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Training sequence design for frequency offset and frequency-selective channel estimation

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2 Author(s)
Stoica, Petre ; Dept. of Syst. & Control, Uppsala Univ., Sweden ; Besson, O.

We consider the problem of data-aided frequency-offset and channel estimation in the case of frequency-selective channels. More precisely, we address the problem of training sequence selection with the goal of providing accurate frequency offset and channel estimates. Toward this end, we consider the Crame´r-Rao bound (CRB), for which we derive a closed-form expression. Since the CRB is a complicated function of the training sequence and the channel parameters, a much simpler asymptotic CRB is derived. Two criteria for training sequence design based on the asymptotic CRB are proposed, and a minmax approach is presented to optimize them. Our main contribution is to show that a white sequence is minmax optimal for both criteria considered, and that the quest for a generally optimal sequence is hardly motivated.

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Communications, IEEE Transactions on  (Volume:51 ,  Issue: 11 )