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通过对信号多尺度边缘滤波和Donoho阈值决策子波域滤波方法(C-D方法)进行研究,首先给出了C-D阀值选取证明,推导了理论阀值,接着将C-D推广到非正交子波基,使其不仅适用于正交多分辨分解,亦适用于离散子波变换.本文对一维和二维信号的多种子波滤波算法进行了仿真计算,全面分析了C-D算法的性能。
By studying signal multi-scale edge filtering and Donoho threshold decision wavelet domain filtering method (CD method), the C-D threshold selection proof is given first, the theoretical threshold is deduced, then C-D is generalized to non-positive Jiaozi wave base, making it not only suitable for orthogonal multi-resolution decomposition, also applies to discrete wavelet transform. In this paper, the multi-wavelet filtering algorithms for one-dimensional and two-dimensional signals are simulated and the performance of C-D algorithm is analyzed.