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of 657
pro vyhledávání: '"94A20"'
This paper extends the sample complexity theory for ill-posed inverse problems developed in a recent work by the authors [`Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform', J. Eur. Math. Soc., to appear
Externí odkaz:
http://arxiv.org/abs/2501.01929
Autor:
Trefethen, Lloyd N.
It is shown that a band-limited function bounded by 1 for negative x can grow arbitrarily fast for positive x.
Externí odkaz:
http://arxiv.org/abs/2501.00901
Autor:
Carbajal, Diana, Romero, José Luis
Integrate and fire is a resource efficient time-encoding mechanism that summarizes into a signed spike train those time intervals where a signal's charge exceeds a certain threshold. We analyze the IF encoder in terms of a very general notion of appr
Externí odkaz:
http://arxiv.org/abs/2412.12994
$D$-optimal designs originate in statistics literature as an approach for optimal experimental designs. In numerical analysis points and weights resulting from maximal determinants turned out to be useful for quadrature and interpolation. Also recent
Externí odkaz:
http://arxiv.org/abs/2412.02489
In this work, we investigate the sampling and reconstruction of spectrally $s$-sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time sampling regime, referred to as {randomized} dynamical sampling, wher
Externí odkaz:
http://arxiv.org/abs/2410.18005
Autor:
Accomazzo, Natalia, Carando, Daniel, Nores, Rocio, Paternostro, Victoria, Velazquez, Sebastian
We study the short-time Fourier transform phase retrieval problem in locally compact abelian groups. Using probabilistic methods, we show that for a large class of groups $G$ and compact subsets $K\subseteq G$ there exists a window function and a uni
Externí odkaz:
http://arxiv.org/abs/2410.13309
The Special Affine Fourier Transformation(SAFT), which generalizes several well-known unitary transformations, has been demonstrated as a valuable tool in signal processing and optics. In this paper, we explore the multivariate dynamical sampling pro
Externí odkaz:
http://arxiv.org/abs/2409.08506
Autor:
Zarucha, Hendrik Bernd, Jung, Peter
It is known that sparse recovery is possible if the number of measurements is in the order of the sparsity, but the corresponding decoders either lack polynomial decoding time or robustness to noise. Commonly, decoders that rely on a null space prope
Externí odkaz:
http://arxiv.org/abs/2409.00503
Recent findings by Jahn, T. Ullrich, Voigtlaender [10] relate non-linear sampling numbers for the square norm to quantities involving trigonometric best $m-$term approximation errors in the uniform norm. Here we establish new results for sparse trigo
Externí odkaz:
http://arxiv.org/abs/2407.15965
Autor:
Pollastri, Fabrizio
This paper presents a new time transfer system that works with any radio signal with sufficient bandwidth, regardless of its content and modulation, by adopting the common view approach. This system, based on a network client-server architecture with
Externí odkaz:
http://arxiv.org/abs/2406.13596