Naslov
Statistical Compressive Sensing of Analog Signals in B-Spline Function Spaces
(Statistical Compressive Sensing of Analog Signals in B-Spline Function Spaces)

Autori
Vlašić, Tin ; Seršić, Damir

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, prošireni sažetak, znanstveni

Izvornik
Abstract Book of the 5th International Workshop on Data Science (IWDS 2020) / Lončarić, Sven ; Šmuc, Tomislav - Zagreb, 2020, 28-31

Skup
5th Int'l Workshop on Data Science (IWDS)

Mjesto i datum
Zagreb, Hrvatska, 24.11.2020

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
B-splines ; inverse problems ; sampling ; sparsity

Sažetak
In this paper, we assume that the observed signal lies in a B-spline function space. B-splines, which belong to the class of functions that generate shift-invariant (SI) subspaces, fit into the compressive sensing framework and provide sparse solutions for various real-world signals. Thus, we propose signal acquisition with the system for sub-Nyquist sampling of sparse signals in SI spaces. Additionally, we assume that SI samples obtained by the proposed system follow a Gaussian distribution, so that we can use the statistical compressive sensing measurement and reconstruction strategy. The proposed setting allows for sampling of sparse signals with a much lower sampling rate in contrast to the high- rate sampling in the standard SI setting ; in addition with efficient linear reconstruction which extremely reduces the computational complexity of signal recovery.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika

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