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Classification of 8PSK Mappings for BICM

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Executive Summary

The performance of bit-interleaved coded modulation with iterative decoding is significantly influenced by the mapping of bits to the symbol constellation. A range of mappers have been suggested in the literature, however, no attempt has been made to systematically enumerate all unique mappers for a given signal constellation. In this paper, the authors classify 8PSK mappers based on bit-wise distance spectra for no prior information, and full prior information, respectively. Bit-Interleaved Coded Modulation (BICM) with Iterative Decoding (BICM-ID) was suggested with hard-decision feedback and with soft-decision feedback. The performance for both BICM and BICM-ID is significantly influenced by the mapping of bits to the symbol constellation.

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