Rényi Information Dimension: Fundamental Limits of Almost Lossless Analog Compression

Abstract

In Shannon theory, lossless source coding deals with the optimal compression of discrete sources. Compressed sensing is a lossless coding strategy for analog sources by means of multiplication by real-valued matrices. In this paper we study almost lossless analog compression for analog memoryless sources in an information-theoretic framework, in which the… (More)
DOI: 10.1109/TIT.2010.2050803

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