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

Author

Lu, Chung-Chin ; Wang, Wen-Shan

Author_Institution

Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan

fYear

1997

fDate

29 Jun-4 Jul 1997

Firstpage

245

Abstract

This paper investigates the asymptotic behavior of 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

Keywords

Gaussian channels; differential equations; maximum likelihood estimation; numerical stability; pulse amplitude modulation; recursive estimation; synchronisation; AWGN channels; ODE; PAM signals; RMLE; asymptotic behavior; convergence problem; deterministic ordinary differential equation; recursive maximum likelihood estimation; sequence; stability problem; stationary points; symbol timing recovery; timing estimates; AWGN channels; Approximation algorithms; Convergence; Differential equations; Maximum likelihood estimation; Pulse shaping methods; Recursive estimation; Stability; Stochastic processes; Timing;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on

Conference_Location

Ulm

Print_ISBN

0-7803-3956-8

Type

conf

DOI

10.1109/ISIT.1997.613160

Filename

613160