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Using Advanced Time Domain Function And Interpolation In Frequency Domain Algorithm Based On The Shannon Wavelet Packet Transform To Measurement The Nonstationary Harmonics

机译:基于Shannon小波包变换的频域算法中的高级时域功能和插值测量非间断谐波

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摘要

Wavelet Packet Transform (WPT) is one of the most powerful tools in the analysis of the nonstationary signals. Shannon wavelet function is the only function that can divide the frequency domain strictly in the single wavelet family, but the time waveform of Shannon wavelet is not compactly supported, so the application of it is limited. In this paper, a kind of optimized Shannon Wavelet Transform (SWPT) algorithm is proposed. Firstly, the incompactly supported characters is improved in time domain by modification the function''s time expression; secondly; the interpolation algorithm in SWPT''S frequency filter is proposed to ameliorate the performance father more; then the fast computation of algorithm using chirp Z transform is implemented, at last the numeric simulation has been given out. The result shows the algorithm improves the performance of the SWPT effectively.
机译:小波包变换(WPT)是对非标准信号分析中最强大的工具之一。 Shannon小波函数是唯一可以严格地将频域分开的函数在单个小波家族中,但香农小波的时间波形不紧凑,所以它的应用是有限的。本文提出了一种优化的香农小波变换(SWPT)算法。首先,通过修改函数的时间表达式,在时域中改进了不兼容的支持的字符;其次;提出了SWPT频率滤波器的插值算法,以更新性能父亲;然后实现了使用Chirp Z变换的算法的快速计算,最后已经发出了数字模拟。结果表明,该算法有效地提高了SWPT的性能。

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