Issue |
MATEC Web of Conferences
Volume 22, 2015
International Conference on Engineering Technology and Application (ICETA 2015)
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Article Number | 01047 | |
Number of page(s) | 5 | |
Section | Information and Communication Technology | |
DOI | https://doi.org/10.1051/matecconf/20152201047 | |
Published online | 09 July 2015 |
Construction of Deterministic Measurements Matrix Using Decimated Legendre Sequences
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China
* Corresponding author: cxhanzel@126.com
This paper proposed and constructed a new class of deterministic measurements matrix by using decimated binary Legendre sequences for convolutional Compressed Sensing. The author proves that when the measurement matrix is constructed by a random subsampling, it can offer a stable sparse reconstruction. Besides, the simulation results shows that when a deterministic subsampler is used, the proposed matrix can also guarantee the stable reconstruction as good as random Gaussian or Bernoulli matrixes do, which are commonly used in CS.
Key words: convolutional compressed sensing / Legendre sequences / RIP / coherence
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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