New Method to Generate Balanced 2^n-PSK STTCs

The first theoretical bases of the space-time trellis codes (STTCs) have been established by Tarokh (1998). Many STTCs have been published using several criteria proposed by Tarokh (1998) and Chen (2001) for slow and fast Rayleigh fading channels. More recently, a new class of codes called balanced codes, which contains all the best STTCs has been presented by Ngo (2007, 2008). These balanced codes have the same property: if the data are generated by a binary memoryless source with equally probable symbols, the used points of the MIMO constellation are generated with the same probability. Therefore, the systematic search for the best codes can be reduced to this class. Thus, the time to find the best codes is reduced. The new and general method is proposed to design balanced 2^n-PSK STTCs for several transmit antennas. This new method is simpler and faster than the previous one presented by Ngo 2007 in particular when the number of transmit antennas and n increase