Theory of continuously phased planar sources for sound reinforcement

Modern large-scale sound reinforcement systems use line-source loudspeaker arrays with the goal to establish a desired direct sound level decay profile along a line into the audience by adjusting the splay angles or delays between the individual enclosures. To design such a profile not only in the d...

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Main Authors: Gölles Lukas, Zotter Franz
Format: Article
Language:English
Published: EDP Sciences 2024-01-01
Series:Acta Acustica
Subjects:
Online Access:https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240089/aacus240089.html
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author Gölles Lukas
Zotter Franz
author_facet Gölles Lukas
Zotter Franz
author_sort Gölles Lukas
collection DOAJ
description Modern large-scale sound reinforcement systems use line-source loudspeaker arrays with the goal to establish a desired direct sound level decay profile along a line into the audience by adjusting the splay angles or delays between the individual enclosures. To design such a profile not only in the depth but also in the width of the audience area, a two-dimensional source would offer sufficiently many degrees of freedom for adaptation. In practical applications, this task is often accomplished with discrete planar loudspeaker arrays. In this work, we suggest employing the stationary-phase approximation to get a continuous symmetric delay length profile, which is then discretized. The aim of the design is to achieve direct sound levels rolling off by −6 ⋅ β dB per distance doubling on the listening area. The efficacy of this method is demonstrated by simulations and measurements of coverage with a small planar array confirming the validity of the proposed theory in practice.
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institution Kabale University
issn 2681-4617
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publishDate 2024-01-01
publisher EDP Sciences
record_format Article
series Acta Acustica
spelling doaj-art-7aad396b90e44216ac0f4f0ec6a9ecb22025-01-06T10:56:15ZengEDP SciencesActa Acustica2681-46172024-01-0187710.1051/aacus/2024070aacus240089Theory of continuously phased planar sources for sound reinforcementGölles Lukas0https://orcid.org/0009-0005-5810-9046Zotter Franz1https://orcid.org/0000-0002-6201-1106Institute of Electronic Music and Acoustics, University of Music and Performing ArtsInstitute of Electronic Music and Acoustics, University of Music and Performing ArtsModern large-scale sound reinforcement systems use line-source loudspeaker arrays with the goal to establish a desired direct sound level decay profile along a line into the audience by adjusting the splay angles or delays between the individual enclosures. To design such a profile not only in the depth but also in the width of the audience area, a two-dimensional source would offer sufficiently many degrees of freedom for adaptation. In practical applications, this task is often accomplished with discrete planar loudspeaker arrays. In this work, we suggest employing the stationary-phase approximation to get a continuous symmetric delay length profile, which is then discretized. The aim of the design is to achieve direct sound levels rolling off by −6 ⋅ β dB per distance doubling on the listening area. The efficacy of this method is demonstrated by simulations and measurements of coverage with a small planar array confirming the validity of the proposed theory in practice.https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240089/aacus240089.htmlplanar arraysmatrix arrayssound reinforcementstationary phase approximationdelay beamforming
spellingShingle Gölles Lukas
Zotter Franz
Theory of continuously phased planar sources for sound reinforcement
Acta Acustica
planar arrays
matrix arrays
sound reinforcement
stationary phase approximation
delay beamforming
title Theory of continuously phased planar sources for sound reinforcement
title_full Theory of continuously phased planar sources for sound reinforcement
title_fullStr Theory of continuously phased planar sources for sound reinforcement
title_full_unstemmed Theory of continuously phased planar sources for sound reinforcement
title_short Theory of continuously phased planar sources for sound reinforcement
title_sort theory of continuously phased planar sources for sound reinforcement
topic planar arrays
matrix arrays
sound reinforcement
stationary phase approximation
delay beamforming
url https://acta-acustica.edpsciences.org/articles/aacus/full_html/2024/01/aacus240089/aacus240089.html
work_keys_str_mv AT golleslukas theoryofcontinuouslyphasedplanarsourcesforsoundreinforcement
AT zotterfranz theoryofcontinuouslyphasedplanarsourcesforsoundreinforcement