On nonuniform sampling of bandlimited signals associated with the fractional fourier transform

George Kwamina Aggrey; Ran Tao; Bing Zhao Li; Yue Wang

doi:10.1109/ICICIC.2008.398

On nonuniform sampling of bandlimited signals associated with the fractional fourier transform

George Kwamina Aggrey, Ran Tao, Bing Zhao Li, Yue Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

The uniform sampling theorem and the reconstruction formulae associated with the fractional Fourier transform (FrFT) have been deduced in the literature, but the nonuniform sampling is yet to receive attention in the fractional Fourier domain. This paper focus on a special kind of non-uniform sampling process associated with the fractional Fourier transform. A nonuniform sampling model is first introduced and then, based on a useful lemma, the reconstruction formula for the nonuniform sampled signal points associated with the fractional Fourier transform is deduced. In addition, the classical results in the Fourier domain can be seen as a special case of our work.

Original language	English
Title of host publication	3rd International Conference on Innovative Computing Information and Control, ICICIC'08
DOIs	https://doi.org/10.1109/ICICIC.2008.398
Publication status	Published - 2008
Event	3rd International Conference on Innovative Computing Information and Control, ICICIC'08 - Dalian, Liaoning, China Duration: 18 Jun 2008 → 20 Jun 2008

Publication series

Name	3rd International Conference on Innovative Computing Information and Control, ICICIC'08

Conference

Conference	3rd International Conference on Innovative Computing Information and Control, ICICIC'08
Country/Territory	China
City	Dalian, Liaoning
Period	18/06/08 → 20/06/08

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10.1109/ICICIC.2008.398

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Aggrey, G. K., Tao, R., Li, B. Z., & Wang, Y. (2008). On nonuniform sampling of bandlimited signals associated with the fractional fourier transform. In 3rd International Conference on Innovative Computing Information and Control, ICICIC'08 Article 4603580 (3rd International Conference on Innovative Computing Information and Control, ICICIC'08). https://doi.org/10.1109/ICICIC.2008.398

@inproceedings{58e37c1a63394be296e166b04ce909fe,

title = "On nonuniform sampling of bandlimited signals associated with the fractional fourier transform",

abstract = "The uniform sampling theorem and the reconstruction formulae associated with the fractional Fourier transform (FrFT) have been deduced in the literature, but the nonuniform sampling is yet to receive attention in the fractional Fourier domain. This paper focus on a special kind of non-uniform sampling process associated with the fractional Fourier transform. A nonuniform sampling model is first introduced and then, based on a useful lemma, the reconstruction formula for the nonuniform sampled signal points associated with the fractional Fourier transform is deduced. In addition, the classical results in the Fourier domain can be seen as a special case of our work.",

author = "Aggrey, {George Kwamina} and Ran Tao and Li, {Bing Zhao} and Yue Wang",

year = "2008",

doi = "10.1109/ICICIC.2008.398",

language = "English",

isbn = "9780769531618",

series = "3rd International Conference on Innovative Computing Information and Control, ICICIC'08",

booktitle = "3rd International Conference on Innovative Computing Information and Control, ICICIC'08",

note = "3rd International Conference on Innovative Computing Information and Control, ICICIC'08 ; Conference date: 18-06-2008 Through 20-06-2008",

}

Aggrey, GK, Tao, R , Li, BZ & Wang, Y 2008, On nonuniform sampling of bandlimited signals associated with the fractional fourier transform. in 3rd International Conference on Innovative Computing Information and Control, ICICIC'08., 4603580, 3rd International Conference on Innovative Computing Information and Control, ICICIC'08, 3rd International Conference on Innovative Computing Information and Control, ICICIC'08, Dalian, Liaoning, China, 18/06/08. https://doi.org/10.1109/ICICIC.2008.398

On nonuniform sampling of bandlimited signals associated with the fractional fourier transform. / Aggrey, George Kwamina; Tao, Ran ; Li, Bing Zhao et al.
3rd International Conference on Innovative Computing Information and Control, ICICIC'08. 2008. 4603580 (3rd International Conference on Innovative Computing Information and Control, ICICIC'08).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Tao, Ran

AU - Li, Bing Zhao

AU - Wang, Yue

PY - 2008

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N2 - The uniform sampling theorem and the reconstruction formulae associated with the fractional Fourier transform (FrFT) have been deduced in the literature, but the nonuniform sampling is yet to receive attention in the fractional Fourier domain. This paper focus on a special kind of non-uniform sampling process associated with the fractional Fourier transform. A nonuniform sampling model is first introduced and then, based on a useful lemma, the reconstruction formula for the nonuniform sampled signal points associated with the fractional Fourier transform is deduced. In addition, the classical results in the Fourier domain can be seen as a special case of our work.

AB - The uniform sampling theorem and the reconstruction formulae associated with the fractional Fourier transform (FrFT) have been deduced in the literature, but the nonuniform sampling is yet to receive attention in the fractional Fourier domain. This paper focus on a special kind of non-uniform sampling process associated with the fractional Fourier transform. A nonuniform sampling model is first introduced and then, based on a useful lemma, the reconstruction formula for the nonuniform sampled signal points associated with the fractional Fourier transform is deduced. In addition, the classical results in the Fourier domain can be seen as a special case of our work.

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Y2 - 18 June 2008 through 20 June 2008

ER -

On nonuniform sampling of bandlimited signals associated with the fractional fourier transform

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