Low - Density Parity Check Codes for Fading Channelswith

We develop a belief-propagation-based joint decoding and channel state estimation algorithm for low-density parity check codes on fading channels with memory. The excellent empirical performance of LDPC codes on the AWGN channel and the possibility of arranging the code memory relative to the channel correlation suggests that LDPC codes have the potential to perform well on fading channels with memory. We treat the block fading channel, which models a frequency-hopped spread spectrum system. We present performance results for simple codes decoded using our algorithm and compare them with the performance of the belief propagation algorithm without channel state estimation and block-interleaved Reed-Solomon codes.