Achieving the Gaussian Rate-Distortion Function by Prediction

Ram Zamir; Yuval Kochman; Uri Erez

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arXiv · 0711.1766

Achieving the Gaussian Rate-Distortion Function by Prediction

Ram Zamir·Yuval Kochman·Uri Erez

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Abstract

The "water-filling" solution for the quadratic rate-distortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain "test-channel" realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. This solution has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector-quantized differential pulse code modulation (DPCM), and a duality relationship with decision-feedback equalization (DFE) for inter-symbol interference (ISI) channels.

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Ram Zamir, Yuval Kochman, Uri Erez. 2008-02-18. Achieving the Gaussian Rate-Distortion Function by Prediction. https://arxiv.org/abs/0711.1766

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