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A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION

Year 2004, Volume: 4 Issue: 1, 1105 - 1111, 28.12.2011

Erol Önen Aydın Akan

https://izlik.org/JA34NA95JN

Abstract

We present a discrete fractional Gabor expansion  based on the closed form discrete fractional Fourier transform. The traditional Gabor expansion represents a signal as a linear combination of time and frequency shifted basis functions. This constant-bandwidth analysis generates a rectangular time-frequency lattice which might lead to poor time-frequency localization for many signals. Proposed expansion uses a set of basis functions related to the fractional Fourier basis and generate a parallelogram-shaped tiling. Completeness and biorthogonality conditions of the new expansion are given.

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Year 2004, Volume: 4 Issue: 1, 1105 - 1111, 28.12.2011

Erol Önen Aydın Akan

https://izlik.org/JA34NA95JN

Abstract

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Details

Primary Language English
Authors

Erol Önen This is me

Aydın Akan

Publication Date December 28, 2011
IZ https://izlik.org/JA34NA95JN
Published in Issue Year 2004 Volume: 4 Issue: 1

Cite

APA Önen, E., & Akan, A. (2011). A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering, 4(1), 1105-1111. https://izlik.org/JA34NA95JN
AMA 1.Önen E, Akan A. A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering. 2011;4(1):1105-1111. https://izlik.org/JA34NA95JN
Chicago Önen, Erol, and Aydın Akan. 2011. “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”. IU-Journal of Electrical & Electronics Engineering 4 (1): 1105-11. https://izlik.org/JA34NA95JN.
EndNote Önen E, Akan A (December 1, 2011) A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering 4 1 1105–1111.
IEEE [1]E. Önen and A. Akan, “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”, IU-Journal of Electrical & Electronics Engineering, vol. 4, no. 1, pp. 1105–1111, Dec. 2011, [Online]. Available: https://izlik.org/JA34NA95JN
ISNAD Önen, Erol - Akan, Aydın. “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”. IU-Journal of Electrical & Electronics Engineering 4/1 (December 1, 2011): 1105-1111. https://izlik.org/JA34NA95JN.
JAMA 1.Önen E, Akan A. A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering. 2011;4:1105–1111.
MLA Önen, Erol, and Aydın Akan. “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”. IU-Journal of Electrical & Electronics Engineering, vol. 4, no. 1, Dec. 2011, pp. 1105-11, https://izlik.org/JA34NA95JN.
Vancouver 1.Önen E, Akan A. A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering [Internet]. 2011 Dec. 1;4(1):1105-11. Available from: https://izlik.org/JA34NA95JN