Awesome
Sensor Array Response Simulator
A library that simulates array responses for sensors with arbitrary geometry and directional characteristics.
Archontis Politis, 2015
Department of Signal Processing and Acoustics, Aalto University, Finland
This Matlab/Octave library was developed during my doctoral research in the [Communication Acoustics Research Group] (http://spa.aalto.fi/en/research/research_groups/communication_acoustics/), Aalto University, Finland. If you would like to reference the code, you can refer to my dissertation published here:
Archontis Politis, Microphone array processing for parametric spatial audio techniques, 2016
Doctoral Dissertation, Department of Signal Processing and Acoustics, Aalto University, Finland
Description
This is a collection of MATLAB routines for simulation of array responses of
a) directional sensors and,
b) sensors mounted on, or at a distance from, a rigid spherical/cylindrical scatterer.
The computation of their frequency and impulse responses is based on the theoretical expansion of a scalar incident plane wave field to a series of wavenumber-dependent Bessel-family functions and direction-dependent Fourier or Legendre functions.
A function for arbitrary open arrays of directional microphones is included not based on the expansion but directly on the steering vector formula of inter-sensor delays and sensor gains for directional patterns (e.g. arrays of cardioid microphones).
Most of the functionality of the library is displayed at [http://research.spa.aalto.fi/projects/arraysim-lib/arraysim.html], or in the included script TEST_ARRAY_SIMULATOR.m
For more information on the expansions, you can have a look on
Earl G. Williams, "Fourier Acoustics: Sound Radiation and Nearfield
Acoustical Holography", Academic Press, 1999
Heinz Teutsch, "Modal Array Signal Processing: Principles and
Applications of Acoustic Wavefield Decomposition", Springer, 2007
and for example on [http://en.wikipedia.org/wiki/Plane_wave_expansion] and [http://en.wikipedia.org/wiki/Jacobi-Anger_expansion]
For any questions, comments, corrections, or general feedback, please contact archontis.politis@aalto.fi
For more details on using functions, check their help output in Matlab.
List of MATLAB files:
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sph_besselj.m : Various spherical Bessel-family functions and their
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sph_bessely.m : derivatives, for the computation of the radial
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sph_function.m : terms of the expansions (modal weights)
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sph_hankel1.m
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sph_hankel2.m
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dbesselj.m
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dbessely.m
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dhankel1.m
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dhankel2.m
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dsph_besselj.m
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dsph_bessely.m
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dsph_function.m
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dsph_hankel1.m
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dsph_hankel2.m
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simulateCylArray.m : Simulate cylindrical open arrays or arrays of sensors mounted on a rigid cylinder
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simulateSphArray.m : Simulate spherical open arrays or arrays of sensors mounted on a rigid sphere
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cylModalCoeffs.m : Compute the radial (modal) weights for a cylindrical scatterer
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sphModalCoeffs.m : Compute the radial (modal) weights for a spherical scatterer
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sphericalScatterer.m : Compute the response for a measurement point at an arbitrary distance from a rigid spherical scatterer
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cylindricalScatterer.m : Compute the response for a measurement point at an arbitrary distance from a rigid cylindrical scatterer
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getArrayResponse.m' : Simulate open arrays of arbitrary directional microphones with axisymmetric responses