Fast Signal Reconstruction from Modulus Maxima Based on Anti-Symmetrical Biorthogonal Wavelets
Mo Guo-rui①; Peng Jin-ye①; Mo Shao-qing②; Xie Ming-hua①
①School of Information Science and Technology, Northwest University, Xi’an 710069, China;②Electronic and Communication Engineering College,Guangxi University of Nationalitise, Nanning 530006, China
Abstract：The signal is done un-decimated wavelet transform using Anti-Symmetrical Biorthogonal Wavelets (ASBW). Because of the ASBW’s approximate derivative property, the local maxima of the wavelet decomposition coefficients can be obtained, which is the corresponding edge of the signal at every scale. Only keeping the local maxima, the Gaussian function is used to fit the wavelet coefficients directly, then inverse wavelet translation is used to reconstruct signal. Numerical results show that the reconstruction algorithm is much faster than the dyadic wavelet translation.
磨国瑞; 彭进业; 磨少清; 谢明华. 基于反对称双正交小波分解系数的模极大值的信号快速重构[J]. 电子与信息学报, 2007, 29(8): 1860-1863 .
Mo Guo-rui; Peng Jin-ye; Mo Shao-qing; Xie Ming-hua. Fast Signal Reconstruction from Modulus Maxima Based on Anti-Symmetrical Biorthogonal Wavelets. , 2007, 29(8): 1860-1863 .
2007, Vol. 29 
