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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU133260" target="_blank" >RIV/00216305:26220/19:PU133260 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2075-1680/8/3/105" target="_blank" >https://www.mdpi.com/2075-1680/8/3/105</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms8030105" target="_blank" >10.3390/axioms8030105</a>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20203 - Telecommunications

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Axioms

ISSN

2075-1680

e-ISSN

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Volume of the periodical

8

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

20

Pages from-to

1-20

UT code for WoS article

000487962000025

EID of the result in the Scopus database

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