On the Uniqueness of the Sparse Signals Reconstruction Based on the Missing Samples Variation Analysis
Joint Authors
Stanković, Ljubiša
Daković, Miloš
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
An approach to sparse signals reconstruction considering its missing measurements/samples as variables is recently proposed.
Number and positions of missing samples determine the uniqueness of the solution.
It has been assumed that analyzed signals are sparse in the discrete Fourier transform (DFT) domain.
A theorem for simple uniqueness check is proposed.
Two forms of the theorem are presented, for an arbitrary sparse signal and for an already reconstructed signal.
The results are demonstrated on illustrative and statistical examples.
American Psychological Association (APA)
Stanković, Ljubiša& Daković, Miloš. 2015. On the Uniqueness of the Sparse Signals Reconstruction Based on the Missing Samples Variation Analysis. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074335
Modern Language Association (MLA)
Stanković, Ljubiša& Daković, Miloš. On the Uniqueness of the Sparse Signals Reconstruction Based on the Missing Samples Variation Analysis. Mathematical Problems in Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1074335
American Medical Association (AMA)
Stanković, Ljubiša& Daković, Miloš. On the Uniqueness of the Sparse Signals Reconstruction Based on the Missing Samples Variation Analysis. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074335