Cone-shape Distribution Function

In mathematics, cone-shape distribution function is one of the members of Cohen's class distribution function. It was first proposed by Yunxin Zhao, Les E. Atlas, and Robert J. Marks in 1990. The reason why this distribution is so named is because its kernel function in domain looks like two cones. The advantage of this special kernel function is that it can completely remove the cross-term between two components that have same center frequency, but on the other hand, the cross-term results form components with the same time center can not be removed by the cone-shape kernel.

Read more about Cone-shape Distribution FunctionMathematical Definition

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Cone-shape Distribution Function - Mathematical Definition
... The definition of the cone-shape distribution function is shown as follows where and the kernel function is The kernel function in domain is defined as Following are the magnitude distribution of the ... Following are the magnitude distribution of the kernel function in domain with different values ... from the figure above, a properly chosen kernel of cone-shape distribution function can filter out the interference on the axis in the domain, or the ambiguity domain ...
Bilinear Time–frequency Distribution - Some Time-frequency Distributions - Cone-shape Distribution Function
... The kernel of cone-shape distribution function is defined as follows where is an adjustable parameter ... See Transformation between distributions in time-frequency analysis ...

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