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a_rate-distortion_perspective_on_multiple_decoding_attempts_for_reed-solomon_codes [2016/09/01 19:15] (current)
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 +=== A Rate-Distortion Perspective on Multiple Decoding Attempts for Reed-Solomon Codes===
 +
 +Henry Pfister\\
 +School of Engineering,​ Texas A&M\\
 +
 +*Monday*, May 24th, 2010\\
 +2:​00pm-3:​00pm\\
 +HED 116\\
 +
 +**Abstract:​** ​
 +Recently, a number of authors have proposed decoding schemes for
 +Reed-Solomon (RS) codes based on multiple trials of a simple RS
 +decoding algorithm. ​ In this paper, we design and analyze these
 +multiple-decoding algorithms using tools from rate-distortion (RD)
 +theory. ​ By defining an appropriate distortion measure between
 +(generalized) error patterns and (generalized) erasure patterns, one
 +finds that errors-and-erasures RS decoding succeeds if and only if
 +the distortion is less than a fixed threshold.
 +
 +Finding the best set of (generalized) erasure patterns turns out to be
 +a covering problem which is solved asymptotically by RD theory.
 +The Blahut-Arimoto algorithm is extended to handle independent
 +non-identical sources and used to find the optimal distribution for
 +the erasure-pattern codebook. ​ Simulation results show that this
 +approach outperforms previous approaches for a fixed number of
 +decoding trials.
 +
 +Since this approach is asymptotic in the block length, it does not
 +lead
 +to precise theoretical statements for any particular RS code.  An
 +extension, based on the rate-distortion exponent (RDE), allows one
 +to directly minimize the exponential decay rate of the error
 +probability.
 +The RDE method enables rigorous bounds on the error probability for
 +finite-length RS codes and modest performance gains are observed via
 +simulation. ​ In this case, the Arimoto algorithm is modified to handle
 +independent non-identical sources and used to find the optimal
 +codebook
 +distribution.
 +
 +This is joint work with Phong S. Nguyen and Krishna R. Narayanan.
 +
 +**Biography:​**
 +Henry was born in Redondo Beach, CA and enjoyed an unproductive
 +California youth playing volleyball and surfing.
 +
 +He received his Ph.D. in electrical engineering from UCSD in 2003
 +and he joined the faculty of the School of Engineering at Texas A&M
 +University in 2006.  Prior to that he spent two years in R&D at Qualcomm, Inc. and one year as a post-doc at EPFL.
 +
 +He received the NSF Career Award in 2008 and was a coauthor of the
 +2007 IEEE COMSOC best paper in Signal Processing and Coding for Data
 +Storage.
 +
 +His current research interests include information theory, channel
 +coding, and iterative decoding with applications in wireless communications
 +and data storage.
 +
 +
 +
 +Host: Alex Dimakis, dimakis [at] usc.edu
 +
 +Back to [[start | CommNetS Seminar Page ]]
a_rate-distortion_perspective_on_multiple_decoding_attempts_for_reed-solomon_codes.txt ยท Last modified: 2016/09/01 19:15 (external edit)