Geometric properties of Gabor frames with a random window

Palina Salanevich; Götz E. Pfander

doi:10.1109/SAMPTA.2017.8024460

Geometric properties of Gabor frames with a random window

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

Abstract

In this paper we address various geometric properties of frames, such as spark, coherence, restricted isometry property, and frame order statistics. These properties play crucial role in various signal processing problems, including compressive sensing, phase retrieval, and quantization. We focus on a particular case of structured frames, namely on Gabor frames, where frame vectors are time and frequency shifts of a random window, and show that geometric properties of Gabor frames are close to optimum, which is usually demonstrated by Gaussian frames with independent vectors.

Original language	English
Title of host publication	2017 12th International Conference on Sampling Theory and Applications, SampTA 2017
Editors	Gholamreza Anbarjafari, Andi Kivinukk, Gert Tamberg
Publisher	IEEE
Pages	183-187
Number of pages	5
ISBN (Electronic)	9781538615652
DOIs	https://doi.org/10.1109/SAMPTA.2017.8024460
Publication status	Published - 1 Sept 2017
Externally published	Yes
Event	12th International Conference on Sampling Theory and Applications, SampTA 2017 - Tallinn, Estonia Duration: 3 Jul 2017 → 7 Jul 2017

Conference

Conference	12th International Conference on Sampling Theory and Applications, SampTA 2017
Country/Territory	Estonia
City	Tallinn
Period	3/07/17 → 7/07/17

Access to Document

10.1109/SAMPTA.2017.8024460

Cite this

@inproceedings{98fce1ff451f4e1cb8b4035f1a77da69,

title = "Geometric properties of Gabor frames with a random window",

abstract = "In this paper we address various geometric properties of frames, such as spark, coherence, restricted isometry property, and frame order statistics. These properties play crucial role in various signal processing problems, including compressive sensing, phase retrieval, and quantization. We focus on a particular case of structured frames, namely on Gabor frames, where frame vectors are time and frequency shifts of a random window, and show that geometric properties of Gabor frames are close to optimum, which is usually demonstrated by Gaussian frames with independent vectors.",

author = "Palina Salanevich and Pfander, {G{\"o}tz E.}",

year = "2017",

month = sep,

day = "1",

doi = "10.1109/SAMPTA.2017.8024460",

language = "English",

pages = "183--187",

editor = "Gholamreza Anbarjafari and Andi Kivinukk and Gert Tamberg",

booktitle = "2017 12th International Conference on Sampling Theory and Applications, SampTA 2017",

publisher = "IEEE",

address = "United States",

note = "12th International Conference on Sampling Theory and Applications, SampTA 2017 ; Conference date: 03-07-2017 Through 07-07-2017",

}

Salanevich, P & Pfander, GE 2017, Geometric properties of Gabor frames with a random window. in G Anbarjafari, A Kivinukk & G Tamberg (eds), 2017 12th International Conference on Sampling Theory and Applications, SampTA 2017., 8024460, IEEE, pp. 183-187, 12th International Conference on Sampling Theory and Applications, SampTA 2017, Tallinn, Estonia, 3/07/17. https://doi.org/10.1109/SAMPTA.2017.8024460

Geometric properties of Gabor frames with a random window. / Salanevich, Palina; Pfander, Götz E.
2017 12th International Conference on Sampling Theory and Applications, SampTA 2017. ed. / Gholamreza Anbarjafari; Andi Kivinukk; Gert Tamberg. IEEE, 2017. p. 183-187 8024460.

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

TY - GEN

T1 - Geometric properties of Gabor frames with a random window

AU - Salanevich, Palina

AU - Pfander, Götz E.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In this paper we address various geometric properties of frames, such as spark, coherence, restricted isometry property, and frame order statistics. These properties play crucial role in various signal processing problems, including compressive sensing, phase retrieval, and quantization. We focus on a particular case of structured frames, namely on Gabor frames, where frame vectors are time and frequency shifts of a random window, and show that geometric properties of Gabor frames are close to optimum, which is usually demonstrated by Gaussian frames with independent vectors.

AB - In this paper we address various geometric properties of frames, such as spark, coherence, restricted isometry property, and frame order statistics. These properties play crucial role in various signal processing problems, including compressive sensing, phase retrieval, and quantization. We focus on a particular case of structured frames, namely on Gabor frames, where frame vectors are time and frequency shifts of a random window, and show that geometric properties of Gabor frames are close to optimum, which is usually demonstrated by Gaussian frames with independent vectors.

UR - http://www.scopus.com/inward/record.url?scp=85031703833&partnerID=8YFLogxK

U2 - 10.1109/SAMPTA.2017.8024460

DO - 10.1109/SAMPTA.2017.8024460

M3 - Conference contribution

AN - SCOPUS:85031703833

SP - 183

EP - 187

BT - 2017 12th International Conference on Sampling Theory and Applications, SampTA 2017

A2 - Anbarjafari, Gholamreza

A2 - Kivinukk, Andi

A2 - Tamberg, Gert

PB - IEEE

T2 - 12th International Conference on Sampling Theory and Applications, SampTA 2017

Y2 - 3 July 2017 through 7 July 2017

ER -

Geometric properties of Gabor frames with a random window

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this