Publication Details

Introduction to Compressive Sampling

HRBÁČEK Radek. Introduction to Compressive Sampling. In: Proceedings of the 17th Conference STUDENT EEICT 2011 Volume 1. Brno: NOVPRESS s.r.o., 2011, pp. 45-47. ISBN 978-80-214-4271-9. Available from: http://www.feec.vutbr.cz/EEICT/2011/sbornik/01-Bakalarske%20projekty/02-Zpracovani%20signalu,%20obrazu%20a%20dat/02-xhrbac01.pdf
English title
Introduction to Compressive Sampling
Type
conference paper
Language
czech
Authors
Hrbáček Radek, Ing. (DCSY FIT BUT)
URL
Keywords

signal and image processing, Nyquist theorem, compressive sampling, l1-optimization

Abstract
The Nyquist theorem is the main pillar of the traditional digital signal processing approach. It states that the sampling rate must be at least twice the maximum frequency present in the signal to guarantee perfect signal reconstruction from the sequence of its samples. In practice, we often compress the signal right after the sampling process to reduce the data size - so the irrelevant part of the information is immediately discarded. The novel compressive sampling approach is not limited
to the frequency domain, it provides a new look on the signal by using an arbitrary basis. If we find a basis in which the signal is sparse, it is possible to take a small number of samples and reconstruct the signal successfully (i.e. further compression is not necessary).
Published
2011
Pages
45-47
Proceedings
Proceedings of the 17th Conference STUDENT EEICT 2011 Volume 1
Conference
Student EEICT 2011, Brno, CZ
ISBN
978-80-214-4271-9
Publisher
NOVPRESS s.r.o.
Place
Brno, CZ
BibTeX 
@INPROCEEDINGS{FITPUB10429,
   author = "Radek Hrb\'{a}\v{c}ek",
   title = "Introduction to Compressive Sampling",
   pages = "45--47",
   booktitle = "Proceedings of the 17th Conference STUDENT EEICT 2011 Volume 1",
   year = 2011,
   location = "Brno, CZ",
   publisher = "NOVPRESS s.r.o.",
   ISBN = "978-80-214-4271-9",
   language = "czech",
   url = "https://www.fit.vut.cz/research/publication/10429"
}
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