Ambiguity function of non-stationary signals using wavelet transform

In this paper, a relation is presented for calculation of non-stationary signals ambiguity function. In order to implementation of matched filter in a radar system with an environment contaminated with noise, wavelet transform usage is proposed. Also, a model is presented for declaration of non-stationary reflected Doppler signal. In the same direction, effects of frequency changes of reflected Doppler are studied through the application of relation, as offered for ambiguity function of non-stationary signals. In continuation, a comparison is made between performances of using time correlation, Fourier and wavelet transforms in noise conditions and facing with non-stationery signals with the aim of signal detection. Eventually, the presented model is evaluated for various SNRs. Also a range of different Doppler frequency changes for a numerous repetition number by a 64-bit binary code is implemented. At the end, extracted diagrams show optimum performance of proposed algorithm in comparison with conventional Fourier transform, according to the PSL criteria.