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在最优表示准则意义下,以Shannon抽样定理为基础,讨论了将数字信号表示到小波多分辨率分析的某一抽样空间的通用算法,此算法的选取仅依赖于小波多分辨率分析的尺度函数而对偶尺度函数无关;给出了控制逼近误差的采样频率选取方法。
Based on the Shannon sampling theorem, the general algorithm for representing digital signals to a sampling space in wavelet multi-resolution analysis is discussed in the context of optimal representation criterion. The selection of this algorithm depends only on the scale of wavelet multiresolution analysis Function has nothing to do with the dual scaling function. A sampling frequency selection method is given to control the approximation error.