模糊奇异性信号的检测机理
doi: 10.3724/SP.J.1146.2006.01857
Detection Mechanism of Fuzzy Singular Signal
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摘要: 工程实际中一般很难有理想的奇异性信号,它们的奇异性往往表现得很模糊。该文从理论上分析了这种模糊奇异性信号的小波检测机理,证明了小波对模糊奇异性信号的检测相当于用一个新小波对理想奇异性信号进行检测,给出了新小波的生成定义与实例、理想奇异性信号的模糊化模拟与检测实例,也给出了一个工程实际模糊奇异性信号的奇异性检测过程,这些实例结果证明了理论分析的正确性。Abstract: There is scarcely any ideal singular signal in engineering practice and the singularity of engineering signal is always very fuzzy. Wavelets detection mechanism for this kind of fuzzy singular signal is researched theoretically. It is proved that wavelets 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 signals being fuzzed and wavelets 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.
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