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SOFiA Inverse Spatial Transform Core
SOFiA S/T/C is a Inverse Spatial Fourier Transform (ISFT) core optimized for sound field analysis.
ARGUMENTS
Input
| Name |
Type |
Purpose |
Default |
| Pnm |
complex float mtx |
Spatial Fourier coefficients from S/T/C |
- |
| angles |
float mtx |
Target angles: AZ1, EL1; AZ2, EL2;...;AZM, ELM for M Positions. Refer to Coordinate System |
- |
| N |
int |
Maximum decomposition |
Maximum available in Pnm |
Output
| Name |
Type |
Purpose |
| p |
complex float mtx |
Frequency domain data (pressures) |
FILE(S):
| File |
Type |
OS/Matlab |
| sofia_itc.m |
Help header |
All OS |
| sofia_itc.mexmaci64 |
MEX Core |
OS-X Intel |
| sofia_itc.mexw32 |
MEX Core |
Windows, MATLAB32 |
| sofia_itc.mexw64 |
MEX Core |
Windows, MATLAB64 |
| sofia_itc.cpp |
C/C++ source |
All OS |
PERFORMANCE
Refer to S/T/C
HEADER
/*
p = ASAR_ITC(Pnm, angles, [N])
------------------------------------------------------------------------------------
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p |
sound pressures (complex data)
Columns: angles
Rows: FFT bins
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------------------------------------------------------------------------------------ |
Pnm |
Spatial Fourier Coefficients (e.g. from SOFiA S/T/C)
Columns: nm coeff
Rows: FFT bins |
angles |
target angles [AZ1 EL1; AZ2 EL2; ...;AZn ELn]
Columns: Angle Number 1...n
Rows: AZ EL |
[N] |
(Optional) Maximum transform order
If not specified the highest order available included in
the Pnm coefficients will be taken |
This is a pure ISFT core that does not involve extrapolation.
=> The pressures are refered to the original radius |
*/ |
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The I/T/C core involves Bessel and Hankel functions provided by the peer-reviewed BOOST C++ Math Library under the BOOST Software License.
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