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In broadband wireless communication, high rate data transmission and multipath propagation results in frequency selectivity. On the other hand, high mobility contributes to time selectivity in fading channels. A finite parameter model which can be used for modeling doubly-selective channels is the Basis Expansion Model (BEM). In this model, channel is estimated based on some basis functions which are weighted by time-invariant coefficients during a time block. In this paper, Legendre Basis Expansion Model (LBEM) is discussed for doubly-selective fading channels and Oversampled Legendre Basis Expansion Model (OLBEM) is proposed.
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