Information rates of pre/post-filtered dithered quantizers

  • Authors:
  • R. Zamir;M. Feder

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We consider encoding of a source with pre-specified second-order statistics, but otherwise arbitrary, by entropy-coded dithered (lattice) quantization (ECDQ) incorporating linear pre- and post-filters. In the design and analysis of this scheme we utilize the equivalent additive-noise channel model of the ECDQ. For Gaussian sources and a square error distortion measure, the coding performance of the pre/post filtered ECDQ approaches the rate-distortion function, as the dimension of the (optimal) lattice quantizer becomes large; actually, in this case the proposed coding scheme simulates the optimal forward channel realization of the rate-distortion function. For non-Gaussian sources and finite-dimensional lattice quantizers, the coding rate exceeds the rate-distortion function by at most the sum of two terms: the “information divergence of the source from Gaussianity” and the “information divergence of the quantization noise from Gaussianity”. Additional bounds on the excess rate of the scheme from the rate-distortion function are also provided