A Method of Reconstruction of the Wavelet Transform in the Reproducing Kernel Hilbert Space
Xing Jia · Harbin Ligong Daxue xuebao · 2004
In this paper, the Mallat reconstruction algorithm of the wavelet transform modulus maxima is improved. The authors established a new method of reconstruction of the wavelet transform, which makes up the deficiency of the Mallat reconstruction algorithm of the wavelet transform modulus maxima and the interpolation expression of reconstruction is shown. Because the interpolation can be expressed by section, it is convenient for numeric calculation. Furthermore, the theoretic basis is provided for discussing the solution of a kind of generalized differential equation.