IMPROVED TIME-FREQUENCY REPRESENTATION OF MULTICOMPONENT SIGNALS USING EXPONENTIAL KERNELS
IMPROVED TIME-FREQUENCY REPRESENTATION OF MULTICOMPONENT SIGNALS USING EXPONENTIAL KERNELS
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DOI：
10.1109/assp.1989.28057
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发表时间：
1989-06-01
期刊：
影响因子：
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通讯作者：
WILLIAMS, WJ
中科院分区：
文献类型：
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作者：
CHOI, HI;WILLIAMS, WJ
本文介绍了L. Cohen（1966）的类，并检验了它的性质。这种分布被称为指数分布（艾德）后，其指数核函数。首先，作者从谱密度估计的观点解释了艾德。然后，他们展示了指数核如何控制在广义模糊函数域中表示的交叉项，并分析了两种特定类型的多分量信号的艾德：正弦信号和线性调频信号。接下来，他们定义了离散时间信号的艾德和运行窗口艾德指数分布（RW艾德），这是计算效率。最后，作者提出的RWED使用合成产生的信号的数值例子。结果发现，艾德是非常有效的减少交叉项的影响，同时保留了大部分的属性，这是有用的时频分布。< >
The authors introduce a time-frequency distribution of L. Cohen's (1966) class and examines its properties. This distribution is called exponential distribution (ED) after its exponential kernel function. First, the authors interpret the ED from the spectral-density-estimation point of view. They then show how the exponential kernel controls the cross terms as represented in the generalized ambiguity function domain, and they analyze the ED for two specific types of multicomponent signals: sinusoidal signals and chirp signals. Next, they define the ED for discrete-time signals and the running windowed exponential distribution (RWED), which is computationally efficient. Finally, the authors present numerical examples of the RWED using the synthetically generated signals. It is found that the ED is very effective in diminishing the effects of cross terms while retaining most of the properties which are useful for a time-frequency distribution.< >