Wimalaguna Kodituwakku, SandunKennedy, RodneyAbhayapala, Thushara2015-12-101053-587Xhttp://hdl.handle.net/1885/58508A framework based on the $n$ -dimensional Fourier transform of a radially symmetric function is introduced to design kernels for Cohen time-frequency distributions. Under this framework, we derive a kernel formula which generalizes and unifies MargenauHill, BornJordan, and Bessel distributions, using a realization based on a n-dimensional radial delta function. The higher order radial kernels suppress more cross-term energy compared with existing lower order kernels, which is illustrated by the time-frequency analysis of atrial fibrillation from surface electro cardiogram data.Keywords: Born-Jordan distribution; Kernel design; Margenau-hill distribution; Multidimensional Fourier transform; Time-frequency distributions; Delta functions; Design; Heat radiation; Fourier transforms Bessel distribution; Born-Jordan distribution; Cohen class; Kernel design; Margenau-Hill distribution; Multidimensional Fourier transform; Time-frequency distributions (TFDs)201010.1109/TSP.2010.20442522016-02-24