Design and Analysis of Root-Protograph LDPC Codes for Non-Ergodic Block-Fading Channels


We have a tendency to investigate the performance of the protograph low-density parity-check (LDPC) codes over Nakagami block-fading (BF) channels with multiple receive antennas. Using the modified protograph extrinsic information transfer (PEXIT) algorithm, we have a tendency to observe that the present protograph LDPC codes, that are shown to possess glorious error performance over additive white Gaussian noise channels, cannot perform well over non-ergodic BF channels. To deal with this drawback, a straightforward style scheme is proposed to construct three new root-protograph (RP) LDPC codes, i.e., the regular RP code, the improved RP1 (IRP1) code, and also the IRP2 code. The convergence analysis, error-performance analysis, and simulated results show that the 3 proposed RP codes outperform the present protograph LDPC codes and regular quasi-cyclic LDPC code. Furthermore, the IRP1 code and the IRP2 code are superior to the regular RP code and also the regular root-LDPC code and exhibit outage-limit-approaching error performance. Consequently, these two proposed IRP codes seem to be better alternatives as compared to alternative error-correction codes for slowly-varying wireless communication systems.

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