Cone-shape distribution function

[1][6] It was first proposed by Yunxin Zhao, Les E. Atlas, and Robert J.

[8] The advantage of the cone kernel function is that it can completely remove the cross-term between two components having the same center frequency.

Cross-term results from components with the same time center, however, cannot be completely removed by the cone-shaped kernel.

domain is defined as: Following are the magnitude distribution of the kernel function in

As is seen in the figure above, a properly chosen kernel of cone-shape distribution function can filter out the interference on the

Therefore, unlike the Choi-Williams distribution function, the cone-shape distribution function can effectively reduce the cross-term results form two component with same center frequency.

The cone-shape distribution function is in the MATLAB Time-Frequency Toolbox[11] and National Instruments' LabVIEW Tools for Time-Frequency, Time-Series, and Wavelet Analysis [12]