Time delay estimation based on bandpass sampling theorem and bisection searching

A new time delay estimation (TDE) method of sub-sample accuracy is presented in this paper. Firstly, the sampled signal is interpolated and the time-continuous signal is constructed by band-pass reconstruction theory. In this way, direct correlation or other statistic function of any time shift can be obtained using the time-continuous signal. Then, the bisection iteration is used to search the best fitted time shift, which is also the estimation of time delay. Theoretical analysis shows that the calculation burden of the new method is acceptable and simulation results indicate that the proposed method is effective and performs a higher estimation accuracy than conventional methods.