Gaussian source coding with spherical codes

J. Hamkins, K. Zeger
<span title="">2002</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
A fixed-rate shape-gain quantizer for the memoryless Gaussian source is proposed. The shape quantizer is constructed from wrapped spherical codes that map a sphere packing in 1 onto a sphere in , and the gain codebook is a globally optimal scalar quantizer. A wrapped Leech lattice shape quantizer is used to demonstrate a signal-to-quantization-noise ratio within 1 dB of the distortion-rate function for rates above 1 bit per sample, and an improvement over existing techniques of similar
more &raquo; ... y. An asymptotic analysis of the tradeoff between gain quantization and shape quantization is also given. Index Terms-Data compression, Gaussian source, lattice coding, vector quantization.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1109/tit.2002.804056</a> <a target="_blank" rel="external noopener" href="">fatcat:jk73np23bvbnhgnxr72jgbfmfu</a> </span>
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