Achieving the Gaussian Rate–Distortion Function by Prediction

Ram Zamir, Yuval Kochman, Uri Erez
2008 IEEE Transactions on Information Theory  
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 vector-quantized differential pulse code modulation
more » ... code modulation (DPCM), and a duality relationship with decision-feedback equalization (DFE) for inter-symbol interference (ISI) channels.
doi:10.1109/tit.2008.924683 fatcat:d4subek76vgnrellgndqcincia