Performance analysis of a wavelet based WBCAF method for time delay and Doppler stretch estimation

A wavelet based method for time delay and Doppler stretch estimation has been proposed. It makes use of the relationship between the wideband cross ambiguity function (WBCAF) and the cross wavelet transform of the received signals. This paper derives the Cramer-Rao lower bound (CRLB) and analyses the performance of the algorithm. It is found that under high SNR, the method is asymptotically unbiased, and the variances of the estimation parameters are fairly close to the CRLB. Simulation results are given to corroborate the theoretical derivation.