Viterbi decoding of the (63, 57) Hamming code-implementation and performance results

Viterbi decoding of the (63, 57) Hamming code-implementation and performance results

Use of the Viterbi decoder to decode the (63, 57) Hamming code is considered, Implementation and performance of systematic and nonsystematic codes are addressed. It is shown that a Viterbi decoder for the constraint length seven, rate- 1/2 convolutional code can be used to decode both systematic and...

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Veröffentlicht in:IEEE transactions on communications 1995-11, Vol.43 (11), p.2653-2656
Hauptverfasser: Michelson, A.M., Freeman, D.F.
Format: Artikel
Sprache:eng
Schlagworte:
Block codes
Circuits
Convolutional codes
Decoding
Encoding
Military communication
Performance gain
Societies
Tail
Viterbi algorithm
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Zusammenfassung:Use of the Viterbi decoder to decode the (63, 57) Hamming code is considered, Implementation and performance of systematic and nonsystematic codes are addressed. It is shown that a Viterbi decoder for the constraint length seven, rate- 1/2 convolutional code can be used to decode both systematic and nonsystematic (63, 57) Hamming codes, but an additional step is needed to complete the decoding of the systematic code. Bounds and simulation results for postdecoding bit-error probability are given and it is shown that the systematic code performs 0.4 dB better than the nonsystematic code. A heuristic explanation is provided.
ISSN:0090-6778
1558-0857
DOI:10.1109/26.481213