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Nonasymptotic Noisy Lossy Source Coding

机译:非渐近噪声有损源编码

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This paper shows new general nonasymptotic achievability and converse bounds and performs their dispersion analysis for the lossy compression problem in which the compressor observes the source through a noisy channel. While this problem is asymptotically equivalent to a noiseless lossy source coding problem with a modified distortion function, nonasymptotically there is a noticeable gap in how fast their minimum achievable coding rates approach the common rate-distortion function, as evidenced both by the refined asymptotic analysis (dispersion) and the numerical results. The size of the gap between the dispersions of the noisy problem and the asymptotically equivalent noiseless problem depends on the stochastic variability of the channel through which the compressor observes the source.
机译:本文展示了新的一般非渐近可实现性和逆界,并对有损压缩问题进行了色散分析,在该问题中,压缩器通过一个有噪声的通道观察源。尽管此问题在渐近性上等同于具有修改后的失真函数的无噪声有损源编码问题,但在非渐近性上,其最小可达到的编码速率接近普通速率失真函数的速度有明显的差距,这两者均通过精炼的渐近分析得到了证明(色散)和数值结果。噪声问题和渐近等效无噪声问题的色散之间的间隙大小取决于压缩机观察源的通道的随机变异性。

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