Achieving the Gaussian Rate-Distortion Function by Prediction

Abstract— The “water-filling” solution for the quadratic ratedistortion 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 decisionfeedback equalization (DFE) for inter-symbol interference (ISI) channels.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Ram Zamir, Yuval Kochman, Uri Erez
• Keywords: Alternative Time-domain Realization, CORR 2007, Education, Quadratic Ratedistortion Function, Stationary Gaussian Source