| 香农正交小波变换的FFT实现 |
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| 引用本文： | 熊联欢,胡汉平,李德华,皮明红.香农正交小波变换的FFT实现[J].华中科技大学学报(自然科学版),1998(8). |
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| 作者姓名： | 熊联欢 胡汉平 李德华 皮明红 |
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| 作者单位： | 华中理工大学图像识别与人工研究所图像信息处理与智能控制国家教委开放实验室(熊联欢，胡汉平，李德华)，华中理工大学图像识别与人工研究所图像(皮明红) |
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| 基金项目： | 国家自然科学基金!69775022 |
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| 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．
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| 关 键 词： | 小波变换 香农小波 多尺度分析 FFT 余弦变换 |
Shannon Orthogonal Wavelet Transform Using FFT |
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| Xiong Lianhuan,Hu Hanping,Li Dehua,Pi Minghong.Shannon Orthogonal Wavelet Transform Using FFT[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(8). |
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| Authors: | Xiong Lianhuan Hu Hanping Li Dehua Pi Minghong |
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| Institution: | Xiong Lianhuan;Hu Hanping;Li Dehua;Pi Minghong |
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| Abstract: | 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. |
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| Keywords: | wavelet transform Shannon wavelet multiresolution analysis FFT Cosine transform |
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