Accurate and Fast Parallelized Assessment of Waveform Distortions in Presence of Low and High frequency Spectral Components

G. Carpinelli, P. Varilone, T. Sikorski, J. Rezmer, P. Kostyła, A. Bracale
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Abstract

The waveforms distortion assessment nowadays requires great research efforts due to the contemporaneous presence of low- and high-frequency harmonics and interharmonics (up to 150 kHz). In this paper, a new multi-method approach allowed accurate and fast analysis of such waveforms. The method profitably integrates the performances of some basic methods: the Discrete Wavelet Transform, the sliding-window modified ESPRIT method, and the sliding-window Discrete Fourier Transform which uses a Nuttal window whose length is accurately calculated thanks to the application of the Prony method or the Particle Swarm Optimization. The accurate calculation of Nuttal window length guarantees a good performance in the high-frequency spectral components assessment while reduced computational efforts are obtained parallelizing the calculation of low- and high-frequency harmonics/interharmonics. Numerical applications on synthetic and measured waveforms demonstrate that the proposed method improves the performances of high-performing methods proposed in the recent relevant literature, in the examined cases.
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存在低频和高频频谱分量的波形失真的精确和快速并行评估
由于同时存在低频和高频谐波以及间谐波(高达150khz),波形失真评估需要大量的研究工作。在本文中,一种新的多方法方法可以准确和快速地分析这种波形。该方法很好地综合了离散小波变换、滑动窗口修正ESPRIT方法和滑动窗口离散傅立叶变换等几种基本方法的性能,滑动窗口离散傅立叶变换利用Prony方法或粒子群算法精确计算了努特尔窗口的长度。努努尔窗长度的精确计算保证了高频频谱分量评估的良好性能,同时并行计算低频和高频谐波/间谐波可以减少计算量。在合成波形和测量波形上的数值应用表明,在所研究的案例中,所提出的方法提高了最近相关文献中提出的高性能方法的性能。
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