Uncertainty principle for real signals in the linear canonical transform domains

IEEE Transactions on Signal Processing

Volumn 56, Issue 7 I, 2008, Pages 2677-2683

  Sharma, Kamalesh Kumar ^a   Joshi, Shiv Dutt ^b  

^a MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Fractional Fourier transform (FFT); Linear canonical transform (LCT); Uncertainty principle

Indexed keywords

CONTROL THEORY; DIGITAL SIGNAL PROCESSING; EIGENVALUES AND EIGENFUNCTIONS; FOURIER OPTICS; MILITARY DATA PROCESSING; SIGNAL PROCESSING;

BAND LIMITED; FRACTIONAL FOURIER DOMAINS; FRACTIONAL FOURIER TRANSFORM (FRFT , DFRFT); GAUSSIAN SIGNALS; LINEAR CANONICAL TRANSFORM (LCT); LOWER BOUNDS; REAL SIGNALS; UNCERTAINTY PRINCIPLES;

FOURIER TRANSFORMS;

EID: 46749112750     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.917384     Document Type: Article

References (9)

1. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform With Applications in Optics and Signal Processing. Chichester, U.K.: Wiley, 2001, p. 111.
2. S. Shinde and V. M. Gadre, "An uncertainty principle for real signals in the fractional Fourier transform domain," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2545-2548, Nov. 2001.
3. D. Mustard, "Uncertainty principle invariant under fractional Fourier transform," J. Austral. Math. Soc. Ser. B, vol. 33, pp. 180-191, 1991.
4. X.-G. Xia, "On bandlimited signals with fractional Fourier transform," IEEE Signal Process. Lett., vol. 3, no. 3, pp. 72-74, Mar. 1996.
5. V. Namias, "The fractional Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl., vol. 25, pp. 241-265, 1980.
6. L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3084-3091, Nov. 1994.
7. A. I. Zayed, "A convolution and product theorem for the fractional Fourier transform," IEEE Signal Process. Lett., vol. 5, no. 4, pp. 101-103, Apr. 1998.
8. S.-C. Pei and J.-J. Ding, "Eigenfunctions of linear canonical transform," IEEE Trans. Signal Process., vol. 50, no. 1, pp. 11-25, Jan. 2002.
9. B.-Z. Li, R. Tao, and Y. Wang, "New sampling formulae related to linear canonical transform," Signal Process., vol. 87, pp. 983-990, 2007.