Sampling with Derivatives in Periodic Shift-Invariant Spaces. (29th September 2022)
- Record Type:
- Journal Article
- Title:
- Sampling with Derivatives in Periodic Shift-Invariant Spaces. (29th September 2022)
- Main Title:
- Sampling with Derivatives in Periodic Shift-Invariant Spaces
- Authors:
- Selvan, A. Antony
Ghosh, Riya - Abstract:
- Abstract: We study the sampling problem involving derivatives in periodic shift-invariant spaces. We provide a necessary and sufficient condition for periodic nonuniform stable sampling with derivatives, based on block circulant matrices. Additionally, we derive an iterative algorithm to reconstruct a function from its irregular samples involving derivatives.
- Is Part Of:
- Numerical functional analysis and optimization. Volume 43:Number 13(2022)
- Journal:
- Numerical functional analysis and optimization
- Issue:
- Volume 43:Number 13(2022)
- Issue Display:
- Volume 43, Issue 13 (2022)
- Year:
- 2022
- Volume:
- 43
- Issue:
- 13
- Issue Sort Value:
- 2022-0043-0013-0000
- Page Start:
- 1591
- Page End:
- 1615
- Publication Date:
- 2022-09-29
- Subjects:
- Circulant operators -- frames -- periodic shift-invariant spaces -- riesz bases -- stable sampling -- Zak transform
42C15 -- 94A20
Functional analysis -- Periodicals
Numerical analysis -- Periodicals
Mathematical optimization -- Periodicals
Numerical Analysis, Computer-Assisted
515.705 - Journal URLs:
- http://www.tandfonline.com/toc/lnfa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/01630563.2022.2114087 ↗
- Languages:
- English
- ISSNs:
- 0163-0563
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6184.692000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 24005.xml