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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EDP Sciences
2024-01-01
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Series: | Acta Acustica |
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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. |
format | Article |
id | doaj-art-7aad396b90e44216ac0f4f0ec6a9ecb2 |
institution | Kabale University |
issn | 2681-4617 |
language | English |
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 |