A Nonparametric Sinusoid Detector with CFAR in White Noise
会议名称：《第八届国际信号处理国际会议》
会议日期：2006年
学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程]
摘 要：正A nonparametric detector called SFCD （Segments Frequency Checking Detector）, the Pfa （false alarm probability） of which is constant and can be easily calculated, is put forward for the problem of detecting a sinusoid of unknown amplitude, frequency and phase in complex white Gaussian or non-Gaussian noise of unknown variance and probability distribution. The decision will be made on the basis of a statistical hypothesis test vector that is composed of a group of discrete frequency bins, which are scaled coarse frequency estimations of hypothetical sinusoid in all length-equal and non-overlapping segments of signal samples. A sinusoid is believed to exist in the received signal if all the absolute values of the difference between the first element and the others of the vector equal zero of one. The basic principle of the proposed algorithm in this paper will be introduced on condition of white Gaussian noise. The Pfa and Pd （detecting probability） are proved independent of the probability distribution of white noise by Monte Carlo simulation, although the performance of Pd is shown to deteriorate less than 4 dB compared with optimal parametric detector as far as samples length of 256 and Pfa of 1e-4 is concerned.