Turbo Codes: Error-Correcting Codes of Widening Application by Michel Jezequel, Ramesh Pyndiah

By Michel Jezequel, Ramesh Pyndiah

3 best parts of data approximately rapid codes, a brand new kind of correction code, are tested: the development of concatenated codes and their homes, the issues of deciphering, and the extension of rapid codes to different functions.

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J), Jr, "New Classes of Algebraie Interleavers for Turbo Codes", Proc. ISIT98, MA, USA, Aug. 1998, pp. 419. ), "Algebraie and combinatorial methods producing good interleavers", Proc. 2nd Inter. Symp. on Turbo Codes & Related Topics, Brest, France, Sep. 2000, pp. 271-274. ), "Construction and Performance of New Tail-Biting Turbo Codes", 6th International Workshop on Digital Signal Processing Techniques for Space Applications (DSP'98), Estec, Noordwijk, The Netherlands, Sept. 3. ), "interleaver design for turbo coding", Proc.

Therefore, the shape of the L-value distributions of A1 will be different from GGD. Using methods of curve fitting, we determined the best choice of α , β to approximate the shapes of the actual extrinsic output distributions pEl of Section VIII-A. Tab. V shows the result of the curve fitting which sought to minimize the Eucledean distance (mean squared error) between actual measured distribution and generated L-value distribution. We found that curve fitting applying minimization of cross-entropy between both distributions yields very much the same results.

26 Turbo codes Figure 5. BER performance of the 16-state, rate 1/3, (1, 33/31) turbo code with S-random and cyclic shift interleavers on an AWGN channel, N = 4096. cyclic shift interleaver with B = 1. However, increasing the value of B for the cyclic shift interleaver improves the code performance. For mterleaver size 1024, the cyclic shift interleaver with m = 16 and B = 2 outperforms the 5-random interleaver with S=15. For interleaver size 4 096, the constraint S was 31 and parameters m and B were 32 and 1, respectively.

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