Abstract

This paper is intended to predict the performance of turbo-codes by analytical means. After a brief description of turbo-codes, the concept of basic return-to-zero (rtz) sequences is introduced. Then, it is shown how rtz sequences can be used to compute the Hamming distance spectrum (uds) via a modified version of the Fano algorithm. The hds thus obtained is used to compute an upper bound on the bit error rate. Distance spectra of selected turbo-codes with short interleaving are presented and the validity of their performance prediction is confirmed by simulation (only provisional results are given here). Besides, a class of low-performance turbocodes, referred to as weak, is identified.

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