新的时频表示:高阶翘曲维格纳分布

R. L. Murray, A. Papandreou-Suppappola, G. Boudreaux-Bartels
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引用次数: 3

摘要

通过对高阶Wigner分布进行翘曲,提出了一种新的高阶时频表示(TFR)——高阶广义翘曲Wigner分布(HOG-WD)。HOG-WD对于分析具有瞬时频散特性的信号具有重要意义。在本文中,我们(i)提供了一个HOG-WD公式,(ii)给出了基于不同翘曲的HOG-WD的重要特殊情况,(iii)根据1-D广义变换和广义高阶模糊函数讨论了HOG-WD的备选公式,(iv)讨论了HOG-WD的一些理想性质,(v)基于HOG-WD的平滑版本定义了一个高阶的广义(交替符号)频移协变tfr类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New time-frequency representations: higher order warped Wigner distributions
We propose a new higher order time-frequency representation (TFR), the higher order generalized warped Wigner distribution (HOG-WD), by warping the higher order Wigner distribution. The HOG-WD is important for analyzing signals with dispersive instantaneous frequency characteristics. In this paper, we (i) provide a HOG-WD formulation, (ii) give important special cases of the HOG-WD based on different warpings, (iii) discuss alternative HOG-WD formulations in terms of a 1-D generalized transform and in terms of a generalized higher order ambiguity function, (iv) discuss some desirable properties of the HOG-WD, and (v) define a higher order, generalized (alternating sign) frequency-shift covariant class of TFRs based upon smoothed versions of the HOG-WD.
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