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Irregular Repeat Accumulate (IRA) codes are a special class Of Low-Density Parity-Check (LDPC) codes which perform very close to capacity for memory-less channels with coherent detection. Further, they can be encoded and decoded in linear-time. This paper considers the design of a non-coherent Orthogonal Frequency-Division Multiplexing (OFDM) system for block frequency-selective fading channels with non-systematic IRA codes where the receiver performs iterative channel estimation and decoding. Non-systematic IRA codes are optimized for the given system and it is shown to perform within a few tenths of a dB from the coherent receiver with the same channel parameters. The proposed scheme is shown to be robust to change in the number of channel taps and Doppler.

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