In this paper, we describe a generalized lapped transform (GLT) based high-speed transmission technique for wireless mobile communications over Rayleigh fading channels. In this technique, the high-rate data bits are serial-to-parallel converted into low-rate data streams which are then modulated by the GLT based signature sequences. Numerical results show that the GLT based system gives better results than the Walsh code, PN concatenated sequence based system (Letaief et al., 1995).