Optimal labeling searching based on classification of unique mapping for BICM-ID with 8-APSK

Powerline Communication is promising but problems caused by bad channel responses arise the question of robust coded modulation scheme. The model of BICM-ID system can be adopted to PLC network and used for performance analysis. To achieve optimal labeling search, a new and simplified criterion - Hamming-Euclidean Distance Spectra - is proposed to obtain the classification of unique mappings. 8-PSK in previous works will be investigated as an example to illustrate the effectiveness of this criterion, and the number of unique mappings can be cut down considerably from 40320(=8!) to only 70. This paper mainly focuses on the BICM-ID system with 8-APSK, where the input is more Gaussian-like than that of 8-PSK, therefore non-negligible shaping gain can be expected. For 8-APSK, the number of unique mappings is cut down to only 92. With this small set of unique mappings, it is possible to traverse all the labelings and optimal labeling can be obtained. As an example, the design of BICM-ID systems with 8-APSK is accomplished with the aid of EXIT charts. The results outperform the previous schemes and we hope this improvements would be considered in the standardization of PLC.