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In this paper, the estimation of doubly selective channel is considered for Amplify-and-Forward (AF) relay networks. The Complex Exponential Basis Expansion Model (CEBEM) is chosen to describe the time-varying channel, from which the infinite channel parameters are mapped onto finite ones. Since direct estimation of these coefficients encounters high computational complexity and large spectral cost, the authors develop an efficient estimator targeting at some specially defined channel parameters. The training sequence design that can minimize the channel estimation mean-square error is also proposed.
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