(Nearly) sample-optimal sparse fourier transform

We consider the problem of computing a k-sparse approximation to the discrete Fourier transform of an n-dimensional signal. Our main result is a randomized algorithm that computes such an approximation using O(k log n(log log n)[superscript O(1)]) signal samples in time O(k log[superscript 2] n(log...

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Bibliographic Details
Main Authors: Indyk, Piotr, Kapralov, Mikhail, Price, Eric C
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Association for Computing Machinery 2018
Online Access:http://hdl.handle.net/1721.1/114162
https://orcid.org/0000-0002-7983-9524