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首页> 外文会议>International Conference on Signal Processing(ICSP'06); 20061116-20; Guilin(CN) >A Nonparametric Sinusoid Detector with CFAR in White Noise
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A Nonparametric Sinusoid Detector with CFAR in White Noise

机译：白噪声中带CFAR的非参数正弦检测器

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摘要

A nonparametric detector called SFCD (Segments Frequency Checking Detector), the P_(fa) (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 or one. The basic principle of the proposed algorithm in this paper will be introduced on condition of white Gaussian noise. The P_(fa) and P_d (detecting probability) are proved independent of the probability distribution of white noise by Monte Carlo simulation, although the performance of P_d is shown to deteriorate less than 4 dB compared with optimal parametric detector as far as samples length of 256 and P_(fa) of 1e-4 is concerned.
机译：提出了一种非参数检测器，称为SFCD（段频率检查检测器），它的P_（fa）（虚警概率）恒定且易于计算，用于检测未知振幅，频率和相位的正弦波。方差和概率分布未知的复杂白高斯或非高斯噪声。决策将基于统计假设检验向量进行，该统计假设检验向量由一组离散频率仓组成，这些离散频率仓是在信号样本的所有长度相等和非重叠段中对假设正弦波进行缩放的粗略频率估计。如果第一元素与向量的其他元素之间的差的所有绝对值等于零或一个，则认为接收信号中存在正弦波。本文将在白高斯噪声条件下介绍该算法的基本原理。通过蒙特卡洛模拟证明了P_（fa）和P_d（检测概率）与白噪声的概率分布无关，尽管就最佳采样长度而言，与最佳参数检测器相比，P_d的性能下降不到4 dB。 256和1e-4的P_（fa）有关。

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