Time-frequency representations using a radial Butterworth kernel

A new radial Butterworth kernel (RBK) with two adjustable parameters for the Cohen's (1966) class of distributions (CCD) is presented in the ambiguity function domain. It is particularly suitable for signals with a high degree of of nonstationarity and, by adjusting these parameters, the resulting time-frequency distribution can effectively suppress the crossterms while retaining the autoterms. Numerical experiments using the RBK are compared with other famous distributions. Finally, the RBK is generalized such that a wide variety of shapes can be obtained in the ambiguity function domain.<
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