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On row-by-row coding for 2-D Constraints

IEEE TRANSACTIONS ON INFORMATION THEORY 2009年第8期55卷 3565-3576页

作者： Tal, Ido Etzion, Tuvi Roth, Ron M. Univ Calif San Diego Ctr Magnet Recording Res La Jolla CA 92093 USA Technion Israel Inst Technol Dept Comp Sci IL-32000 Haifa Israel

A constant-rate encoder-decoder pair is presented for a fairly large family of two-dimensional (2-D) constraints. Encoding and decoding is done in a row-by-row manner, and is sliding-block decodable. Essentially, the 2-D constraint is turned into a set of independent and relatively simple one-dimensional (1-D) constraints;this is done by dividing the array into fixed-width vertical strips. Each row in the strip is seen as a symbol, and a graph presentation of the respective I-D constraint is constructed. The maxentropic stationary Markov chain on this graph is next considered: a perturbed version of the corresponding probability distribution on the edges of the graph is used in order to build an encoder which operates in parallel on the strips. This perturbation is found by means of a network flow, with upper and lower bounds on the flow through the edges. A key part of the encoder is an enumerative coder for constant-weight binary words. A fast realization of this coder is shown, using floating-point arithmetic.

关键词： Enumerative coding flow networks Kronecker product parallel encoding row-by-row coding runlength-limited (RLL) constraints two-dimensional (2-D) constraints

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On row-by-row coding for 2-D Constraints

On Row-by-Row Coding for 2-D Constraints

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IEEE International Symposium on Information Theory

作者： Tal, Ido Etzion, Tuvi Roth, Ron M. Univ Calif San Diego Ctr Magnet Recording Res La Jolla CA 92093 USA Technion Israel Inst Technol Dept Comp Sci IL-32000 Haifa Israel

ISBN: (纸本)1424405041

关键词： Enumerative coding flow networks Kronecker product parallel encoding row-by-row coding runlength-limited (RLL) constraints two-dimensional (2-D) constraints

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