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首页> 外文期刊>Mechanical systems and signal processing >Frequency-varying group delay estimation using frequency domain polynomial chirplet transform
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Frequency-varying group delay estimation using frequency domain polynomial chirplet transform

机译：基于频域多项式Chirplet变换的时变群时延估计

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摘要

In signal processing, group delay (GD) is used to measure the time delay of a signal passing through a system. It is an important parameter to be estimated for identifying, localizing, and tracking radiating sources. Moreover, it is conducive to acquire the characteristics and predict the response of the system. The GD is calculated by differentiating, with respect to frequency, the phase response versus frequency of the device under test, i.e., the slope of the phase response at any given frequency. In a linear phase system, the GD is constant. In practice, the GD of a signal passing through the system under test could vary with frequencies. Most GD estimation techniques are designed to estimate the constant GD instead of the frequency-varying GD. Time-frequency analysis is a potential tool for frequency-varying GD estimation. In this paper, a frequency domain polynomial chirplet transform (FPCT) is proposed. It first applies a GD-rotating operator and GD-shifting operator on the spectrum of the signal successively. Then, the inverse Fourier transform is performed on every windowed spectrum that is obtained by sliding the window throughout the shifted spectrum of the signal. An advantage of the FPCT is that it can obtain well-concentrated time-frequency representation so as to estimate nonlinear GD for wideband signals. The comparisons between the FPCT and other time-frequency analysis methods are provided to verify the performance of the FPCT in estimating the nonlinear GD. In addition, the study on experimental Lamb wave signal validates the effectiveness and potential of the FPCT.
机译：在信号处理中，组延迟（GD）用于测量通过系统的信号的时间延迟。对于识别，定位和跟踪辐射源而言，这是一个重要的参数。而且，有利于获得特征并预测系统的响应。通过相对于频率微分相位响应与被测设备的频率，即在任何给定频率下的相位响应的斜率，来计算GD。在线性相位系统中，GD是恒定的。实际上，通过被测系统的信号的GD可能随频率而变化。大多数GD估算技术均设计用于估算常数GD而不是频率变化的GD。时频分析是进行时变GD估算的潜在工具。本文提出了一种频域多项式Chirplet变换（FPCT）。它首先在信号频谱上依次应用GD旋转算子和GD移位算子。然后，对通过在整个信号的移位频谱中滑动窗口而获得的每个窗口频谱执行傅立叶逆变换。 FPCT的一个优点是它可以获得集中的时频表示，以便为宽带信号估计非线性GD。提供了FPCT与其他时频分析方法之间的比较，以验证FPCT在估计非线性GD方面的性能。此外，对实验性兰姆波信号的研究验证了FPCT的有效性和潜力。

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