Method and system for communicating data symbols in the network

Method and system to implement a radio communication with reliability in a non-coherent multiple-input multiple-output (MIMO) dual-selective channel. This method, the Grassmann space-time-frequency block code and iterative generalized likelihood ratio test (GLRT), multidimensional basis expansion model (BEM), determination reordering, and used with a fixed number of remaining candidates. Complexity of the non-coherent MIMO equalizer, is linear as a function of code length and modulation alphabet size. Codebook, the alphabet size, bit labeling, and the block power is optimized using the channel statistics or instantaneous channel condition if worst. This method uses the soft information feedback from the error correction code of a low density parity check code and the like, it is possible to improve the performance.