We investigate the application of semi-blind equalization principle in prac
tical wireless cellular systems. Specifically, we focus on the popular glob
al system for mobile (GSM) cellular receiver in an effort to improve system
efficiency without compromising performance. We begin by briefly introduci
ng a linear quadratic amplitude modulation (QAM) approximation for the Gaus
sian minimum shift keying (GMSK) signal used in GSM, which can be modeled a
s a single input two output discrete linear system model after sampling and
de-rotation (Ding and Li, IEEE J. Selected Areas Commun. 16 (October 1998)
1493-1505). We develop two different semi-blind algorithms based on the li
near system model by combining both second-order statistical (SOS) informat
ion and information from training. These semiblind methods can overcome som
e serious limitations of SOS blind algorithms. We also analyze the semi-bli
nd identifiability conditions. Finally, we compare simulation results for G
SM receivers using both pure training and semiblind channel identification
methods. (C) 2000 Elsevier Science B.V. Ail rights reserved.