![Page 1: Source localization from B-format signals Angelo Farina, 2011](https://reader033.vdocument.in/reader033/viewer/2022051516/56649d5a5503460f94a3ab31/html5/thumbnails/1.jpg)
Source localization from B-format signals
Angelo Farina, 2011
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Current use of Ambisonics
• A portable digital recorder equipped with tetrahedrical microphone probe: BRAHMA
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Conversion from A-format to B-format
• A 4x4 filter matrix is employed in the X-volver free plugin
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Spatial Analysis
• The direction of arrival can be found as follows:• The Sound Intensity vector components are
computed• Ix=w·x Iy=w·y Iz=w·z • Also the total energy density is computed• De=sqrt(w·w+x·x+y·y+z·z)• They are averaged over 1ms time slices• The ratio between active intensity and energy density
is finally computed• Imod = sqrt(Ix·Ix+Iy·Iy+Iz·Iz) R=Imod/De• And azimuth and elevation of reflections are found:• Az = atan2(Iy,Ix) El = asin(Iz/Imod)
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Background image• The Mercator projection is employed for creating a
rectangular image covering the whole surface of the sphere
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Image Composite Editor• Creates a panoramic image ranging 360°horizontally and up
to 180°vertically
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Reflection Mapping
• We can now plot a circle for every reflection, at the Azimuth and Elevation found, over a standard Cartesian framework
• The radius of the circle is made proportional to the Sound Intensity level in dB
• The transparency of the circle is made proportional to the ratio R
• When R is low, the intensity is not indicating anymore a direction of arrival which can be perceived by the listeners
• When R is large (close to 1), the sound is strongly polarized in one direction, which can be easily perceived
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Echo localization from B-format IR• Visual Basic program for displaying reflections
Sound Intensity
Energy Density