Kernel design techniques for alias-free time-frequency distributions

This paper presents a modification of the alias-free generalized discrete time-frequency distribution (AF-GDTFD) which reduces the computations necessary to implement the algorithm from O(N³) to O(N²log N). With this new implementation, we examine the problem of designing/modifying kernels defined in the ambiguity plane for use with the AF-GDTFD. We present three different methods to allow the use of these kernels and demonstrate them using the Butterworth kernel