Browsing by Subject "Radon transform"
Now showing 1 - 3 of 3
Results Per Page
Sort Options
Item Open Access Fractional fourier transform(Wolfram Research, 2003) Özaktaş, Haldun M.; Weisstein, E. W.Item Open Access High resolution time frequency representation with significantly reduced cross-terms(IEEE, 2000-06) Özdemir, A. Kemal; Arıkan, OrhanA novel algorithm is proposed for efficiently smoothing the slices of the Wigner distribution by exploiting the recently developed relation between the Radon transform of the ambiguity function and the fractional Fourier transformation. 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.Item Open Access Projection-slice theorem as a tool for mathematical representation of diffraction(Institute of Electrical and Electronics Engineers, 2007) Onural, L.Although the impulse (Dirac delta) function has been widely used as a tool in signal processing, its more complicated counterpart, the impulse function over higher dimensional manifolds in ℝN, did not get such a widespread utilization. Based on carefully made definitions of such functions, it is shown that many higher dimensional signal processing problems can be better formulated, yielding more insight and flexibility, using these tools. The well-known projection-slice theorem is revisited using these impulse functions. As a demonstration of the utility of the projection-slice formulation using impulse functions over hyperplanes, the scalar optical diffraction is reformulated in a more general context.