Achieving the Gaussian Rate-Distortion Function by Prediction

Details Achieving the Gaussian Rate-Distortion Function by Prediction Achieving the Gaussian Rate-Distortion Function by Prediction

2007-11-12

arxiv.org/abs/0711.1766v4

Computer Science

Information Theory

To appear in IEEE Transactions on Information Theory

Scientific paper

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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