Greed is Super: A Fast Algorithm for Super-Resolution

Armin Eftekhari, Michael B. Wakin

Research output: Working paper

Abstract

We present a fast two-phase algorithm for super-resolution with strong theoretical guarantees. Given the low-frequency part of the spectrum of a sequence of impulses, Phase I consists of a greedy algorithm that roughly estimates the impulse positions. These estimates are then refined by local optimization in Phase II.
In contrast to the convex relaxation proposed by Cand\`es et al., our approach has a low computational complexity but requires the impulses to be separated by an additional logarithmic factor to succeed. The backbone of our work is the fundamental work of Slepian et al. involving discrete prolate spheroidal wave functions and their unique properties.
Original languageEnglish
PublisherArXiv
Publication statusPublished - 11 Nov 2015

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