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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.
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T. Weissman and N. Merhav, “Tradeoffs between the excess-code-length exponent and the excess-distortion exponent in lossy source coding,” IEEE Transactions on Information Theory , vol. 48, no. 2, pp. 396–415, Feb. 2002
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T. Weissman, “Universally attainable error exponents for rate-distortion coding of noisy sources,” IEEE Transactions on Information Theory , vol. 50, no. 6, pp. 1229–1246, June 2004
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A. Ingber, I. Leibowitz, R. Zamir, and M. Feder, “Distortion lower bounds for finite dimensional joint source-channel coding,” in Proceedings 2008 IEEE International Symposium on Information Theory , Toronto, ON, Canada, July 2008, pp. 1183–1187
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V. Kostina and S. Verdú, “Nonasymptotic noisy lossy source coding,” in Proceedings 2013 IEEE Information Theory Workshop , Seville, Spain, Sep. 9–13 2013
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V. Kostina, “Lossy data compression: nonasymptotic fundamental limits,” Ph.D. dissertation, Princeton University, Sep. 2013
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T. A. Courtade and T. Weissman, “Multiterminal source coding under logarithmic loss,” IEEE Transactions on Information Theory , vol. 60, no. 1, pp. 740–761, Jan. 2014
2014
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