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Bit Error Rate of Large Girth QC-LDPC Codes Over Flat Rayleigh Fading Channels

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Executive Summary

Low Density Parity Check codes (Gallager, 1963) have acquired considerable attention due to its near-capacity error execution and powerful channel coding technique with an adequately long codeword length. The performance of LDPC codes has been investigated by Berrou et al. (1993) and Mackay (1999), at many events of interests and encountered to outperform turbo codes. The potency of LDPC codes is outclass over the Additive White Gaussian Noise (AWGN) channel, where coherent detection employing Phase Shift Keying (PSK) can be carried out with carrier phase estimation. Precise phase tracking and high-quality estimation of Channel State Information (CSI) is required for the appropriate execution of coherent detection.

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