Design of Protograph LDPC Codes Using Resolvable Block Designs for Block Fading Channel

Abstract

In this letter, we propose new protograph low-density parity-check (LDPC) codes of high code rates using resolvable block designs (RBDs) for block fading (BF) channels. To analyze the performance of the proposed LDPC codes, we derive an upper bound on bit error rate (BER) using the novel method, called the gamma evolution. Finally, we numerically show that the frame error rate (FER) of the proposed LDPC codes has a slope approaching the channel outage probability.