Bit-Interleaved Coded Modulation
Foundations and Trends in Communications and Information Theory
Low Complexity Soft Decision Technique for Gray Mapping Modulation
Wireless Personal Communications: An International Journal
Code-matched interleaver design over surrogate channels
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Malleable coding with edit-distance cost
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Classification of unique mappings for 8PSK based on bit-wise distance spectra
IEEE Transactions on Information Theory
Exploiting UEP in QAM-based BICM: interleaver and code design
IEEE Transactions on Communications
Unequal error protection in BICM with QAM constellations: interleaver and code design
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
IEEE Transactions on Communications
Effect of quantization and channel errors on collaborative spectrum sensing
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
A bit-labeling design for trellis-shaped single-carrier PSK with PAPR reduction
EURASIP Journal on Advances in Signal Processing - Special issue on advances in single carrier block modulation with frequency domain processing
Hi-index | 754.90 |
This paper concerns the problem of selecting a binary labeling for the signal constellation in M-PSK, M-PAM, and M-QAM communication systems. Gray labelings are discussed and the original work by Frank Gray is analyzed. As is noted, the number of distinct Gray labelings that result in different bit-error probability grows rapidly with increasing constellation size. By introducing a recursive Gray labeling construction method called expansion, the paper answers the natural question of what labeling, among all possible constellation labelings, will give the lowest possible average probability of bit errors for the considered constellations. Under certain assumptions on the channel, the answer is that the labeling proposed by Gray, the binary reflected Gray code, is the optimal labeling for all three constellations, which has, surprisingly, never been proved before.