Time-delay estimation and its application in multipath environment

A hybrid algorithm combining the NLS estimator with penalty function proposed by Vaccaro and WRELAX algorithm proposed by Li is presented, where WRELAX algorithm and the NLS estimator with penalty function are used to obtain the initial estimates and the true values of the delays and the amplitudes of the superimposed signals,respectively. The methods for calculation of time-delay estimation using the correlation coefficient and for determining the number of effective multipath signals are also proposed. Numerical examples are provided to illustrate the performances of the hybrid algorithm. The experimental data of f=500-700 Hz linear frequency modulation (LFM) signals with large time-bandwidth-product 800 is emphatically discussed here. The results show that the reconstructed signal is similar to the received signal in correlation space.