实用信号多尺度边缘重建算法

The Practical Signal Reconstruction Algorithm by Using Multiscale Edges Representation

信号的多尺度边缘重建在信号分析、图象处理等方面具有很大的理论和实用价值．本文对Ｍａｌｌａｔ所提出的信号多尺度边缘重建算法进行了实用化改进，克服了原方法选代时在信号的多尺度表达的模极大值点外出现模极大值点和收敛速度较慢等问题，重建实例证明改进算法可加快重建时的选代收敛速度、提高重建信号的质量．

Signal reconstruction by using multiscale edges is of great theoretical and practical value to signal analysis and image processing. In this paper the reconstruction algorithm proposed by Mallat is improved and the new practical algorithm overcomes the shortcoming of having error modulus maximum points in the multiscale representation of reconstruction signal.The example shows that the improved algorithm can accelerate the convergence rate and enhances the quality of signal reconstruction.