Fast Signal Reconstruction from Modulus Maxima Based on Anti-Symmetrical Biorthogonal Wavelets
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

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.