Detection Mechanism of Fuzzy Singular Signal
模糊奇异性信号的检测机理

There is scarcely any ideal singular signal in engineering practice and the singularity of engineering signal is always very fuzzy. Wavelet’s detection mechanism for this kind of fuzzy singular signal is researched theoretically. It is proved that wavelet’s detection for a fuzzy singular signal corresponds to that a new wavelet is used to detect an ideal singular signal. The generating definition of this kind of new wavelet and its example are given, the example of simulation of ideal singular signal’s being fuzzed and wavelet’s detection for this fuzzy singularity are given, the singularity detecting process for a fuzzy singular signal in engineering practice is also given. All these results back up the theoretical analysis.