Design of serially-concatenated LDGM coded MIMO systems

Abstract

Serially-Concatenated Low-Density Generator Matrix (SCLDGM) codes are an attractive scheme to approach the capacity of Single Input Single Output (SISO) channels due to the low computational cost of the encoding and decoding procedures. In this paper we investigate the design of SCLDGM codes for the spatial multiplexing over Multiple Input Multiple Output (MIMO) wireless communication channels. SCLDGM codes are constructed using an optimization procedure based on tracking the decoding behaviour of the Sum-Product Algorithm (SPA) using EXtrinsic Information Transfer (EXIT) functions. We present results for different antenna configurations, showing that the optimized SCLDGM codes exhibit better performance than standard Low Density Parity Check (LDPC) codes with similar encoding complexity.