瞬态信号的双树复小波Power-Law检测  

Transient Signal Detection Using Dual-Tree Complex Wavelet Transform Power-Law Detector

作　　者：董华玉[1] 张晓兵[1] 文钢[1] 玄兆林[1] 

机构地区：[1]镇江船艇学院工程系,镇江212003

出　　处：《数据采集与处理》2009年第1期23-27,共5页Journal of Data Acquisition and Processing

基　　金：国防预研基金(2010301010101)资助项目

摘　　要：为克服离散小波变换平移不变性差的不足,通过构造的Hilbert变换对滤波器组,实现了双树复小波变换。建立了基于复小波变换系数的Power-Law检测器。推导了检测统计量的渐近性能和偏移系数,由输入信噪比损失给出了检测器参数的选择方法。利用仿真与实测数据进行了试验,并与基于离散小波变换的Power-Law检测器进行了比较。本文提出的小波方法能很好实现平移不变性,建立的检测器具有更大的偏移系数,在相同的信噪比和虚警概率下能够得到更高的检测概率。By the Hilbert transform pair filters dual-tree complex wavelet transform is achieved to overcome the translation-invarianee deficiency of the discrete wavelet transform. A novel Power-Law detector based on complex wavelet transform coefficients is proposed. The asymp- totic performance and the deflection coefficients of the detector are deduced. Using input signal-to-noise ratio, the method for choosing the parameter of the proposed detector is presented. The simulation and real data are used to test the performance of the detector. A comparison between the proposed detector and the detector based on discrete wavelet transform is given. Experimental results show that the proposed wavelet method has preferable shift-invariance and the novel detector has a much larger deflection coefficient. With the same signal-to- noise ratio and false alarm probability, the novel detector can achieve higher detection probability compared with the detector based on discrete wavelet transform.

关 键 词：信号检测 瞬态信号 双树复小波 Hilbert变换对 Power-Law检测 

分 类 号：TP114[自动化与计算机技术—控制理论与控制工程]