Fast Time-Varying Exponentiated Convolution Methods for Generative Direction Dependent Reverberation

Luo Y. Fast Time-Varying Exponentiated Convolution Methods for Generative Direction Dependent Reverberation. In: AES Show 2026 Nashville. Audio Engineering Society; 2026.pp. 59:1-10. Available from: https://aes.org/publications/elibrary-page/?id=23489

@inproceedings{Luo2026_23489,
  author = {Luo, Yuancheng},
  title = {{Fast Time-Varying Exponentiated Convolution Methods for Generative Direction Dependent Reverberation}},
  booktitle = {AES Show 2026 Nashville},
  pages = {59:1-10},
  url = {https://aes.org/publications/elibrary-page/?id=23489},
  year = {2026},
  month = oct,
  publisher = {Audio Engineering Society},
  address = {Gaylord Opryland Resort}
}

TY  - CPAPER
TI  - Fast Time-Varying Exponentiated Convolution Methods for Generative Direction Dependent Reverberation
AU  - Luo, Yuancheng
T2  - AES Show 2026 Nashville
SP  - 1
EP  - 10
M1  - Paper 59
PY  - 2026
DA  - 2026/10/30
UR  - https://aes.org/publications/elibrary-page/?id=23489
PB  - Audio Engineering Society
CY  - Gaylord Opryland Resort
LA  - en
AB  - Spherical harmonic encoded acoustic sound-fields capture directional characteristics of room impulse responses that are useful for accurate spatial audio reproduction. However, high costs of multi-microphone measurements and numerical simulations motivate alternative data-set augmentation and synthetic data generation methods that supplement small collections. This paper introduces time-varying exponentiated convolution methods that transform both Gaussian noise and impulse responses into reverberation and modified spectral-decay fields respectively. We derive two recursive and fast convolution algorithms that extend into the spherical harmonic domain, model smooth reverberation time distributions with non-stationary Gaussian processes, and realize an optimal filter design. Experiments evaluate computational performance, and validate out-of-distribution generated impulse responses.
ER  -