Python module to generate Perceptual Soundfield Reconstruction (PSR) directivity patterns and its higher-order approximations as described in [1]: E. De Sena, H. Hacıhabiboğlu, and Z. Cvetković, "Analysis and Design of Multichannel Systems for Perceptual Sound Field Reconstruction," IEEE Trans. on Audio, Speech and Language Process., vol. 21 , no. 8, pp 1653-1665, Aug. 2013.
Please notice that parts of this code are protected by USPTO patent n. 8,976,977 [2]. If you'd like to use this software for any reason other than non-commercial research purposes, please contact enzodesena AT gmail DOT com
There is no need for non-core modules. No need to install: just clone/download and you are ready to go!
import numpy as np
import matplotlib.pyplot as plt
import psr
# Generates a PSR microphone with radius 15.5 cm and base angle 2pi/5 (72 deg)
mic = psr.PsrMicrophone(0.155, 2*np.pi/5)
# Plots the ideal PSR directivity pattern
mic.plot_directivity()
# Calculates the coefficients of a 2nd-order directivity pattern that best
# approximates the ideal PSR pattern
coeffs = mic.optimal_coefficients(2)
print("Optimal coefficients:")
print(coeffs)
# Overlays the 2nd-order approximation directivity pattern with the ideal one
psr.plot_trig_directivity(coeffs)
# Show plots
plt.show()Run python psr_tests.py.
As opposed to the original paper, this code uses Williams psychoacoustic curves instead of Fransen psychoacoustic curves. The latter is considered useful for qualitative analysis only (see [3]). The two curves approximately intersect for inter-channel time differences (ICTDs) corresponding to an array radius of 15.5 cm, i.e. the case considered in [1].
The work to develop PSR was carried out by E. De Sena, H. Hacıhabiboğlu, and Z. Cvetković while they were at King's College London (UK) with support by EPSRC Grant EP/F001142/1, and was published in [1].
The python software was written by Enzo De Sena while a Lecturer (Assistan Professor) at the University of Surrey.
- Enzo De Sena - desena.org
[1] E. De Sena, H. Hacıhabiboğlu, and Z. Cvetković, "Analysis and Design of Multichannel Systems for Perceptual Sound Field Reconstruction," IEEE Trans. on Audio, Speech and Language Process., vol. 21 , no. 8, pp 1653-1665, Aug. 2013.
[2] USPTO patent H. Hacihabiboglu, E. De Sena, and Z. Cvetkovic, "Microphone array", US Patent n. 8,976,977, filed 15/10/2010, granted 10/3/2015
[3] J. Blauert, Spatial Hearing: The Psychophysics of Human Sound Localization. Cambridge, MA, USA: MIT Press, 1997.
This project is licensed under the GNU GPL v3.0 License - see the LICENSE file for details. Also notice that parts of the code are protected under USPTO patent n. 8,976,977.