Average Sampling Theorems on Multidimensional Random Signals. (23rd August 2021)

• Record Type: Journal Article
• Authors: Song, Zhanjie; Zhang, Shuo
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 12(2021)
• Page Start: 1461
• Page End: 1487
• Publication Date: 2021-08-23
• Subjects: Average sampling -- multidimensional -- random signals -- rate of convergence -- sampling theorems; 60G60 -- 42C15 -- 94A20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1969949
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, a lower bounded of sequences on classical sampling theorem for random signals is given and is used to extend the applicable range of frame. The convergence property of sampling series, the estimate of truncation error both in mean square sense and for almost sure results on sampling theorem for multidimensional random signals from asymmetrical average sampling are analyzed. Using the new results on frames recently, the famous Shannon sampling theorem on multidimensional random signals has been extended with a new idea.