On Distribution Preserving Quantization

M. Rosenblatt, “Remarks on a multivariate transformation,” The Annals of Mathematical Statistics , vol. 23, no. 3, pp. 470 – 472, 1952

1952

Earlier work this paper cites.

R. L. Dobrušin, “General formulation of Shannon’s main theorem in information theory,” American Mathematical Society Translations , vol. 33, pp. 323 – 438, 1963

1963

Earlier work this paper cites.

L. Schuchman, “Dither signals and their effect on quantization noise,” Communication Technology, IEEE Transactions on , vol. 12, no. 4, pp. 162 – 165, December 1964

1964

Earlier work this paper cites.

P. J. Davis, “Gamma function and related functions,” in Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables , M. Abramowitz and I. A. Stegun, Eds. National Bureau of Standards, 1964

1964

Earlier work this paper cites.

P. Billingsley, Ergodic Theory and Information . John Wiley & Sons, 1965

1965

Earlier work this paper cites.

T. Berger, Rate-distortion theory: A mathematical basis for data compression . Englewood Cliffs, NJ: Prentice-Hall, 1971

1971

Earlier work this paper cites.

H. P. McKean, “Geometry of differential space,” The Annals of Probability , vol. 1, no. 2, pp. 197–206, 1973

1973

Earlier work this paper cites.

——, “Image compression using block truncation coding,” IEEE Transactions on Communications , vol. 27, no. 9, pp. 1335–1342, 1979

1979

Earlier work this paper cites.

R. McAulay and T. Quatieri, “Speech analysis/synthesis based on a sinusoidal representation,” IEEE Transactions on Acoustics, Speech, and Signal Processing , vol. 34, no. 4, pp. 744–754, 1986

1986

Earlier work this paper cites.

R. Ulichney, Digital Halftoning . The MIT Press, 1987

1987

Earlier work this paper cites.

E. J. Delp and O. R. Mitchell, “Moment preserving quantization,” IEEE Transactions on Communications , vol. 39, no. 11, pp. 1549–1558, 1991

1991

Cited alongside, same era.

R. Zamir and M. Feder, “On universal quantization by randomized uniform/lattice quantizers,” Information Theory, IEEE Transactions on , vol. 38, no. 2, pp. 428–436, Mar 1992

1992

Cited alongside, same era.

R. M. Gray and J. Stockham, T. G., “Dithered quantizers,” IEEE Transactions on Information Theory , vol. 39, no. 3, pp. 805–812, 1993

1993

Cited alongside, same era.

K. Rose, “A mapping approach to rate-distortion computation and analysis,” IEEE Transactions on Information Theory , vol. 40, no. 6, pp. 1939–1952, 1994

1994

Cited alongside, same era.

T. Linder and R. Zamir, “On the asymptotic tightness of the shannon lower bound,” IEEE Transactions on Information Theory , vol. 40, no. 6, pp. 2026–2031, 1994

J. Forney, G. D., M. D. Trott, and S.-Y. Chung, “Sphere-bound-achieving coset codes and multilevel coset codes,” IEEE Transactions on Information Theory , vol. 46, no. 3, pp. 820–850, 2000

2000

Later among the works it cites.

E. Simoncelli and B. Olshausen, “Natural image statistics and neural representation,” Annual Review of Neuroscience , vol. 24, pp. 1193–1216, 2001

2001

Later among the works it cites.

M. Dietz, L. Liljeryd, K. Kjorling, and O. Kunz, “Spectral band replication, a novel approach in audio coding,” in Audio Engineering Society Convention 112 , 2002

2002

Later among the works it cites.

U. Erez, S. Litsyn, and R. Zamir, “Lattices which are good for (almost) everything,” IEEE Transactions on Information Theory , vol. 51, no. 10, pp. 3401–3416, 2005

Original

2005

Later among the works it cites.