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Harmonic retrieval ...
Harmonic retrieval using weighted lifted-structure low-rank matrix completion
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- Bokaei, Mohammad (författare)
- Electrical Engineering Department, Sharif University of Technology, Iran; Department of Electronic Systems, Aalborg university, Denmark
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- Razavikia, Saeed (författare)
- KTH,Nätverk och systemteknik,Electrical Engineering Department, Sharif University of Technology, Iran
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- Rini, Stefano (författare)
- Electrical and Computer Engineering Department, National Yang-Ming Chao-Tung University (NYCU), Taiwan
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- Amini, Arash (författare)
- Electrical Engineering Department, Sharif University of Technology, Iran
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- Behrouzi, Hamid (författare)
- Electrical Engineering Department, Sharif University of Technology, Iran
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(creator_code:org_t)
- Elsevier BV, 2024
- 2024
- Engelska.
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Ingår i: Signal Processing. - : Elsevier BV. - 0165-1684 .- 1872-7557. ; 216
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In this paper, we investigate the problem of recovering the frequency components of a mixture of K complex sinusoids from a random subset of N equally-spaced time-domain samples. Because of the random subset, the samples are effectively non-uniform. Besides, the frequency values of each of the K complex sinusoids are assumed to vary continuously within a given range. For this problem, we propose a two-step strategy: (i) we first lift the incomplete set of uniform samples (unavailable samples are treated as missing data) into a structured matrix with missing entries, which is potentially low-rank; then (ii) we complete the matrix using a weighted nuclear minimization problem. We call the method a weighted lifted-structured (WLi) low-rank matrix recovery. Our approach can be applied to a range of matrix structures such as Hankel and double-Hankel, among others, and provides improvement over the unweighted existing schemes such as EMaC and DEMaC. We provide theoretical guarantees for the proposed method, as well as numerical simulations in both noiseless and noisy settings. Both the theoretical and the numerical results confirm the superiority of the proposed approach.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
Nyckelord
- Hankel structure
- Lifting operator
- Low-rank matrix completion
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- art (ämneskategori)
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