Measurement of 1-D signal based on continuous wavelet transform
Xingming Long · Journal of Chongqing University of Posts and Telecommunications · 2004
Sharp point variation is one of the most important characteristics of the nonstationary signals, and the local singularity analysis is very important for describing the signal more accurately. In mathematics, singularity can be described by lipschitz exponents . Mallat has proved that the lipschitz exponents can be obtained by calculating the decay of the local module maximum of the wavelet transform coefficients. In this paper, the numerical measurement procedure of the lipschitz exponents is provided and the simulation of a 1-D signal by Matlab is also given. The simulation shows that this method is precise to measure the lipschitz exponents, especially for lipschitz exponents between 0.3 and 2.0.