摘要
分析了香农正交小波的频谱特性和信号的变换特点，提出了用傅里叶变换或余弦变换实现香农正交小波变换及其逆变换的快速算法．实验结果说明香农正交小波虽然是非紧支集的，但是它在联系小波变换和早已获得广泛应用的傅里叶变换方面具有重要意义，有利于小波变换在信号的实时处理中的广泛应用．
The spectral and the transforming properties of Shannon orthogonal wavelet are analyzed.The fast algorithm of Shannon orthogonal wavelet transform is presented using Fourier transform orCosine transform. The conclusions and the experimental. results show that although it is not tightlysupported, Shannon orthogonal wavelet plays an important part not only in connecting wavelet transform and Fourier transform having been widely applied, but also in applying generally wavelettransform to real-time signal processing.
出处
《华中理工大学学报》
CSCD
北大核心
1998年第8期67-69,73,共4页
Journal of Huazhong University of Science and Technology
基金
国家自然科学基金!69775022
关键词
小波变换
香农小波
多尺度分析
FFT
余弦变换
wavelet transform
Shannon wavelet
multiresolution analysis
FFT
Cosine transform
