Achieving the Gaussian Rate–Distortion Function by Prediction

@article{Zamir2006AchievingTG,
  title={Achieving the Gaussian Rate–Distortion Function by Prediction},
  author={Ram Zamir and Yuval Kochman and Uri Erez},
  journal={IEEE Transactions on Information Theory},
  year={2006},
  volume={54},
  pages={3354-3364}
}
The ldquowater-fillingrdquo 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 ldquotest-channelrdquo realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. The predictive test channel has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector… CONTINUE READING
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