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This article focuses on non-binary wireless transmission, where "non-binary" refers to the use of non-binary Low Density Parity Check (LDPC) codes for Forward Error Correction.
Two OFDM-DCC examples are presented, one based on non-binary low density parity check (LDPC) codes applied across OFDM blocks, and other using inter block erasure correction codes.
More recently, the European FP7 DAVINCI project [4] has explored the design of innovative non-binary Low Density Parity Check (LDPC) codes with tailored link level technologies over wireless fading channels, whilst aiming at small added complexity to conventional binary receivers.
Among the most attractive options emerged till now, a prominent role is played by convolutional codes (CC), short binary low-density parity-check (LDPC) codes, parallel turbo codes (PTCs) and extended Bose-Chaudhuri-Hocquenghem (eBCH) code with soft-decision decoding [9].
Non-binary low-density parity check codes.
Symbol flipping-based hard decision decoding for non-binary low-density parity check (LDPC) codes has attracted much attention due to low decoding complexity even though the error performance of the symbol flipping decoder is inferior to that of the soft decision decoders.
The Fourier Transform Sum-Product Algorithm (FT-SPA) used in non-binary Low-Density Parity-Check (LDPC) decoding makes extensive use of the Walsh Hadamard Transform (WHT).
This paper mainly studies the association between non-binary low-density parity-check codes and high-order partial response continuous phase modulation, which prevents information loss in the mutual conversion of bit and symbol probabilities.
His 1960 Sc.D. thesis, entitled "Low Density Parity Check Codes," was published by the M.I.T. Press in 1963.
This chapter discusses various approaches for practical implementation of low density parity check (LDPC) decoders.
The decoders use the low-complexity low density parity check (LDPC) algorithms and flexible parity check matrices presented in the previous chapters.
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