This paper defines a generalized family of shift-map codes that share a strong connection with redundant residue number systems (RRNS), and are henceforth called RRNS-map codes. These codes are useful in delay-limited scenarios and also provide better tolerance to deviations of the signal-to-noise ratio (SNR) from a target SNR, compared to separate source and channel coding. This coding scheme is ideally suited to applications where a simple and fixed encoding scheme is desired at the encoder, while the decoder is given access to side information about the source.Ībstract = "Shift-map codes have been studied as joint source-channel codes for continuous sources. As a result, RRNS-map codes achieve the same distortion in the mean square error sense as conventional shift-map codes without side information, but significantly outperform shift-map codes when side information is provided to the decoder. With an appropriately designed RRNS-map code, in this fraction of the codebook, the codewords are much better separated than the original codebook. In the proposed coding scheme, side information about the source allows the decoder to consider only a fraction of the codebook for decoding, with no change in the encoding process. Shift-map codes have been studied as joint source-channel codes for continuous sources.
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