Convergence analysis of turbo codes over half-duplex relay channel

In this paper, we propose a design of turbo code with good convergence behavior for the half-duplex relay channel. Our approach is based on the density evolution of extrinsic information of turbo decoders. We present an approach to calculate the decoding thresholds of turbo codes used in relay channel. We have searched for good turbo codes in fully interleaved Rayleigh fading channels and determined their convergence thresholds. Finally, we have presented some simulation results verifying our calculated convergence thresholds.