Parameters and DOA estimation based on wavelet packets selection for transient signals in colored noise

The aim of this paper is to estimate the directions of arrival of ultra-high-energy cosmic rays using an antenna array. Extensive air showers produced generate wideband transient signals which have to be detected and characterized by the use of wavelet packet (WP) transform. An adaptive energy detector is used as a criterion to choose the best basis of WP. After reconstruction of the selected WP, the Maximum Likelihood Estimator is applied to estimate the parameters and the directions of arrival. Results evidence the efficiency of the method for simulated and real signals to detect the pulses from the input signal to noise ratio of −20 dB. Moreover, the performances of the proposed method are studied via extensive Monte Carlo simulations and compared with the Cramer Rao bounds. For this purpose, the colored noise disrupting signals is proposed.