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Compressed sensing for real measurements of quaternion signals.
- Source :
-
Journal of the Franklin Institute . Sep2017, Vol. 354 Issue 13, p5753-5769. 17p. - Publication Year :
- 2017
-
Abstract
- The paper concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct – by ℓ 1 norm minimization – a sparse quaternion signal from a limited number of its real linear measurements, provided the measurement matrix satisfies so-called restricted isometry property with a sufficiently small constant. We also provide error estimates for the approximated reconstruction of a non-sparse quaternion signal from noisy and noiseless data. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPRESSED sensing
*SIGNAL sampling
*NOISE
*SAMPLING errors
*SIGNAL processing
Subjects
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 354
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 124321824
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2017.06.004