entropy-constrained trellis-coded quantization (context) - Marcellin - 1994
14 A linear coding for transmitting a set of correlated signals (context) - Kramer, Mathews - 1956
14 Some properties of uniform step size quantizers (context) - Bucklew, Gallagher - 1980
14 The structure of quantization noise from Sigma-Delta modulat.. (context) - Candy, Benjamin - 1981
14 Conditional entropyconstrained vector quantization of linear.. (context) - Chou, Lookabaugh - 1990
13 The minimax distortion redundancy in empirical quantizer des.. - Bartlett, Linder et al. - 1997
13 Index assignment for progressive transmission of full-search.. - Riskin, Ladner et al. - 1994
13 Lattice quantization (context) - Gibson, Sayood - 1988
13 Predictive vector quantization of images (context) - Hang, Woods - 1985
13 The Hadamard transform - a tool for index assignment (context) - Knagenhjelm, Agrell - 1996
13 The redundancy of source coding with a fidelity criterion --.. (context) - Zhang, Yang et al. - 1997
13 Clustering analysis (context) - Diday, Simon - 1976
13 Globally optimal vector quantizer design by stochastic relax.. (context) - Zeger, Vaisey et al. - 1992
13 Universal source coding with codebook transmission (context) - Zeger, Bist et al. - 1994
12 Vector quantizers with direct sum codebooks (context) - Barnes, Frost - 1993
12 Multiple stage vector quantization for speech coding (context) - Juang, Gray - 1982
12 Statistics of television signals (context) - Kretzmer - 1952
12 Recursive optimal pruning with applications to tree structur.. (context) - Kiang, Baker et al. - 1992
12 Advances in residual vector quantization: a review (context) - Barnes, Rizvi et al. - 1996
12 Fast Search Algorithms for Vector Quantization and Pattern M.. (context) - Cheng, Gersho et al. - 1984
12 Fast algorithm for full-search VQ encoding (context) - Poggi - 1993
12 the Shannon theory of information transmission in the case o.. (context) - Kolmogorov - 1956
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12 A fast codebook search algorithm for nearest-neighbor patter.. (context) - Cheng, Gersho - 1986
12 Asymptotic analysis of optimal fixed-rate uniform scalar qua.. - Hui, Neuhoff
12 Image coding using lattice vector quantization of wavelet co.. (context) - Antonini, Barlaud et al. - 1991
12 Digital coding of speech in sub-bands (context) - Crochiere, Webber et al. - 1976
12 the asymptotic distribution of the errors in vector quantiza.. - Neuhoff - 1996
12 Sufficient conditions for uniqueness of a locally optimal qu.. (context) - Trushkin - 1982
12 Oversampled Sigma-Delta Modulation (context) - Gray - 1987
12 Fast closest codeword search algorithm for vector quantisati.. (context) - Lee, Chen - 1994
12 Bounds on the rate-distortion function for stationary source.. (context) - Wyner, Ziv - 1971
12 The multiple description rate region for high resolution sou.. - Linder, Zamir et al. - 1998
11 A unified approach to tree-structured and multistage vector .. (context) - Phamdo, Farvardin et al. - 1993
11 Evaluation of epsilon entropy of random variables for small .. (context) - Linkov - 1965
11 Predictive coding (context) - Elias - 1950
11 Information transmission with additional noise (context) - Dobrushin, Tsybakov - 1962
11 A simple class of asymptotically optimal quantizers (context) - Cambanis, Gerr - 1983
11 Analysis of digital errors in nonlinear PCM systems (context) - Rydbeck, Sundberg - 1976
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