Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4974146 | Journal of the Franklin Institute | 2017 | 17 Pages |
Abstract
The paper concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by â1 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Agnieszka BadeÅska, Åukasz BÅaszczyk,