Date: April 18, 2024
Speakers: Alex Iosevich
Title: An elementary perspective on exact signal recovery
Abstract: Consider a signal and suppose that it is sent via its Fourier transform. Suppose that some of the transmission is lost, in the sense that the some values are unobserved for some set. The question we ask is, can we still recover the original signal exactly. It turns out that under some reasonable assumptions on the size of and how sparse the original signal is, the answer to our question is affirmative. The talk will be completely self-contained and does not require any knowledge of mathematics beyond pre-calculus.