High Precision Computation of Morlet Wavelet Transform for Multi-period Analysis of Climate Data
Hua Yi · Journal of Information and Computational Science · 2014
The algorithms of continuous wavelet transform based on Morlet wavelets are analyzed. The algorithm analysis, advantage and disadvantage, and remedial method of FFT-based method are given. And then the algorithm proposed in this paper is free of shortcomings of FFT-based method and its precision is the best among existing linear-convolution-based methods. Thirdly, two different normalizations for the computation of continuous wavelet transform are proposed in order to obtain high-precision characterization of data. Finally, we stress the importance of suitable algorithms by analyzing the multi-period structure of climate data.