On the Structure of an SST Viterbi Decoder for General Rate (n-1)/n Convolutional Codes Viewed in the Light of Syndrome Decoding

Masato TAJIMA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E79-A   No.9   pp.1447-1449
Publication Date: 1996/09/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Coding Theory
convolutional code,  non-systematic code,  Viterbi decoding,  syndrome decoding,  SST Viterbi decoder,  

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The structure of an SST Viterbi decoder for general rate (n-1)/n convolutional codes is investigated in the light of syndrome decoding. Since the input to the main decoder is expressed as S(H-1)T (S: syndrome, H: dual encoder of G) for a general non-systematic convolutional code G if the inverse encoder G-1 is used as a pre-decoder, SST Viterbi decoding can be regarded as searching for the most likely error sequence through an extended syndrome trellis. We show that searching based on the extended syndrome trellis is equivalent to the original syndrome decoding by applying the invariant-factor theorem.