Abstract
Designing an efficient digital communication system requires trade-offs among Spectral Efficiency (SE), Energy Efficiency (EE), and system complexity. In this paper, these metrics are analyzed for an M-ary Continuous Phase Frequency Shift Keying (M-CPFSK) system based on average mutual information and normalized bandwidth of the system. The analysis is presented for arbitrary value of modulation index h (0<h⩽1), number of frequency tones M, and observation length nTs of the receiver. The efficiency metrics are evaluated for Nakagami-m and Generalized-K (GK) channels corrupted by Additive White Gaussian Noise (AWGN). The bounds on SE and EE for these channels are derived and illustrated. Results show that the efficiency metrics are negatively impacted by fading and shadowing characteristics of channel. An increase in observation length of receiver for M-CPFSK can be used to improve SE and EE of the system. It is observed that increasing the observation length of the receiver although improves the energy efficiency metric, even when channel effects are severe, it will be at the cost of increased system complexity. The effects of system parameters on efficiency metrics are examined and it is shown that while M-CPFSK offers better EE as the modulation index h approaches unity, it increases the system bandwidth. SE and EE metrics as a function of M-CPFSK system parameters are examined and discussed.
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