Selection of optimal wavelet basis for singularity detection of non-stationary signal

By using wavelet transform modulus maximum principle for non-stationary signal singularity detection is a kind of very good method. Through to the various wavelet singularity extracted, the analysis results can be divided into four types: accurate location, the approximate location, overlapping effect, rim effect. According to the classification we learn the optimal wavelet basis should has the following features: the optimum wavelet basis should have strong ability of detecting and precision, and at the same time the influence of overlap and rim should be as small as possible. According to these characteristics, a discriminant function is constructed. The wavelet basis makes the largest discriminant function value is optimal. The experimental results show that the method in this paper according to find out the optimum wavelet basis did more than other wavelet detection effect better.