Research of Singular Signal Detection Based on Wavelet Analysis

The singular points of the singular signal often take some important information, which is one of the main characters of a singular signal. Based on wavelet transform multiresolution analysis, it can be used to estimate the singularity. Using the relationship between wavelet transform modulus maxima and singular point, the signal singular point location can be analyzed; the local singularity is described by Lipschitz index. The qualifications of wavelet base for the singular signal detection are studied. It can determine location of signal singular point and singular exponent of singular signal. The example are taken finally, and the conclusion that wavelet transform have specific property for singular signal detection and location analysis. Wavelet transform can analysis the signal elements at certain frequency band and time section, which has good time frequency localization and can seize character of instantaneous changing signals accurately and focus any details of signal for frequency through gradually meticulous sampling step of time field and frequency field.