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Two algorithms for soft-decision decoding of Reed-Solomon codes, with application to multilevel coded modulations
No full textIn this paper two symbol-level soft-decision decoding
algorithms for Reed-Solomon codes, derived form the
Ordered Statistics (OS) and from the Generalized Minimum-
Distance (GMD) decoding methods, are presented and analyzed.
Both the OS and the GMD algorithms are based on the idea of
producing a list of candidate code words, among which the one
having the larger likelihood is selected as output. We propose
variants of the mentioned algorithms that allow to finely tune
the size of the list in order to obtain the desired decoding
complexity. The method proposed by Agrawal and Vardy for
computing the error probability of the GMD algorithm is extended
to our decoding methods. Examples are presented where
these algorithms are applied to singly-extended Reed-Solomon
codes over GF(16) used as outer codes in a 128-dimensional
coded modulation scheme that attains good performance, with
manageable decoding complexity
Computing Upper Bounds to Error Probability of Soft-Decision Decoding of Reed-Solomon Codes Based on the Ordered Statistics Algorithm
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Analysis implementation and application of an ordered statistics decoder for the seRS(16,14) code
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System and method for carrier recovery whereby the carrier frequency is a multiple of the clock frequency
No full textLocking the carrier frequency to the clock frequency one can recover the carrier from the cloc
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