Detection, Receivers, and Performance of CPFSK and CPCK

Continuous Phase Modulation (CPM) is a power/bandwidth efficient signaling technique for data transmission. In this thesis, two subclasses of this modulation called Continuous Phase Frequency Shift Keying (CPFSK) and Continuous Phase Chirp Keying (CPCK) are considered and their descriptions and properties are discussed in detail and several illustrations are given. Bayesian Maximum Likelihood Ratio Test (MLRT) is designed for detection of CPFSK and CPCK in AWGN channel. Based on this test, an optimum receiver structure, that minimizes the total probability of error, is obtained. Using high- and low-SNR approximations in the Bayesian test, two receivers, whose performances are analytically easy-to-evaluate relative to the optimum receiver, are identified. Next, a Maximum Likelihood Sequence Detection (MLSD) technique for CPFSK and CPCK is considered and a simplified and easy-to-understand structure of the receiver is presented. Finally, a novel Decision Aided Receiver (DAR) for detection of CPFSK and CPCK is presented and closed-form expressions for its Bits Error Rate (BER) performance are derived. Throughout the thesis, performances of the receivers are presented in terms of probability of error as a function of Signal-to-Noise Ratio (SNR), modulation parameters and number of observation intervals of the received waveform. Analytical results wherever possible and, in general, simulation results are presented. An analysis of numerical results is given from the viewpoint of the ability of CPFSK and CPCK to operate over AWGN Channel