Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Pfander, Goetz E."'
Autor:
Krishtal, Ilya A., Pfander, Götz E.
We show that the classical Prony's method for recovery of a sparse signal from its consecutive Fourier coefficients can be viewed as a spectral identification problem for an unknown restriction of a known linear operator. This presents a unified poin
Externí odkaz:
http://arxiv.org/abs/2403.18966
We consider tilings $(\mathcal{Q},\Phi)$ of $\mathbb{R}^d$ where $\mathcal{Q}$ is the $d$-dimensional unit cube and the set of translations $\Phi$ is constrained to lie in a pre-determined lattice $A \mathbb{Z}^d$ in $\mathbb{R}^d$. We provide a full
Externí odkaz:
http://arxiv.org/abs/2403.07411
The existence of a Fourier basis with frequencies in $\mathbb{R}^d$ for the space of square integrable functions supported on a given parallelepiped in $\mathbb{R}^d$, has been well understood since the 1950s. In a companion paper, we derived necessa
Externí odkaz:
http://arxiv.org/abs/2401.08042
The complex exponentials with integer frequencies form a basis for the space of square integrable functions on the unit interval. We analyze whether the basis property is maintained if the support of the complex exponentials is restricted to possibly
Externí odkaz:
http://arxiv.org/abs/2210.05707
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2023 521(2)
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice
Externí odkaz:
http://arxiv.org/abs/1705.02495
In this work we characterize all ambiguities of the linear (aperiodic) one-dimensional convolution on two fixed finite-dimensional complex vector spaces. It will be shown that the convolution ambiguities can be mapped one-to-one to factorization ambi
Externí odkaz:
http://arxiv.org/abs/1701.04890
Autor:
Pfander, Goetz E., Salanevich, Palina
We address the problem of signal reconstruction from intensity measurements with respect to a measurement frame. This non-convex inverse problem is known as phase retrieval. The case considered in this paper concerns phaseless measurements taken with
Externí odkaz:
http://arxiv.org/abs/1611.02540
The need of reconstructing discrete-valued sparse signals from few measurements, that is solving an undetermined system of linear equations, appears frequently in science and engineering. Whereas classical compressed sensing algorithms do not incorpo
Externí odkaz:
http://arxiv.org/abs/1609.09450
Autor:
Pfander, Götz E., Zheltov, Pavel
Publikováno v:
Information Theory, IEEE Transactions on 60.4 (2014): 2359-2372
We develop sampling methodology aimed at determining stochastic operators that satisfy a support size restriction on the autocorrelation of the operators stochastic spreading function. The data that we use to reconstruct the operator (or, in some cas
Externí odkaz:
http://arxiv.org/abs/1505.02799