A high resolution time frequency representation with significantly reduced cross-terms

A novel algorithm is proposed for efficiently smoothing the slices of the Wigner distribution by exploiting the developed relation between the Radon transform of the ambiguity function and the fractional Fourier transformation (Odzemir and Ankan, 1999). The main advantage of the new algorithm is its ability to suppress cross-term interference on chirp-like auto-components without any detrimental effect to the auto-components. For a signal with N samples, the computational complexity of the algorithm is O(N log N) flops for each smoothed slice of the Wigner distribution.