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Decimated Prony's method for stable super-resolution
We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency
samples. This problem is known as super-resolution under sparsity constraints and has …
samples. This problem is known as super-resolution under sparsity constraints and has …
Regular sparse array direction of arrival estimation in one dimension
Traditionally, regularly spaced antenna arrays follow the spatial Nyquist criterion to
guarantee an unambiguous analysis. We present a novel technique that makes use of two …
guarantee an unambiguous analysis. We present a novel technique that makes use of two …
A convex approach to superresolution and regularization of lines in images
We present a new convex formulation for the problem of recovering lines in degraded
images. Following the recent paradigm of superresolution, we formulate a dedicated atomic …
images. Following the recent paradigm of superresolution, we formulate a dedicated atomic …
Separation-free spectral super-resolution via convex optimization
Z Yang, YL Mo, Z Xu - Applied and Computational Harmonic Analysis, 2024 - Elsevier
Atomic norm methods have recently been proposed for spectral super-resolution with
flexibility in dealing with missing data and miscellaneous noises. A notorious drawback of …
flexibility in dealing with missing data and miscellaneous noises. A notorious drawback of …
Characterising the electric field ripple in reflector antennas using sub-sampled exponential analysis
RM Weideman, A Cuyt… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Reflector antennas often exhibit frequency ripples in key performance metrics, including
aperture efficiency and antenna noise temperature. These ripples stem from corresponding …
aperture efficiency and antenna noise temperature. These ripples stem from corresponding …
Characterising the frequency ripple in antenna noise temperature using exponential analysis
RM Weideman, A Cuyt… - … on Electromagnetics in …, 2023 - ieeexplore.ieee.org
This paper presents a method for characterising the ripple observed in the antenna noise
temperature of reflector systems as a function of operating frequency. The ripple, which is …
temperature of reflector systems as a function of operating frequency. The ripple, which is …
CAD-based design optimization of four-bar mechanisms: an emergency ventilator case study
The design optimization of mechanisms is promising as it results in more energy-efficient
machines without compromising performance. However, machine builders do not apply …
machines without compromising performance. However, machine builders do not apply …
Sparse Linear Array Synthesis Using Exponential Analysis
R Sengupta, A Cuyt, DS Prinsloo… - … IEEE Conference on …, 2023 - ieeexplore.ieee.org
This paper presents an exponential analysis technique for synthesizing a sparse non-
uniform linear array using equidistant samples of the array factor of a dense uniform linear …
uniform linear array using equidistant samples of the array factor of a dense uniform linear …
Decomposing textures using exponential analysis
Decomposition is integral to most image processing algorithms and often required in texture
analysis. We present a new approach using a recent 2-dimensional exponential analysis …
analysis. We present a new approach using a recent 2-dimensional exponential analysis …
Selecting Optimal Sampling Rate for Stable Super-Resolution
N Diab - arxiv preprint arxiv:2502.06673, 2025 - arxiv.org
We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike
train signals, also known as the super-resolution (SR) problem. When the node separation …
train signals, also known as the super-resolution (SR) problem. When the node separation …