On the Rate Distortion Function of Certain Sources with a Proportional Mean-Square Error Distortion Measure
<|reference_start|>On the Rate Distortion Function of Certain Sources with a Proportional Mean-Square Error Distortion Measure: New bounds on the rate distortion function of certain non-Gaussian sources, with a proportional-weighted mean-square error (MSE) distortion measure, are given. The growth, g, of the rate distortion function, as a result of changing from a non-weighted MSE distortion measure to a proportional-weighted distortion criterion is analyzed. It is shown that for a small distortion, d, the growth, g, and the difference between the rate distortion functions of a Gaussian memoryless source and a source with memory, both with the same marginal statistics and MSE distortion measure, share the same lower bound. Several examples and applications are also given.<|reference_end|>
@article{binia2006on,
    title={On the Rate Distortion Function of Certain Sources with a Proportional
  Mean-Square Error Distortion Measure},
    author={Jacob Binia},
    journal={arXiv preprint arXiv:cs/0611096},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0611096},
    primaryClass={cs.IT math.IT}
}