Diversity Order Analysis of Bit-Interleaved Coded DPSK with Cyclic Delay Diversity

Cyclic delay diversity (CDD) exploits the principle of the orthogonal frequency division multiplexing (OFDM) that transforms the delay spread into the frequency selectivity. In order to investigate the performance of the CDD, OFDM in combination with bit-interleaved coded differential phase shift keying (DPSK) is theoretically analyzed in terms of pairwise error probability (PEP). We show that bit-interleaved coded DPSK with OFDM can achieve the full frequency diversity caused by the frequency selectivity of the wireless channel and that maximum diversity can be obtained with any kind of power delay profile (PDP), conditioned on the minimum free distance d_free of the convolutional codes. Based on the above discussions, the bit- interleaved coded DPSK with CDD is studied. Finally, theoretical results are confirmed via computer simulations.