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Description: 文章通过对实序列快速傅里叶变换的算法推导及Mallat 算法原理的分析，根据离散小波变换（DWT）算
法结构特征，提出了一种离散小波的快速变换算法，给出了相应的算法步骤。从数学理论上进行了论证，并把该算法
应用到静态图像处理中，得到了很好的快速和重建效果，具有一定的实用价值。
关键词：小波分析；Mallat 算法；快速小波算法 图像处理
中图分类号：TN914 文献标识码：A
1 引言
小波分析是近十多年来迅速发展起来的新兴学科和信号分析理论，是继傅里叶分析方法之后的重
大突变。它具有时域局部化和频域局部化的优点，而且高频端的时间间隔小（有着高的时间分辨率），
低频端的时间间隔大（有着高的频率分辨率），这与人的视觉机制由粗到细的认识过程相一致，固而有
“数学显微镜”之称，是进行信号处理和分析的有效工具。特别是其多分辨率分析理论及其快速算法
——Mallat 算法在数字信号处理和数字通信-articles on real sequence Fast Fourier Transform algorithm Derivation Principle and Mallat algorithm analysis, discrete wavelet transform (DWT) algorithm structure, a fast discrete wavelet transform algorithm, corresponding to the given algorithm steps. From a theoretical mathematical proof, and the algorithm is applied to the static image processing, to be a good and rapid reconstruction effect, it is of great practical value. Keywords : wavelet analysis; Mallat algorithm; Fast Wavelet Image Processing Algorithms Key words : ODFD code : A preamble to a wavelet analysis of the last 10 years developed rapidly emerging disciplines and signal analysis theory, Fourier analysis is the method after a major mutation. It is localized in time domain and frequency domain of local advantages, but hig Platform: |
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Search - great practical value