Complex signal recovery from two fractional Fourier transform intensities: order and noise dependence

Complex signal recovery from multiple fractional Fourier-transform intensities.

The problem of recovering a complex signal from the magnitudes of any number of its fractional Fourier transforms at any set of fractional orders is addressed. This problem corresponds to the problem of phase retrieval from the transverse intensity profiles of an optical field at arbitrary locations in an optical system involving arbitrary concatenations of lenses and sections of free space. Th...

Sonar Signal Enhancement Using Fractional Fourier Transform

Signal Recovery from Partial Fractional Fourier Domain Information

The problem of recovering signals from partial fractional Fourier transform information arises in wave propagation problems where the measured information is partial, spread over several observation planes, or not of sufficient spatial resolution or accuracy. This problem can be solved with the method of projections onto convex sets, with the convergence of the iterative algorithm being assured...

Fractional order Fourier transform-based fringe-adjusted joint transform correlator

An extended fractional Fourier transform (FRT) based fringe-adjusted joint transform correlator (JTC) for real-time target recognition applications has been implemented. In real-time situation, the input scene is captured using a chargecoupled device camera. The joint input images are fractional Fourier transformed and the joint power spectrum (JPS) has been recorded. Thus obtained JPS is multi...

Effects of noise on signal reconstruction from Fourier transform phase

The effects of noise in the given phase o oignal reconstruction from the Fourier transform ohase are studied. Specifically, the effects of different methods of sampling the degraded phase, of the number of non—zero points in the sequence, and of the noise levol on the sequence reconstruction are examined. A sampling method is developef to significantly reduce the error in the reconstructed sequ...