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- A.Farina1, L. Tronchin2
- 1 University of Parma, Italy
- 2 University of Bologna, Italy
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- For mapping the direction of arrival of early reflections, three methods
have been successfully tested:
- Good, old Ambisonics (1st order B-format)
- A shotgun microphone over a turntable
- A spherical microphone array (Eigenmike™)
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- At UNIPR and UNIBO we have 10+ years of experience employing 1st-order
Ambisonics microphones (Soundfield TM, DPA-4, Tetramic,
Brahma)
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- A tetrahedrical microphone probe was developed by Gerzon and Craven,
originating the Soundfield microphone
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- The Soundfield (TM) microphone provides 4 signals:
1 omnidirectional (pressure, W) and 3 figure-of-8 (velocity, X,
Y, Z)
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- In 2003 Waves launched a large research project, aimed to capturing a
huge set of 3D impulse responses in the most famous theatres of the
world
- The measurments did employ three diffrent microphone systems, but here
we are talking only about the Soundfield microphone, as in the original
Gerzon’s suggestion
- More than 100 acoustical spaces were measured, including several
historical sites, including the Greek/Roman theatres of SIracusa and
Taormina, in SIcily
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- The measurement method incorporated all the known techniques:
- Binaural
- B-format (1st order Ambisonics)
- WFS (Wave Field Synthesis, circular array)
- ITU 5.1 surround (Williams MMA, OCT, INA, etc.)
- Binaural Room Scanning
- M. Poletti high-order virtual microphones
- Any multichannel auralization systems available in 2003 was supported
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- Test Signal: pre-equalized sweep
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- The not-linear behaviour of the loudspeaker causes many harmonics to
appear
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- The deconvolution of the IR is obtained convolving the measured signal
y(t) with the inverse filter z(t) [equalized, time-reversed x(t)]
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- The last impulse response is the linear one, the preceding are the
harmonics distortion products of various orders
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- Equalized, omnidirectional sound source:
- Dodechaedron for mid-high frequencies
- One-way Subwoofer (<120 Hz)
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- LookLine D-200 dodechaedron
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- LookLine D-300 dodechaedron
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- Omnisonic 1000 dodechaedron
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- Genelec S30D reference studio monitor:
- Three-ways, active multi-amped, AES/EBU
- Frequency range 37 Hz – 44 kHz (+/- 3 dB)
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- 3 types of microphones:
- Binaural dummy head (Neumann KU-100)
- 2 Cardioids in ORTF placement (Neumann K-140)
- B-Format 4 channels (Soundfield ST-250)
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- A single measurement session play backs 36 times the test signal, and
simultaneusly record the 8 microphonic channels
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- 1st order Ambisonics is still widely employed, as now it can
be implemented employing very cheap equipment (Tetramic, Brahma)
- Pulsive sound sources are usually preferred for a number of reasons
- Portable, battery operated recorders make it very easy to collect a
large number of impulse responses
- A new digital method of processing the signals provides much better
polar response than those available form the original Soundfield
microphone
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- Balloons or Firecrackers as sound source
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- Comparison in Patras’ Odeion
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- Comparison in Patras’ Odeion
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- Large ballons have more pronounced low frequencies
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- Good frequency response and repatibility
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- Verification of the repeatibility
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- A portable digital recorder equipped with tetrahedrical microphone
probe: BRAHMA
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- A 4x4 filter matrix is employed in the X-volver free plugin
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- Aurora plugin – processing the Odeion in Patra
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- Reverberation Time T30 – Odeion in Patras
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- Reverberation Time T30 – Audit. University of Patras
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- 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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- The Mercator projection is employed for creating a rectangular image
covering the whole surface of the sphere
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- Creates a panoramic image ranging 360°horizontally and up to 180°vertically
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- 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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- Visual Basic program for displaying reflections
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