Simulation studies of moving-target detection: a new approach with Wigner–Ville distribution

Fast computation of the ambiguity function and the Wigner distribution on arbitrary line segments

“…Fortunately, as it has been shown in [35], the radial slices of the RWT [ ] can be computed directly from the time signal by using the fractional Fourier transformation (FrFT) for (9) where is the -Radon projection of the WD given by (7), and is the th-order FrFT of the signal as given in Appendix A. Combining (8) and (9), we obtain the following relation between the AF and the FrFT of a signal: (10) Thus, the ordinary 1-D inverse Fourier transform of the magnitude squared th-order FrFT of a signal is equal to the radial slice of its ambiguity function that makes an angle of with respect to the axis in the -plane.…”

A New Approach for LFMCWRadar using Wigner-Ville Distribution

“…In the present work, application of WVD for range-Doppler processing in LFMCW radar instead of FFT algorithm is shown in figure (3). The complexity of WVD is higher than that of FFT [6].…”

“…The use of ceiling and floor functions avoids the difficulty of Eq. (6) owing to the unavailability of noninteger samples at m∆t/2. So, the WVD cited in Eq.…”

A fast FRFT based detection algorithm of multiple moving targets in sea clutter

“…Recently, a lot of efforts have been made to design innovative methods for target detection within sea clutter, e.g. fractal techniques [3], constant false alarm rate (CFAR) methods [4] and Wigner-Vill distribution (WVD) analysis [5] etc. But the above approaches have some limitations as well: fractal techniques cannot acquire the state of moving targets; CFAR methods need the statistical model with complicated detection process; WVD analysis has the serious cross-term problem.…”