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We propose combining irregular repeat accumulate (IRA) codes with continuous phase modulation (CPM) and call this irregular repeat CPM (IRCPM). In this scheme, CPM is used as the accumulator of IRA codes to explore its built-in phase accumulate property. A property of the degree-1 check node (doping node) ratio is investigated. We use the EXIT chart/function method to optimize the degree profile. We also provide the EXIT function for CPM when the SNR (Signal-to-noise ratio) is fixed. Numerical results show that this scheme converges up to 0.49 dB earlier (lower SNR) than the best found serially concatenated CPM (SCCPM).
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Xiao et al. (2005) studied this question.
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