Multiple Complex Symbol Golden Space-Time Labeling Diversity

The Golden code is a full-rate space-time block (STBC), which achieves diversity order of $2N_{r}$ , where $N_{r}$ the number receive antennas. multiple complex symbol (MCS-Golden code) generalized code. MCS-Golden not only but also $2^{n}{N_{r}}$ $n$ $n\ge {1}$ an integer, and $2^{n}$ symbols in system. In this paper, we apply labelling technique to form new type STBC, named as (MCS-GSTLD). proposed MCS-GSTLD $2\times {2^{n}}{N_{r}}$ further improves error performance compared We formulate theoretical average bit probability (ABEP) for Furthermore, sphere decoding with sorted detection subset (SD-SDS) detect transmitted Simulation results show that SD-SDS scheme ABEP $N_{r}>2$ . Both simulation demonstrate same spectral efficiency four antennas, 2CS-GSTLD at least 1.3 dB signal-to-noise ratio (SNR) gain 2CS-Golden BER $3\times {10^{-6}}$ while 4CS-GSTLD 0.7 SNR 4CS-Golden