Optimal puncturing ratios and energy allocation for multiple parallel concatenated codes
IEEE Transactions on Information Theory
Design of repeat-accumulate codes for iterative detection and decoding
IEEE Transactions on Signal Processing
Analysis and design of symbol mappers for iteratively decoded BICM
IEEE Transactions on Wireless Communications
Serial concatenation of interleaved codes: performance analysis, design, and iterative decoding
IEEE Transactions on Information Theory
Bit-interleaved coded modulation
IEEE Transactions on Information Theory
Multilevel codes: theoretical concepts and practical design rules
IEEE Transactions on Information Theory
Signal constellations for bit-interleaved coded modulation
IEEE Transactions on Information Theory
Extrinsic information transfer functions: model and erasure channel properties
IEEE Transactions on Information Theory
On the optimality of the binary reflected Gray code
IEEE Transactions on Information Theory
Convergence Analysis and Optimal Scheduling for Multiple Concatenated Codes
IEEE Transactions on Information Theory
Trellis-coded modulation with bit interleaving and iterative decoding
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Achieving near-capacity performance on multiple-antenna channels with a simple concatenation scheme
IEEE Transactions on Communications
Hi-index | 754.85 |
The performance of bit-interleaved coded modulation (BICM) with (or without) iterative decoding (ID) is significantly influenced by the mapping of bits to the symbol constellation. Our main objective in this paper is to develop a systematic design approach for BICM-ID schemes, ensuring the best possible performance with iterative decoding. Although useful mappings for BICM-ID have been found based on various search strategies, no attempt has been made to systematically enumerate and classify all unique mappers for a given constellation. As the basis for a systematic enumeration and classification, we define the average bit-wise distance spectrum for a mapping from bits to symbols. Different bit-wise distance spectra are derived assuming no prior information or full prior information, respectively. The bitwise distance spectra determine corresponding bit-wise error probability and bit-wise mutual information. The latter allows us to use the classification of mappings with unique bit-wise distance spectra to also classify mappings with unique extremal points in the corresponding extrinsic information transfer (EXIT) curves. As an example of our approach, we classify 8PSK mappings into 86 classes of unique mappings according to bit-wise distance spectra. The classification can be used to significantly reduce the complexity of the search for suitable mappers for BICM-ID. For 8PSK and a given encoder, only 86 different mappings need to be investigated. As examples of the systematic design approach, the best 8PSK mappings for minimizing the convergence threshold are found for concatenation with the rate 1/2 (5, 7)8 and (133,171)8 convolutional codes, and the rate 1/2 UMTS turbo code with identical constituent convolutional codes (15/13)8.