利用子波变换检测瞬时信号

Detection of Transient Signals Using Wavelet Transform

本文提出一种基于子波变换的检测瞬时信号的方法。推导出一种适合于检测瞬时信号的子波基函数，并将其应用于检测波形和到达时间未知的瞬时信号。利用子波的伸缩和时移特性，通过对信号做多尺度的子波变换，可以在低信噪比下很好地检测到信号。本文还推导了相应的检测统计量及其统计分布特性；理论分析和计算机模拟结果表明，本方法是有效的，是提高检测性能的一种新途径。

Based on wavelet transform,a new method for detecting transient signals has been proposed.A class of wavelet basis functions has been introduced to detect transient signals with unknown waveforms and arrival times.By using multiscale wavelet transform, the proposed detector works well under low SNR.The detection statistic based on the wavelet coefficients has been given and the performance of the detector has been evaluated.Theoretical analysis and computer simulations have shown that the proposed scheme is effective.