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Sound Source Directivity Estimation in Spherical Fourier Domain from Sparse Measurements

Olgun, Orhun; Hacıhabiboğlu, Hüseyin


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    <subfield code="a">&lt;p&gt;Real sound sources have unique directional properties unlike simple idealised sources such as monopoles. Measur-&lt;/p&gt;

&lt;p&gt;ing the directivity patterns of sound sources typically involves measuring sound power using pressure microphones&lt;/p&gt;

&lt;p&gt;on a spherical grid surrounding the source. This approach is not very practical and is costly due to hardware&lt;/p&gt;

&lt;p&gt;requirements. This paper proposes a reduced-complexity source directivity measurement approach. The spherical&lt;/p&gt;

&lt;p&gt;harmonic decomposition of the sound field at a small number of measurement points around the source is first&lt;/p&gt;

&lt;p&gt;obtained. Both pressure and its higher-order spatial derivatives are then calculated to estimate source directivity that&lt;/p&gt;

&lt;p&gt;best matches a fixed-order model. The proposed approach is validated to assess its utility using eight second-order&lt;/p&gt;

&lt;p&gt;measurements around a loudspeaker. The estimated directivity functions closely matched the manufacturer data,&lt;/p&gt;

&lt;p&gt;particularly at low and mid-frequency bands.&lt;/p&gt;</subfield>
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    <subfield code="c">2025-05-23</subfield>
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    <subfield code="a">158th Convention of the Audio Engineering Society</subfield>
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