Adaptive explicit time delay, frequency estimations in communications systems

Abstract

In this dissertation we address the problems of time delay estimation (TDE), frequency estimation (FE) in the presence of additive white noise. Also since the mobile radio channels are time-varying, adaptive signal processing is necessary. We have developed a new so-called mixed modulated Lagrange explicit time delay estimation (MMLETDE) algorithm using approximation techniques. Furthermore, we have also proved the convergence of the algorithm and derived the variance of the delay estimate. The MMLETDE can give an accurate and fast unbiased time delay estimate over a wide frequency range for single tone and narrow-band signal using a filter with a very low order. For the explicit adaptive frequency estimation, we first defined the cost function of the algorithm, and then designed the explicit modulated Lagrange adaptive frequency estimation algorithm (EMLAFE). We also proved the convergence of EMLAFE. Our new EMLAFE algorithm can give accurate and fast frequency estimation for stationary and non a??stationary signals.