This paper derives soft decision metrics for syndrome decoding of convolutional codes. It is shown that, given a received sequence Z, syndrome decoding of convolutional codes can be seen as the problem of finding error sequence E. This sequence may be a possible cause of the syndrome sequence computed from Z and for which the joint probability F(Z, E) is maximum. Then the soft decision metrics are derived by actually evaluating the probability p(Z, E). In particular, a concrete representation of the symbol me…
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