【作者】 李文峰； 王永生； 赵健；

【Author】 Wenfeng Li, Yongsheng Wang, Jian Zhao (School of Electronics and Information, Northwestern Polytechnic University, Xi’an 710072, China)

【机构】 西北工业大学电子信息学院；

【摘要】 讨论了分形与小波变换之间的联系,信号的小波变换使得信号的分形本质更加清楚和简单。动压信号的小波系数灰度图直观地表明该信号几乎处处奇异,具有明显的分形特征。动压信号发生畸变导致分形特征的差异,此时的相空间具有有限的低维维数,说明畸变的产生具有内在的确定性机制,由此提供了一种进行故障识别的可行方法。基于小波变换系数的进气道动压及其畸变信号的分形研究不需要计算分形维数的绝对精确值和变化大小,可实现对分形体结构的动态分析。更多还原

【Abstract】 Discussed the relationship between the fractal and the wavelet transform. Wavelet decomposition is very well adapted to the study of the fractal properties of signals. The wavelet transform coefficients plots are characteristic of the inlet dynamic pressure signal that looks similar on many scales and is almost everywhere singular. The pressure distortion makes the fractal changed, and then the faults are detected by monitoring the difference fractal demonstrations. The distortion seems have realization that may contain a limited low dimension and possess the inherent deterministic mechanism. The fractal studies based on wavelet analysis need not complex calculation; it could analyze the fractal structure dynamically.更多还原