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Radial Function Based Kernel Design for Time-Frequency Distributions

Wimalaguna Kodituwakku, Sandun; Kennedy, Rodney; Abhayapala, Thushara


A 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...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: IEEE Transactions on Signal Processing
DOI: 10.1109/TSP.2010.2044252


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