Testing radio communication systems in the field is time consuming and expensive since it is subject to uncontrollable phenomena, such as weather, time and test environment. Therefore, radio channel simulators are commonly used in the laboratory to allow less expensive and more repeatable system tests. In this thesis, we introduce a simulation model for Rayleigh fading channels based on the Basis Expansion Model (BEM). It exhibits first and second order statistics of Rayleigh fading channels closely, and in addition, it can be used for simulating channels with different power spectral densities. BEM may be used to represent each tap of time varying multipath channel with a linear combination of a finite number of basis functio hence it is widely used in the estimation and equalization of doubly selective channels. Existing works make use of a symbol by symbol routine to estimate the expansion coefficients describing the channel within each OFDM symbol. Here, in order to reduce the number of iterations in estimation process, we propose a K -symbol by K -symbol approach which exploits an extrapolation technique based on BEM to predict Channel Impulse Response over the next K-1 OFDM symbols. This method provides faster data processing with less iteration in the estimation process, thus increasing bandwidth efficiency.