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Proceedings Paper

Learning-based low-rank Hankel structured matrix approach (Conference Presentation)
Author(s): Jong Chul Ye

Paper Abstract

In our recent theoretical work, we have provided a complete 1-D theory for restoring signals with finite rate of innovations (FRI) from sparse Fourier measurements using low-rank Fourier interpolation. In this work, we are expanding this theory for restoring common sparse signals where the singularity of the FRI signals is at the same position, while the unknown weights are different for each channel. We consider two situations: one for the same Fourier sampling pattern, which corresponds to the multiple measurement vector problems (MMV), and the other for different sampling patterns. We will derive performance guarantees: one for the algebraic guraantee and the other for probabilistic guarantee from randomly sampled Fourier measurements. We will discuss the relationship between the newly derived bounds and those of multiple signal classification (MUSIC) algorithm and single channel low-rank Fourier interpolation.

Paper Details

Date Published: 26 September 2017
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103941J (26 September 2017); doi: 10.1117/12.2275574
Show Author Affiliations
Jong Chul Ye, KAIST (Korea, Republic of)

Published in SPIE Proceedings Vol. 10394:
Wavelets and Sparsity XVII
Yue M. Lu; Dimitri Van De Ville; Manos Papadakis, Editor(s)

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