Analytical computation of the error probability of (G)MSK with adaptive sampling in mobile radio channels

Abstract

AbstractWe extend the analytical computation of the error probability of (Gauss‐filtered) Minimum Shift Keying (G)MSK with adaptive determination of the sampling time in mobile radio channels. We present a new method that allows to include i) an N‐path fading channel (with ST, where S is the rms delay spread, and T” the bit length) and ii) noise. We show that the errors due to ISI go like K (SIT)2, where the proportionality constant K depends on the Gaussian filtering, the receiver filtering, and the sampling time. The chosen sampling instants for large group delays depend on the signal‐to‐noise ratios: for low SNR, sampling times near the average mean delay are optimum, while at high SNR, sampling times that are shifted by approximately T/2 are optimum.