A fast design for LDPC matrices

Lei Cao, Thanh Dang Nguyen · 2012

In this paper, we designed fast structure generator and parity check matrices of Low Density Parity Check (LDPC) codes using a random degree distribution termed as the standard stationary random degree distribution. The achievable Bit Error Ratio (BER) performance of designed codes is improved with the aid of the novel designed matrices. For example, the designed 1/3-rate LDPC(1200,3600) code attains BER ≤ 10-5in excess of an Eb/N0value of 1.5dB for transmission over the AWGN channel and above 3.5 dB over the uncorrelated Rayleigh channel when using Quadrature Phase-Shift Keying (QPSK) modulation and a maximum of I=20 decoding iterations.

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