A wavelet-based algorithm for time delay and Doppler measurements

This paper presents a wavelet-based algorithm for time delay estimation, specifically for linearly moving time delay estimation. The wideband cross ambiguity function (WBCAF) of the received signals at two spatially separated sensors is obtained by taking their cross wavelet transform. The global maximum of the WBCAF is then located which gives a direct measurement of the time delay and Doppler compression. The performance of the estimation algorithm is analysed, and the mean values together with the variances of the estimates are derived. Simulation results are provided to illustrate the potential of the method. The major disadvantage of the algorithm is its excessive computation complexity