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The theory was developed by Bennett (33) in 1948 and, as with Shannon rate-distortion theory, has been widely extended since. It is the source of the ‘‘6 dB per bit’’ rule of thumb for performance improvement of uniform quantizers with bit rate, as well as of the common practice (which is often misused) of modeling quantization error as white noise. For example, the Bennett approximation for the optimal distortion using fixed rate scalar quantization on a Gaussian source is (34) 12. R. M. Gray, Vector quantization, IEEE Acoust.
4, 7: 1959, 142–163. 33. A. Gersho, Asymptotically optimal block quantization, IEEE Trans. Inf. Theory, 25: 373–380, 1979. 34. A. Gersho, Principles of Quantization, IEEE Trans. , 25: 427–436, 1978. Reading List 1. R. M. Gray and D. L. Neuhoff, Quantization, IEEE Trans. Inf. Theory, 1998. 2. M. Rabbani and P. W. Jones, Digital Image Compression Techniques, Tutorial Texts in Optical Engineering, vol. 7, Bellingham, WA: SPIE Optical Eng. Press, 1991. 3. J. L. , MPEG Video Compression Standard, London: Chapman & Hall, 1997.
B. Pennebaker and J. L. Mitchell, JPEG: Still Image Data Compression Standard, New York: Van Nostrand Reinhold, 1993. 2. J. L. , MPEG Video Compression Standard, London: Chapman & Hall, 1997. 26. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding, Upper Saddle River, NJ: Prentice-Hall PTR, 1995. 27. J. Princey and A. Bradley, Analysis/synthesis filter bank design based on time domain aliasing cancellation, IEEE Trans. Acoust. , 3: 1153–1161, 1986. 28. A. Croisier, D. Esteban, and C. Galand, Perfect channel splitting by use of interpolation/decimation techniques, Proc.