【正文】
應用小波變換檢測噪聲中的信號王世慶 朱 峰 盛克敏摘 要 研究了基于小波變換的信號檢測問題,提出了多分辯似然比的概念,表明對檢測問題存在一些特定的時頻空間,在其中信號的大部分能量得到保存,而噪聲能量很快減少,因此應用小波變換,通過對特定的時頻空間的似然比分析較容易判斷噪聲中是否存在信號。關(guān)鍵詞 信號特性分析;濾波器;似然比檢驗;小波變換分類號 Application of Wavelet Transform to the Detection of Signals in NoiseWang Shiqing Zhu Feng Sheng Kemin(Inst. of Electromag. Field and Microwave Tech., Southwest Jiaotong University, Chengdu 610031, China)Abstract Signal detection based on wavelet transform is studied, and a concept of multiresolution likelihood ratio is put forward. It is shown that there exist some particular spaces in time domain, in which most of the signal energy is conserved while the noise energy is attenuated sharply. Therefore, based on wavelet transform, and by analyzing the likelihood ratio of the particular spaces in time domain, it can be easily determined that whether or not there are some signals mixed in noise Key words signal analysis。 filter。 likelihood ratio tests。