Scientific Lectures //
The Fractional Fourier Transformation and Its Applications
Balu Santhanam, Ph.D.- Associate Professor, Department of ECE, University of New Mexico
Presented: October 14, 2015
ABSTRACT: Conventional Fourier analysis finds numerous applications in tomography and fMRI image formation. These techniques remain unsuitable for the analysis of a wide range of non-stationary signals such as ECG, MEG, speech. Initially developed as a analysis tool in quantum physics and optics, the Fractional Fourier transform (FRFT) and its discrete version (DFRFT) have become useful tools in several other areas such as speech processing, image processing, cryptography, communications, radar vibrometry, just to name a few. In this talk, we will overview some of the recent applications for this transform and point out the utility of the extra degree of freedom that it provides.