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Abstract
The fractional fourier transform can be viewed as a generalization of the Fourier transform. The relation between rotation of a signal in the time-frequency plane to the Fractional Fourier tranform is introduced. In this paper, the fractional Fourier transform and its properties are presented. Further the problem of finding an optimum fractional Fourier Domain, i.e.…. one in which the energy of a signal is maximally concentrated, is discussed for quadratic chirps. A quadratic chirp is a signal whose frequency bears a quadratic relation in time.
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Uday Khankhoje
Uday Khankhoje has completed his BTech degree (2001–05) from the Department of Electrical Engineering, Indian Institute of Technology (IIT) Bombay. He is now a PhD student at Caltech, Pasadena, USA. He has had an excellent performance during his Undergraduate (BTech) programme, and won several honours and accolades during his tenure as a student. The work reported in this paper, is a result of research carried out by him in the Undergraduate Research Opportunities Programme (UROP-01), in collaboration with Prof Vikram M Gadre, the co-author.
V M Gadre
Vikram M Gadre is a member of the faculty of the Department of Electrical Engineering, NT Bombay. He has served as Research Advisor to Uday Khankhoje in the UROP-01 Research Effort, of which this paper is the result.