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A logarithmic upper bound on the minimum distance of turbo codes

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1 Author(s)
M. Breiling ; Lehrstuhl fur Nachrichtentechnik, Univ. Erlangen-Nurnberg, Erlangen, Germany

We derive new upper bounds on the minimum distance, which turbo codes can maximally attain with the optimum interleaver of a given length. The new bounds grow approximately logarithmically with the interleaver length, and they are tighter than all previously derived bounds for medium-length and long interleavers. An extensive discussion highlights the impacts of the new bounds in the context of interleaver design and provides some new design guidelines.

Published in:

IEEE Transactions on Information Theory  (Volume:50 ,  Issue: 8 )