Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi

Sultan Aldirmaz; Lütfiye Durak-Ata

doi:10.1109/SIU.2011.5929758

Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi

Translated title of the contribution: Compressive sensing of linear frequency modulated signals in fractional Fourier domains

Sultan Aldirmaz^*, Lütfiye Durak-Ata

^*Corresponding author for this work

Yildiz Technical University

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

2 Citations (Scopus)

Abstract

Compressive sensing is a new technique that allows sampling at very low rates compared to the Nyquist sampling rate, if the signal is sparse. Thus the signal should either be sparse in time domain or we should be able to determine any domain in which the signal is represented sparsely. In the reconstruction process, the signal is reconstructed by using linear projections of itself in an iterative way rather than using all samples of the signal. In this paper, multi-component linear frequency modulated (LFM) signals that are highly dense in time and frequency domains, are transformed into fractional Fourier domains in order to form sparse representations. Then, it is shown that by using compressive sensing in fractional Fourier domains, LFM signals can be represented almost by half of their lengths with high accuracy.

Translated title of the contribution	Compressive sensing of linear frequency modulated signals in fractional Fourier domains
Original language	Turkish
Title of host publication	2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011
Pages	742-745
Number of pages	4
DOIs	https://doi.org/10.1109/SIU.2011.5929758
Publication status	Published - 2011
Externally published	Yes
Event	2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011 - Antalya, Turkey Duration: 20 Apr 2011 → 22 Apr 2011

Publication series

Name	2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011

Conference

Conference	2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011
Country/Territory	Turkey
City	Antalya
Period	20/04/11 → 22/04/11

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10.1109/SIU.2011.5929758

Cite this

Aldirmaz, S., & Durak-Ata, L. (2011). Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi. In 2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011 (pp. 742-745). Article 5929758 (2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011). https://doi.org/10.1109/SIU.2011.5929758

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title = "Doǧrusal frekans kiplemeli {\.i}{\c s}aretlerin kesirli Fourier b{\"o}lgesinde siki{\c s}tirilabilir algilamasi",

abstract = "Compressive sensing is a new technique that allows sampling at very low rates compared to the Nyquist sampling rate, if the signal is sparse. Thus the signal should either be sparse in time domain or we should be able to determine any domain in which the signal is represented sparsely. In the reconstruction process, the signal is reconstructed by using linear projections of itself in an iterative way rather than using all samples of the signal. In this paper, multi-component linear frequency modulated (LFM) signals that are highly dense in time and frequency domains, are transformed into fractional Fourier domains in order to form sparse representations. Then, it is shown that by using compressive sensing in fractional Fourier domains, LFM signals can be represented almost by half of their lengths with high accuracy.",

author = "Sultan Aldirmaz and L{\"u}tfiye Durak-Ata",

year = "2011",

doi = "10.1109/SIU.2011.5929758",

language = "T{\"u}rk{\c c}e",

isbn = "9781457704635",

series = "2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011",

pages = "742--745",

booktitle = "2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011",

note = "2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011 ; Conference date: 20-04-2011 Through 22-04-2011",

}

Aldirmaz, S & Durak-Ata, L 2011, Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi. in 2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011., 5929758, 2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011, pp. 742-745, 2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011, Antalya, Turkey, 20/04/11. https://doi.org/10.1109/SIU.2011.5929758

Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi. / Aldirmaz, Sultan; Durak-Ata, Lütfiye.
2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011. 2011. p. 742-745 5929758 (2011 IEEE 19th Signal Processing and Communications Applications Conference, SIU 2011).

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

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AB - Compressive sensing is a new technique that allows sampling at very low rates compared to the Nyquist sampling rate, if the signal is sparse. Thus the signal should either be sparse in time domain or we should be able to determine any domain in which the signal is represented sparsely. In the reconstruction process, the signal is reconstructed by using linear projections of itself in an iterative way rather than using all samples of the signal. In this paper, multi-component linear frequency modulated (LFM) signals that are highly dense in time and frequency domains, are transformed into fractional Fourier domains in order to form sparse representations. Then, it is shown that by using compressive sensing in fractional Fourier domains, LFM signals can be represented almost by half of their lengths with high accuracy.

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Doǧrusal frekans kiplemeli i̇şaretlerin kesirli Fourier bölgesinde sikiştirilabilir algilamasi

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