Title :
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
fDate :
29 Jun-4 Jul 1997
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;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613160
