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Robust signal recovery via ℓ1–2/ℓ푝 minimization with partially known support.
- Source :
-
Journal of Inverse & Ill-Posed Problems . Feb2023, Vol. 31 Issue 1, p65-76. 12p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study the robust recovery of signals for general noise by ℓ 1 - 2 / ℓ p ( 2 ≤ p < + ∞ ) minimization with partially known support (PKS). A recovery condition for ℓ 1 - 2 / ℓ p minimization by incorporating prior support information is established, and an error estimate is obtained. In particular, the obtained results not only provide a new theoretical guarantee to robustly recover signals for general noise, but also improve and generalize the state-of-the-art ones. In addition, a series of numerical experiments are carried out to confirm the validity of the proposed method, which show that incorporating prior support information for ℓ 1 - 2 / ℓ p minimization exhibits better recovery performance than ℓ 1 - 2 / ℓ p minimization. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ORTHOGONAL matching pursuit
*SIGNALS & signaling
*NOISE
Subjects
Details
- Language :
- English
- ISSN :
- 09280219
- Volume :
- 31
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inverse & Ill-Posed Problems
- Publication Type :
- Academic Journal
- Accession number :
- 161627253
- Full Text :
- https://doi.org/10.1515/jiip-2020-0049