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On the weight distribution of terminated convolutional codes

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3 Author(s)
Fossorier, M.P.C. ; Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA ; Shu Lin ; Costello, D.J., Jr.

In this correspondence, the low-weight terms of the weight distribution of the block code obtained by terminating a convolutional code after x information blocks are expressed as a function of x. It is shown that this function is linear in x for codes with noncatastrophic encoders, but quadratic in x for codes with catastrophic encoders. These results are useful to explain the poor performance of convolutional codes with a catastrophic encoder at low-to-medium signal-to-noise ratios.

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 5 )