SIMD implementation of interpolation in algebraic soft-decision Reed-Solomon decoding

The Koetter-Vardy algorithm is an algebraic soft-decision decoding algorithm for Reed-Solomon codes. Software implementations of the Koetter-Vardy algorithm are considered as part of a redecoding architecture that augments a hardware hard-decision decoder with soft-decision decoding software on an e...

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Veröffentlicht in:IEEE Workshop on Signal Processing Systems Design and Implementation, 2005 S. 750 - 755
Hauptverfasser: Boulianne, L., Gross, W.J.
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 2005
Schlagworte:
Computer architecture
Decoding
Digital signal processing
Embedded software
Galois fields
Interpolation
Polynomials
Reed-Solomon codes
Software algorithms
Very large scale integration
ISBN:9780780393332, 0780393333
ISSN:2162-3562
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Abstract The Koetter-Vardy algorithm is an algebraic soft-decision decoding algorithm for Reed-Solomon codes. Software implementations of the Koetter-Vardy algorithm are considered as part of a redecoding architecture that augments a hardware hard-decision decoder with soft-decision decoding software on an embedded processor. In this paper we investigate the implementation of the interpolation step of the Koetter-Vardy algorithm on SIMD processor architectures. A parallelization of the algorithm is given using the K'th order Horner's rule for parallel polynomial evaluation. The SIMD algorithm has a running time 2.5 to 4 times faster than a serial implementation on a DSP processor. To gain further speedup we propose a merged-SIMD architecture that calculates the Hasse derivative in parallel with the polynomial updates.
AbstractList The Koetter-Vardy algorithm is an algebraic soft-decision decoding algorithm for Reed-Solomon codes. Software implementations of the Koetter-Vardy algorithm are considered as part of a redecoding architecture that augments a hardware hard-decision decoder with soft-decision decoding software on an embedded processor. In this paper we investigate the implementation of the interpolation step of the Koetter-Vardy algorithm on SIMD processor architectures. A parallelization of the algorithm is given using the K'th order Horner's rule for parallel polynomial evaluation. The SIMD algorithm has a running time 2.5 to 4 times faster than a serial implementation on a DSP processor. To gain further speedup we propose a merged-SIMD architecture that calculates the Hasse derivative in parallel with the polynomial updates.
Author Gross, W.J.
Boulianne, L.
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  givenname: W.J.
  surname: Gross
  fullname: Gross, W.J.
  organization: Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada
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Snippet The Koetter-Vardy algorithm is an algebraic soft-decision decoding algorithm for Reed-Solomon codes. Software implementations of the Koetter-Vardy algorithm...
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StartPage 750
SubjectTerms Computer architecture
Decoding
Digital signal processing
Embedded software
Galois fields
Interpolation
Polynomials
Reed-Solomon codes
Software algorithms
Very large scale integration
Title SIMD implementation of interpolation in algebraic soft-decision Reed-Solomon decoding
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