ORCID: https://orcid.org/0000-0003-3370-5528 und Kutyniok, Gitta
ORCID: https://orcid.org/0000-0001-9738-2487
(2018):
PROMP: A sparse recovery approach to lattice-valued signals.
In: Applied and Computational Harmonic Analysis, Bd. 45, Nr. 3: S. 668-708
Abstract
Applications such as wireless communications require efficient sensing techniques of signals with the a priori knowledge of those being lattice-valued. In this paper, we study the impact of this prior information on compressed sensing methodologies, and introduce and analyze PROMP (“PReprojected Orthogonal Matching Pursuit”) as a novel algorithmic approach for sparse recovery of lattice-valued signals. More precisely, we first show that the straightforward approach to project the solution of Basis Pursuit onto a prespecified lattice does not improve the performance of Basis Pursuit in this situation. We then introduce PROMP as a novel sparse recovery algorithm for lattice-valued signals which has very low computational complexity, alongside a detailed mathematical analysis of its performance and stability under noise. Finally, we present numerical experiments which show that PROMP outperforms standard sparse recovery approaches in the lattice-valued signal regime.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Mathematik, Informatik und Statistik > Mathematik > Professur für Mathematische Grundlagen des Verständnisses der künstlichen Intelligenz |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
ISSN: | 1063-5203 |
Sprache: | Englisch |
Dokumenten ID: | 126406 |
Datum der Veröffentlichung auf Open Access LMU: | 27. Mai 2025 10:54 |
Letzte Änderungen: | 27. Mai 2025 10:54 |