چکیده مقاله
In this paper, we explore the concept of K frames, which are fundamentalstructures in frame theory widely used in signal processing and image reconstruction Webegin by discussing equivalent characterizations for K frames, highlighting their connec tions to atomic systems and Bessel sequences We then introduce the notion of K dualframes and define perturbations of K frames Our main result is a theorem characterizing perturbations of K frames We establishconditions under which a perturbed K frame remains a K frame, providing bounds forthe perturbed frame and demonstrating its stability This paper contributes to a deeper understanding of the stability and robustness ofK frames under perturbations, offering valuable insights for their application in variousfields, including signal processing and image reconstruction
کلیدواژهها
نویسندگان
Mahdi Choubin
Department of Mathematics, Velayat University, Iranshahr, Iran
شیوه ارجاع
Choubin, Mahdi,1402,Studying Perturbations of K-Frames,3 rd National Conference on Soft Computing of Engineering Science in Industry and Society,Iranshahr
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