Framework of compressive sampling with its applications to one- and two-dimensional signals

Rachit Patel; Prabhat Thakur; Sapna Katiyar

doi:10.1007/978-981-10-0767-5_2

Framework of compressive sampling with its applications to one- and two-dimensional signals

Rachit Patel, Prabhat Thakur, Sapna Katiyar

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

1 Citation (Scopus)

Abstract

Compressive sampling emerged as a very useful random protocol and has become an active research area for almost a decade. Compressive sampling allows us to sample a signal below Shannon Nyquist rate and assures its successful reconstruction with some limitations on signal, that is, signal should be sparse in some domain. In this paper, we have used compressive sampling for an arbitrary one-dimensional signal and two-dimensional image signal compression and successfully reconstructed them by solving L1-norm optimization problems. We also have showed that compressive sampling can be implemented if a signal is sparse and incoherent through simulations. Further, we have analyzed the effect of noise on the recovery.

Original language	English
Title of host publication	Proceedings of the International Congress on Information and Communication Technology, ICICT 2015
Editors	Durgesh Kumar Mishra, Suresh Chandra Satapathy, Yogesh Chandra Bhatt, Amit Joshi
Publisher	Springer Verlag
Pages	11-20
Number of pages	10
ISBN (Print)	9789811007668
DOIs	https://doi.org/10.1007/978-981-10-0767-5_2
Publication status	Published - 2016
Externally published	Yes
Event	International Congress on Information and Communication Technology, ICICT 2015 - Udaipur, India Duration: 9 Oct 2015 → 10 Oct 2015

Publication series

Name	Advances in Intelligent Systems and Computing
Volume	438
ISSN (Print)	2194-5357

Conference

Conference	International Congress on Information and Communication Technology, ICICT 2015
Country/Territory	India
City	Udaipur
Period	9/10/15 → 10/10/15

Keywords

Basis function
Compressive sampling
Incoherent signal
L1-norm
Sparse signal

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science

Access to Document

10.1007/978-981-10-0767-5_2

Cite this

Patel, R., Thakur, P., & Katiyar, S. (2016). Framework of compressive sampling with its applications to one- and two-dimensional signals. In D. K. Mishra, S. C. Satapathy, Y. C. Bhatt, & A. Joshi (Eds.), Proceedings of the International Congress on Information and Communication Technology, ICICT 2015 (pp. 11-20). (Advances in Intelligent Systems and Computing; Vol. 438). Springer Verlag. https://doi.org/10.1007/978-981-10-0767-5_2

Patel, Rachit ; Thakur, Prabhat ; Katiyar, Sapna. / Framework of compressive sampling with its applications to one- and two-dimensional signals. Proceedings of the International Congress on Information and Communication Technology, ICICT 2015. editor / Durgesh Kumar Mishra ; Suresh Chandra Satapathy ; Yogesh Chandra Bhatt ; Amit Joshi. Springer Verlag, 2016. pp. 11-20 (Advances in Intelligent Systems and Computing).

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author = "Rachit Patel and Prabhat Thakur and Sapna Katiyar",

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Patel, R, Thakur, P & Katiyar, S 2016, Framework of compressive sampling with its applications to one- and two-dimensional signals. in DK Mishra, SC Satapathy, YC Bhatt & A Joshi (eds), Proceedings of the International Congress on Information and Communication Technology, ICICT 2015. Advances in Intelligent Systems and Computing, vol. 438, Springer Verlag, pp. 11-20, International Congress on Information and Communication Technology, ICICT 2015, Udaipur, India, 9/10/15. https://doi.org/10.1007/978-981-10-0767-5_2

Framework of compressive sampling with its applications to one- and two-dimensional signals. / Patel, Rachit; Thakur, Prabhat; Katiyar, Sapna.
Proceedings of the International Congress on Information and Communication Technology, ICICT 2015. ed. / Durgesh Kumar Mishra; Suresh Chandra Satapathy; Yogesh Chandra Bhatt; Amit Joshi. Springer Verlag, 2016. p. 11-20 (Advances in Intelligent Systems and Computing; Vol. 438).

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

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Patel R, Thakur P, Katiyar S. Framework of compressive sampling with its applications to one- and two-dimensional signals. In Mishra DK, Satapathy SC, Bhatt YC, Joshi A, editors, Proceedings of the International Congress on Information and Communication Technology, ICICT 2015. Springer Verlag. 2016. p. 11-20. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-981-10-0767-5_2

Framework of compressive sampling with its applications to one- and two-dimensional signals

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Keywords

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