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On the asymptotic behavior of recursive maximum likelihood estimation for symbol timing recovery over AWGN channels
Conference paper

On the asymptotic behavior of recursive maximum likelihood estimation for symbol timing recovery over AWGN channels

Chung-Chin Lu and Wen-Shan Wang
IEEE International Symposium on Information Theory - Proceedings, p.245
1997

Abstract

This paper investigates the asymptotic behavior of the recursive maximum likelihood estimation (RMLE) for timing recovery of PAM signals over AWGN channels. The convergence problem of the RMLE algorithm has been effectively reduced to the stability problem of stationary points of an associated deterministic ordinary differential equation (ODE). We have proved that the RMLE algorithm is consistent, i.e. the sequence of the timing estimates converges w.p.1 to the true value.

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