An analysis of instantaneous frequency representation using time-frequency distributions-generalized Wigner distribution

An analysis of instantaneous frequency representation using time-frequency distributions-generalized Wigner distribution
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DOI:
10.1109/78.348139
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发表时间:
1995-02
期刊:
IEEE Trans. Signal Process.
影响因子:
--
通讯作者:
L. Stanković;S. Stankovic
L. Stanković;S. Stankovic
中科院分区:
其他
文献类型:
--
作者:
L. Stanković;S. Stankovic

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本文分析了用能量密度域的时频分布表示瞬时频率的方法。选择与“理想”瞬时频率表示的相似性作为比较各种分布的标准。虽然所有常用的分布都存在沿频率轴的伪影,但就这一准则而言,Wigner分布是其中最好的。为了减少伪影,引入了Wigner分布的推广--LWD。分析了随钻测井的特性。结果表明,在不增加计算时间的情况下,得到了更好的结果。以调频信号为例,说明了该理论的正确性。>
This paper presents an analysis of the representation of instantaneous frequency using time-frequency distributions of energy density domain. Similarity to the "ideal" instantaneous frequency presentation is chosen as a criterion for comparison of various distributions. Although all the commonly used distributions suffer from the artifacts along frequency axis, it is shown that the Wigner distribution is the best among them, with respect to this criterion. The generalization of Wigner distribution-LWD-is introduced to decrease the artifacts. The properties of the LWD are analyzed. It is shown that, at the expense of an insignificant increase in computation time, much better results are obtained. The theory is illustrated by a numerical example with the frequency modulated signals. >