New Accurate Approximation for Average Error Probability Under κ-μ Shadowed Fading Channel (original) (raw)

This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either M -phase-shift keying (PSK) or differential quaternary PSK with Gray coding(GC-DQPSK) modulation schemes over κ − μ shadowed fading channel. Firstly, new accurate approximations of error probability (EP) of both modulation schemes are derived over additive white Gaussian noise (AWGN) channel. Leveraging the trapezoidal integral method, a tight approximate expression of symbol error probability for M -PSK modulation is presented, while new upper and lower bounds for Marcum Q-function of the first order (MQF), and subsequently those for bit error probability (BER) under DQPSK scheme, are proposed. Next, these bounds are linearly combined to propose a highly refined and accurate BER’s approximation. The key idea manifested in the decrease property of modified Bessel function Iv , strongly related to MQF, with its argument v. Finally, theses approximations are u...