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Enhanced frequency analysis using wavelets

机译:使用小波增强频率分析

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An enhanced frequency analysis method is introduced, using a phase shift wavelet representation, to analyse individual frequency components and to reveal features of a given signal. The frequency representation provides details at each time location without the loss, caused by local orthogonality between the wavelet basis functions and the given signal, which occurs when a normal wavelet decomposition is employed. Movement of the local orthogonality locations, corresponding to the phase shift of the wavelet basis functions, are studied and it is shown that these movements are important and can be used to reveal features of the signal in the frequency domain, such as continuities, smoothness, and trends. Several examples are presented to illustrate the method and an application to a permanent magnet synchronous drive system is provided to demonstrate the approach. [References: 18]
机译:使用相移小波表示引入增强的频率分析方法,分析单个频率分量并揭示给定信号的特征。 频率表示在每个时间位置提供细节,而没有损耗,由小波基函数和给定信号之间的局部正交引起,当采用正常小波分解时发生。 研究了局部正交位置,对应于小波基函数的相移的位置,并且示出了这些运动很重要,并且可用于揭示频域中信号的特征,例如连续性,平滑度, 和趋势。 提出了几个例子以说明该方法和应用于永磁同步驱动系统的应用,以展示该方法。 [参考:18]

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