First-order Markov models for packet transmission on Rayleigh fading channels with DPSK/NCFSK modulation

Abstract

In this paper, we develop first-order Markov models that characterize the packet error processes on Rayleigh fading channels considering binary DPSK/NCFSK modulation. Such models available in the literature so far consider only the fading process ignoring the underlying modulation used. Our contribution in this paper is that we consider first-order Markov models for binary DPSK/NCFSK modulation. To derive the Markov model parameters, we first derive expressions for the second-order statistics of the channel error process (specifically, the auto-correlation function of the bit error process as well as the packet error process), and obtain the Markov model parameters, in closed-form, as a function of normalized Doppler bandwidth, average received SNR and packet length. We also verify the accuracy of the proposed Markov model by deriving closed-form expressions for the mutual information of the channel error process.