TY - GEN
T1 - Regularized Spherical Fourier Transform for Room Impulse Response Interpolation
AU - Alarcon, Julio
AU - Solis-Lastra, Javier
AU - Salvador, Cesar D.
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021/8/5
Y1 - 2021/8/5
N2 - Room impulse responses (RIRs) are a key tool in architectural acoustics and spatial sound for virtual reality. They characterize the room response between a sound source and a receiver. Directional RIRs at the receiver position can be measured with spherical microphone arrays or calculated with 3D models and numerical methods. Either because of a low number of microphones or limited computational capacity, there is a need to interpolate the RIRs to obtain higher directional resolutions. The spherical Fourier transform (SFT) enables a promising physics-based interpolation approach. However, existing SFT algorithms for acoustic purposes highly depend on the spherical distribution of microphones. This paper presents a SFT algorithm based on Tikhonov regularization that is suitable for random spherical distributions. Results show that the regularized SFT maintains the interpolation error bounded at high-energy values in time and up to a maximum frequency determined by the number of microphones. An open-source implementation is made publicly available to foster the reproducibility of this research.
AB - Room impulse responses (RIRs) are a key tool in architectural acoustics and spatial sound for virtual reality. They characterize the room response between a sound source and a receiver. Directional RIRs at the receiver position can be measured with spherical microphone arrays or calculated with 3D models and numerical methods. Either because of a low number of microphones or limited computational capacity, there is a need to interpolate the RIRs to obtain higher directional resolutions. The spherical Fourier transform (SFT) enables a promising physics-based interpolation approach. However, existing SFT algorithms for acoustic purposes highly depend on the spherical distribution of microphones. This paper presents a SFT algorithm based on Tikhonov regularization that is suitable for random spherical distributions. Results show that the regularized SFT maintains the interpolation error bounded at high-energy values in time and up to a maximum frequency determined by the number of microphones. An open-source implementation is made publicly available to foster the reproducibility of this research.
KW - Architectural acoustics
KW - room impulse response
KW - spatial sound technology
KW - spherical Fourier transform
KW - Tikhonov regularization
UR - http://www.scopus.com/inward/record.url?scp=85116278999&partnerID=8YFLogxK
U2 - 10.1109/INTERCON52678.2021.9532805
DO - 10.1109/INTERCON52678.2021.9532805
M3 - Conference contribution
AN - SCOPUS:85116278999
T3 - Proceedings of the 2021 IEEE 28th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2021
BT - Proceedings of the 2021 IEEE 28th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 28th IEEE International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2021
Y2 - 5 August 2021 through 7 August 2021
ER -