Abstract
This contribution proposes a new combination symbol mapper/8-ary constellation, which is a joint optimization of an 8-ary signal constellation and its symbol mapping operation, to improve the performance of Bit Interleaved Coded Modulation with Iterative Decoding (BICM-ID). The basic idea was to use the so called (1,7) constellation (which is a capacitive efficient constellation) instead of the conventional 8-PSK constellation and to choose the most suitable mapping for it. A comparative study between the combinations most suitable mapping/(1,7) constellation and SSP mapping/conventional 8-PSK constellation has been carried out. Simulation results showed that the 1st combination significantly outperforms the 2nd combination and with only 4 iterations, it gives better performance than the 2nd combination with 8 iterations. A gain of 4 dB is given by iteration 4 of the 1st combination compared to iteration 8 of the 2nd combination at a BER level equal to 10-5, and it (iteration 4 of the 1st combination) can attain a BER equal to 10-7 for, only, a SNR = 5.6 dB.
Highlights
A straightforward concatenation of a convolutional encoder and an M-ary modulator doesn’t provide the best performance
In [10] we found that Semi-Set Partitioning (SSP) is the suitable mapping for conventional 8-PSK constellation and for rectangular 8-QAM constellation [11,12]
In this paper we show that Bit Interleaved Coded Modulation with Iterative Decoding (BICM-ID), using a new proposed symbol mapper/8-ary constellation’s combination, can provide excellent performance compared to it using the well-known SSP mapping/conventional 8-PSK constellation’s combination
Summary
A straightforward concatenation of a convolutional encoder and an M-ary modulator doesn’t provide the best performance. The scheme proposed by Zehavi, called later in [3] Bit Interleaved Coded Modulation (BICM), achieves better performance than Ungerboeck’s TCM over Rayleigh fading channels. With a suitable design of the mapping function for a given constellation, BICM-ID can attain an excellent performance [7]. In this later reference, Gray, SP and SSP mappings were considered and a comparison of these labeling schemes for 8PSK constellation has been done. In this paper we show that BICM-ID, using a new proposed symbol mapper/8-ary constellation’s combination, can provide excellent performance compared to it using the well-known SSP mapping/conventional 8-PSK constellation’s combination. Appendix gives further simulation results on the performance of (1,7) constellation and its mappings
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