Bit error probability performance bounds of CPFSK over fading channels

Closed-form bit error probability performance bounds for Continuous Phase Frequency Shift Keying (CPFSK) signalling over Rayleigh, Nakagami-m and Generalized-K (K_G) fading channels are derived. These bounds are illustrated as a function of energy per bit to noise ratio, E_b/N_o, channel fading parameters, observation length, n, of the receiver, and modulation index, h. Multiple-bit-observation receiver that is the optimum at high values of Signal-to-Noise Ratio (SNR) is assumed for detection of CPFSK signals in Additive White Gaussian Noise (AWGN). The impact of fading and shadowing on the performance of this receiver is examined in terms of power penalty required to achieve target bit error probability, and as a function of fading parameters c and m.