Turbo equalization for waveforms encoded by Reed Solomon codes

Turbo equalization is an iterative approach to perform joint equalization and decoding of data, which is protected by error correction code and transmitted over intersymbol interference (ISI) channels. Turbo equalization for Reed Solomon (RS) code, which is a popular error-correction code in wireless communication and recording systems, is seldom discussed in the literature. In this paper, we investigate the computational complexity and performance of turbo equalization which exploits three different kinds of equalization algorithms, i.e., BCJR, M-BCJR and linear minimum mean square error (LMMSE) algorithms. An adaptive belief propagation (ABP) algorithm is used for the decoding of RS code. Simulation results show that, the complexities of the LMMSE and M-BCJR based equalizers are much lower than that of the BCJR based equalizer, and at the same time the performance loss is still acceptable.