Detail publikace

A new generalized projection and its application to acceleration of audio declipping

RAJMIC, P. ZÁVIŠKA, P. VESELÝ, V. MOKRÝ, O.

Originální název

A new generalized projection and its application to acceleration of audio declipping

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In convex optimization, it is often inevitable to work with projectors onto convex sets composed with a linear operator. Such a need arises from both the theory and applications, with signal processing being a prominent and broad field where convex optimization has been used recently. In this article, a novel projector is presented, which generalizes previous results in that it admits to work with a broader family of linear transforms when compared with the state of the art but, on the other hand, it is limited to box-type convex sets in the transformed domain. The new projector is described by an explicit formula, which makes it simple to implement and requires a low computational cost. The projector is interpreted within the framework of the so-called proximal splitting theory. The convenience of the new projector is demonstrated on an example from signal processing, where it was possible to speed up the convergence of a signal declipping algorithm by a factor of more than two.

Klíčová slova

projection; optimization; generalization; box constraints; declipping; desaturation; proximal splitting; sparsity

Autoři

RAJMIC, P.; ZÁVIŠKA, P.; VESELÝ, V.; MOKRÝ, O.

Vydáno

19. 9. 2019

Nakladatel

MDPI

Místo

Basel

ISSN

2075-1680

Periodikum

Axioms

Ročník

8

Číslo

3

Stát

Švýcarská konfederace

Strany od

1

Strany do

20

Strany počet

20

URL

https://www.mdpi.com/2075-1680/8/3/105

Plný text v Digitální knihovně

http://hdl.handle.net/11012/180691

BibTex

@article{BUT158565,
  author="Pavel {Rajmic} and Pavel {Záviška} and Vítězslav {Veselý} and Ondřej {Mokrý}",
  title="A new generalized projection and its application to acceleration of audio declipping",
  journal="Axioms",
  year="2019",
  volume="8",
  number="3",
  pages="1--20",
  doi="10.3390/axioms8030105",
  issn="2075-1680",
  url="https://www.mdpi.com/2075-1680/8/3/105"
}