关于子波变换局部极大值信号重构的交替投影算法

On the Alternative Projection Algorithm of Signal Reconstruc tion from the Modulus Maxima of Its Wavelet Transform

信号子波变换极值描述是信号的一种稳定和精确的描述。交替投影算法是子波变换局部极大值信号重构的有效算法。本文对交替投影算法应用中所产生的Ｇｉｂｂｓ现象的抑制和迭代初值的选择等问题进行了研究，通过计算机仿真取得了一些有意义的结果。

Wavelet transform extrema representation is used to describe the stability and accuracy of signals stably and accurately, and the alternative projection algorithm is proved effective in signal reconstruction from the modulus maxima of its wavelet transform. In this paper, some improvement on the application of the algorithm is shown through computer simulation, including the suppression of Gibbs phenomena and the selection of initial iteration estimation.