Atomic norm minimization for decomposition into complex exponentials and optimal transport in Fourier domain

Laurent Condat

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is devoted to the decomposition of vectors into sampled complex exponentials; or, equivalently, to the information over discrete measures captured in a finite sequence of their Fourier coefficients. We study existence, uniqueness, and cardinality properties, as well as computational aspects of estimation using convex semidefinite programs. We then explore optimal transport between measures, of which only a finite sequence of Fourier coefficients is known.
Original languageEnglish (US)
Pages (from-to)105456
JournalJournal of Approximation Theory
Volume258
DOIs
StatePublished - Jul 13 2020

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