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Rate Distortion Performance in Coding Band-Limited Sources by Sampling and Dithered Quantization (1995)
| Venue: | IEEE Trans. Inform. Theory |
| Citations: | 22 - 5 self |
BibTeX
@ARTICLE{Zamir95ratedistortion,
author = {Ram Zamir and Meir Feder},
title = {Rate Distortion Performance in Coding Band-Limited Sources by Sampling and Dithered Quantization},
journal = {IEEE Trans. Inform. Theory},
year = {1995},
volume = {41},
pages = {141--154}
}
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Abstract
The rate-distortion characteristics of a scheme for encoding continuous-time band-limited stationary sources, with a prescribed band, is considered. In this coding procedure the input is sampled at Nyquist's rate or faster, the samples undergo dithered uniform or lattice quantization, using subtractive dither, and the quantizer output is entropy coded. The rate-distortion performance, and the trade-off between the sampling rate and the quantization accuracy is investigated, utilizing the observation that the coding scheme is equivalent to an additive noise channel. It is shown that the mean-square error of the scheme is fixed as long as the product of the sampling period and the quantizer second moment is kept constant, while for a fixed distortion the coding rate generally increases when the sampling rate exceeds the Nyquist rate. Finally, as the lattice quantizer dimension becomes large, the equivalent additive noise channel of the scheme tends to be Gaussian, and both the rate and t...
Keyphrases
dithered quantization coding band-limited source rate distortion performance quantization accuracy lattice quantization lattice quantizer dimension prescribed band subtractive dither rate-distortion performance mean-square error equivalent additive noise channel continuous-time band-limited stationary source coding rate sampling period additive noise channel quantizer output coding procedure fixed distortion nyquist rate quantizer second moment rate-distortion characteristic
