A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning
The single-listener multichannel crosstalk cancellation system is analysed using the singular value decomposition. Analytic expressions for the singular system are derived considering a sound-field of point sources placed in the far-field and in free-field conditions. The derived singular system yie...
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| Veröffentlicht in: | Journal of sound and vibration 2021-01, Vol.490, p.115743, Article 115743 |
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| container_title | Journal of sound and vibration |
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| creator | Hamdan, Eric C. Fazi, Filippo Maria |
| description | The single-listener multichannel crosstalk cancellation system is analysed using the singular value decomposition. Analytic expressions for the singular system are derived considering a sound-field of point sources placed in the far-field and in free-field conditions. The derived singular system yields theoretical insight into the benefit of multichannel loudspeaker geometries over the conventional two-channel system. From the singular system the source strength solution is derived for a target far-field virtual source. The low frequency approximation of the derived source strengths is an amplitude panning function. This panning function is a generalisation of the sine law solution that allows for head rotation and asymmetric loudspeaker geometry. When the geometry is symmetric about the median plane of the listener the low frequency sources strengths are the minimum ℓ2 norm solution of the multichannel sine law. The low frequency approximation is also shown to be representative when the free-field assumption is relaxed. |
| doi_str_mv | 10.1016/j.jsv.2020.115743 |
| format | Article |
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Analytic expressions for the singular system are derived considering a sound-field of point sources placed in the far-field and in free-field conditions. The derived singular system yields theoretical insight into the benefit of multichannel loudspeaker geometries over the conventional two-channel system. From the singular system the source strength solution is derived for a target far-field virtual source. The low frequency approximation of the derived source strengths is an amplitude panning function. This panning function is a generalisation of the sine law solution that allows for head rotation and asymmetric loudspeaker geometry. When the geometry is symmetric about the median plane of the listener the low frequency sources strengths are the minimum ℓ2 norm solution of the multichannel sine law. The low frequency approximation is also shown to be representative when the free-field assumption is relaxed.</description><identifier>ISSN: 0022-460X</identifier><identifier>EISSN: 1095-8568</identifier><identifier>DOI: 10.1016/j.jsv.2020.115743</identifier><language>eng</language><publisher>Amsterdam: Elsevier Ltd</publisher><subject>3D audio ; Amplitude panning ; Amplitudes ; Approximation ; Binaural ; Crosstalk ; Crosstalk cancellation ; Decomposition ; Harmonic analysis ; Head movement ; Inverse problem ; Loudspeakers ; Low frequencies ; Mathematical analysis ; Modal analysis ; Sine law ; Singular value decomposition ; Sound-field control ; Surround sound ; Trigonometric functions ; Vibration analysis</subject><ispartof>Journal of sound and vibration, 2021-01, Vol.490, p.115743, Article 115743</ispartof><rights>2020 The Authors</rights><rights>Copyright Elsevier Science Ltd. 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The low frequency approximation is also shown to be representative when the free-field assumption is relaxed.</description><subject>3D audio</subject><subject>Amplitude panning</subject><subject>Amplitudes</subject><subject>Approximation</subject><subject>Binaural</subject><subject>Crosstalk</subject><subject>Crosstalk cancellation</subject><subject>Decomposition</subject><subject>Harmonic analysis</subject><subject>Head movement</subject><subject>Inverse problem</subject><subject>Loudspeakers</subject><subject>Low frequencies</subject><subject>Mathematical analysis</subject><subject>Modal analysis</subject><subject>Sine law</subject><subject>Singular value decomposition</subject><subject>Sound-field control</subject><subject>Surround sound</subject><subject>Trigonometric functions</subject><subject>Vibration analysis</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPwzAQhC0EEqXwA7hZ4pziR5I64lRVvKRKXEDiZjnOhjp14mC7lfrvcQlnTqvVzox2PoRuKVlQQsv7btGFw4IRlnZaLHN-hmaUVEUmilKcoxkhjGV5ST4v0VUIHSGkynk-Q7sV7l2jLFaDssdgAnYt7vc2Gr1VwwAWa-9CiMrusFaDBmtVNG7A4Rgi9CH5Ghy3YDz2MJ3C1ow4Oqz60Zq4bwCPKckMX9foolU2wM3fnKOPp8f39Uu2eXt-Xa82mealiFneFkCpYATKtq2XlBGiOWuKNs-bmgvQS85qJepai0pXSohGFVyXtaYahKoFn6O7KXf07nsPIcrO7X3qFyTLS8FFUTGaVHRS_Rb00MrRm175o6REnpjKTiam8sRUTkyT52HyQHr_YMDLoA0kKo3xoKNsnPnH_QNpKoH7</recordid><startdate>20210106</startdate><enddate>20210106</enddate><creator>Hamdan, Eric C.</creator><creator>Fazi, Filippo Maria</creator><general>Elsevier Ltd</general><general>Elsevier Science Ltd</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0003-4853-2762</orcidid></search><sort><creationdate>20210106</creationdate><title>A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning</title><author>Hamdan, Eric C. ; Fazi, Filippo Maria</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-4f5e11820e6ffb71200c32d5f44db38ec732ba8bbc89c9a88da53c6bc1ce8ab83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>3D audio</topic><topic>Amplitude panning</topic><topic>Amplitudes</topic><topic>Approximation</topic><topic>Binaural</topic><topic>Crosstalk</topic><topic>Crosstalk cancellation</topic><topic>Decomposition</topic><topic>Harmonic analysis</topic><topic>Head movement</topic><topic>Inverse problem</topic><topic>Loudspeakers</topic><topic>Low frequencies</topic><topic>Mathematical analysis</topic><topic>Modal analysis</topic><topic>Sine law</topic><topic>Singular value decomposition</topic><topic>Sound-field control</topic><topic>Surround sound</topic><topic>Trigonometric functions</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hamdan, Eric C.</creatorcontrib><creatorcontrib>Fazi, Filippo Maria</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hamdan, Eric C.</au><au>Fazi, Filippo Maria</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning</atitle><jtitle>Journal of sound and vibration</jtitle><date>2021-01-06</date><risdate>2021</risdate><volume>490</volume><spage>115743</spage><pages>115743-</pages><artnum>115743</artnum><issn>0022-460X</issn><eissn>1095-8568</eissn><abstract>The single-listener multichannel crosstalk cancellation system is analysed using the singular value decomposition. 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| ispartof | Journal of sound and vibration, 2021-01, Vol.490, p.115743, Article 115743 |
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| language | eng |
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| subjects | 3D audio Amplitude panning Amplitudes Approximation Binaural Crosstalk Crosstalk cancellation Decomposition Harmonic analysis Head movement Inverse problem Loudspeakers Low frequencies Mathematical analysis Modal analysis Sine law Singular value decomposition Sound-field control Surround sound Trigonometric functions Vibration analysis |
| title | A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning |
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