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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

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

Abstract

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Details

Primary Language English
Journal Section Articles
Authors

Erol Önen This is me

Aydın Akan

Publication Date December 28, 2011
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.
AMA Önen E, Akan A. A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering. December 2011;4(1):1105-1111.
Chicago Önen, Erol, and Aydın Akan. “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”. IU-Journal of Electrical & Electronics Engineering 4, no. 1 (December 2011): 1105-11.
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 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, 2011.
ISNAD Önen, Erol - Akan, Aydın. “A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION”. IU-Journal of Electrical & Electronics Engineering 4/1 (December 2011), 1105-1111.
JAMA 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, 2011, pp. 1105-11.
Vancouver Önen E, Akan A. A CLOSED-FORM DISCRETE FRACTIONAL GABOR EXPANSION. IU-Journal of Electrical & Electronics Engineering. 2011;4(1):1105-11.
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