Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals

Daniel H. Chae; Parastoo Sadeghi; Rodney A. Kennedy

doi:10.1109/ICFCC.2010.5497605

Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals

Daniel H. Chae, Parastoo Sadeghi, Rodney A. Kennedy

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

52 Citations (Scopus)

Abstract

The theory of compressive sampling (or compressed sensing) is very attractive in that it is possible to reconstruct some signals with a sub-Nyquist sampling rate provided that they are sparse in some basis domain. But if there exists a mismatch between the signal basis and the pre-defined reconstruction basis, the reconstruction performance is significantly degraded even if the signal is sparse enough. In this paper, the degradation due to this basis mismatch is investigated and a way to minimize the effects of basis mismatch in compressive sampling of continuous sinusoidal signals is discussed.

Original language	English
Title of host publication	Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010
Pages	V2739-V2743
DOIs	https://doi.org/10.1109/ICFCC.2010.5497605
Publication status	Published - 2010
Event	2010 2nd International Conference on Future Computer and Communication, ICFCC 2010 - Wuhan, China Duration: 21 May 2010 → 24 May 2010

Publication series

Name	Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010
Volume	2

Conference

Conference	2010 2nd International Conference on Future Computer and Communication, ICFCC 2010
Country/Territory	China
City	Wuhan
Period	21/05/10 → 24/05/10

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10.1109/ICFCC.2010.5497605

Cite this

Chae, D. H., Sadeghi, P., & Kennedy, R. A. (2010). Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals. In Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010 (pp. V2739-V2743). Article 5497605 (Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010; Vol. 2). https://doi.org/10.1109/ICFCC.2010.5497605

Chae, Daniel H. ; Sadeghi, Parastoo ; Kennedy, Rodney A. / Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals. Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010. 2010. pp. V2739-V2743 (Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010).

@inproceedings{0eb55186975347608431c2933b305c41,

title = "Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals",

abstract = "The theory of compressive sampling (or compressed sensing) is very attractive in that it is possible to reconstruct some signals with a sub-Nyquist sampling rate provided that they are sparse in some basis domain. But if there exists a mismatch between the signal basis and the pre-defined reconstruction basis, the reconstruction performance is significantly degraded even if the signal is sparse enough. In this paper, the degradation due to this basis mismatch is investigated and a way to minimize the effects of basis mismatch in compressive sampling of continuous sinusoidal signals is discussed.",

author = "Chae, \{Daniel H.\} and Parastoo Sadeghi and Kennedy, \{Rodney A.\}",

year = "2010",

doi = "10.1109/ICFCC.2010.5497605",

language = "English",

isbn = "9781424458226",

series = "Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010",

pages = "V2739--V2743",

booktitle = "Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010",

note = "2010 2nd International Conference on Future Computer and Communication, ICFCC 2010 ; Conference date: 21-05-2010 Through 24-05-2010",

}

Chae, DH, Sadeghi, P & Kennedy, RA 2010, Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals. in Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010., 5497605, Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010, vol. 2, pp. V2739-V2743, 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010, Wuhan, China, 21/05/10. https://doi.org/10.1109/ICFCC.2010.5497605

Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals. / Chae, Daniel H.; Sadeghi, Parastoo; Kennedy, Rodney A.
Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010. 2010. p. V2739-V2743 5497605 (Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010; Vol. 2).

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

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T1 - Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals

AU - Chae, Daniel H.

AU - Sadeghi, Parastoo

AU - Kennedy, Rodney A.

PY - 2010

Y1 - 2010

N2 - The theory of compressive sampling (or compressed sensing) is very attractive in that it is possible to reconstruct some signals with a sub-Nyquist sampling rate provided that they are sparse in some basis domain. But if there exists a mismatch between the signal basis and the pre-defined reconstruction basis, the reconstruction performance is significantly degraded even if the signal is sparse enough. In this paper, the degradation due to this basis mismatch is investigated and a way to minimize the effects of basis mismatch in compressive sampling of continuous sinusoidal signals is discussed.

AB - The theory of compressive sampling (or compressed sensing) is very attractive in that it is possible to reconstruct some signals with a sub-Nyquist sampling rate provided that they are sparse in some basis domain. But if there exists a mismatch between the signal basis and the pre-defined reconstruction basis, the reconstruction performance is significantly degraded even if the signal is sparse enough. In this paper, the degradation due to this basis mismatch is investigated and a way to minimize the effects of basis mismatch in compressive sampling of continuous sinusoidal signals is discussed.

UR - https://www.scopus.com/pages/publications/78049341904

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DO - 10.1109/ICFCC.2010.5497605

M3 - Conference Paper

SN - 9781424458226

T3 - Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010

SP - V2739-V2743

BT - Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010

T2 - 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010

Y2 - 21 May 2010 through 24 May 2010

ER -

Chae DH, Sadeghi P, Kennedy RA. Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals. In Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010. 2010. p. V2739-V2743. 5497605. (Proceedings of the 2010 2nd International Conference on Future Computer and Communication, ICFCC 2010). doi: 10.1109/ICFCC.2010.5497605

Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals

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