Sukrit Shankar and Chetana Shanta Patsa and Jaydev Sharma
Lower Bound of Time Span Product for a General Class of Signals in Fractional Fourier Domain
1423 - 1425
2008
2
7
International Journal of Electronics and Communication Engineering
https://publications.waset.org/pdf/8228
https://publications.waset.org/vol/19
World Academy of Science, Engineering and Technology
Fractional Fourier Transform is a generalization of the classical Fourier Transform which is often symbolized as the rotation in time frequency plane. Similar to the product of time and frequency span which provides the Uncertainty Principle for the classical Fourier domain, there has not been till date an Uncertainty Principle for the Fractional Fourier domain for a generalized class of finite energy signals. Though the lower bound for the product of time and Fractional Fourier span is derived for the real signals, a tighter lower bound for a general class of signals is of practical importance, especially for the analysis of signals containing chirps. We hence formulate a mathematical derivation that gives the lower bound of time and Fractional Fourier span product. The relation proves to be utmost importance in taking the Fractional Fourier Transform with adaptive time and Fractional span resolutions for a varied class of complex signals.
Open Science Index 19, 2008