Frequency domain processing for cyclic prefix-assisted multi-h CPM block transmission

In this paper, frequency domain processing techniques for multi-h continuous phase modulation (CPM) receivers are proposed. First, for frequency domain processing, cyclic prefix-assisted block transmission of multi-h M-ary CPM is investigated. When appending cyclic prefix data, phase control data are needed to guarantee phase continuity of multi-h M-ary CPM. Second, M-ary CPM receivers using discriminator and frequency domain processing are proposed. The proposed multi-level M-ary multi-h CPM receivers detect information data by using the discriminator and equalizing CPM phase signals in the frequency domain. In addition, decomposition-based frequency domain channel equalizers over multi-path fading channels and frequency domain differential phase decoders over additive white Gaussian noise environments are investigated. It is shown that the proposed receivers has lower computational complexity than conventional M-ary CPM receivers using decomposition-based correlators and maximum-likelihood sequence estimators, e.g., Viterbi algorithm. In addition, the numerical simulation results show that the proposed CPM receivers has comparable bit error rate performance with conventional and multi-h M-ary CPM receivers.