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Source localization from B-format signals

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(1)

Source localization from B-format signals

Angelo Farina, 2011

(2)

Current use of Ambisonics

• A portable digital recorder equipped with

tetrahedrical microphone probe: BRAHMA

(3)

Conversion from A-format to B-format

• A 4x4 filter matrix is employed in the X-volver free plugin

(4)

Spatial Analysis

• The direction of arrival can be found as follows:

• The Sound Intensity vector components are computed

• I

x

=w·x I

y

=w·y I

z

=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

• I

mod

= sqrt(I

x

·I

x

+I

y

·I

y

+I

z

·I

z

) R=I

mod

/De

• And azimuth and elevation of reflections are found:

• Az = atan2(I

y

,I

x

) El = asin(I

z

/I

mod

)

(5)

Background image

• The Mercator projection is employed for creating a

rectangular image covering the whole surface of the

sphere

(6)

Image Composite Editor

• Creates a panoramic image ranging 360°horizontally and up

to 180°vertically

(7)

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

(8)

Echo localization from B-format IR

• Visual Basic program for displaying reflections

Sound Intensity

Energy

Density

Riferimenti

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