Sampling and Reconstruction via Frames: From Theory to Applications

Authors

  • Ankush Kumar Garg Department of Mathematics & Statistics, Banasthali University, Banasthali-304022, India Author

Keywords:

Frame theory, sampling and reconstruction, shift-invariant spaces

Abstract

In this talk, we study sampling and reconstruction in shift-invariant spaces using frame-theoretic methods, including convolution and average sampling schemes. Random average sampling is analyzed via probabilistic techniques, yielding sampling inequalities and stable reconstruction results, along with selected applications.

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Published

2026-01-20

Issue

Vol. 8 No. 1 (2026): Abstracts of International Conference on Advances in Multidisciplinary Sciences and Engineering 2026

Section

Abstracts

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How to Cite

[1]
A. K. Garg, “Sampling and Reconstruction via Frames: From Theory to Applications”, AIJR Abs., vol. 8, no. 1, p. 134, Jan. 2026, Accessed: Jun. 15, 2026. [Online]. Available: https://abstracts.aijr.org/index.php/abs/article/view/268