Generalized concatenated system with embedded space-time codes for MIMO systems

Multiple-input multiple-output systems are communication systems employing multiple transmitting and receiving antennas. In the present study, a new generalized concatenated signal-code construction is proposed. Its inner codes are embedded Golden codes, and its outer codes are products of Reed-Solomon codes. New algorithms for decoding inner codes, outer codes, and the generalized signal-code construction itself are proposed. The decoder for space-time Golden codes makes it possible to obtain a measure of reliability for certain symbols without an increase in the number of arithmetic operations. The decoder for outer product codes removes the "floor" on the error-probability curve. In addition, the lower bounds of decoding-error probability for the product-code iterative decoders have been obtained. The error-correcting capacity of the new decoder for the generalized concatenated construction is higher than that of the currently known decoders. A computer simulation has shown the efficiency of the proposed construction and decoding algorithms.