Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters

Deshpande N, Wedelich R. Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters. J Audio Eng Soc. 2022;70(6):457-468. doi:10.17743/jaes.2022.0015

@article{Deshpande2022_21796,
  author = {Deshpande, Nikhil and Wedelich, Russell},
  title = {{Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters}},
  journal = {Journal of the Audio Engineering Society},
  volume = {70},
  number = {6},
  pages = {457--468},
  year = {2022},
  month = jun,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2022.0015},
  url = {https://doi.org/10.17743/jaes.2022.0015}
}

TY  - JOUR
TI  - Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters
AU  - Deshpande, Nikhil
AU  - Wedelich, Russell
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 70
IS  - 6
SP  - 457
EP  - 468
PY  - 2022
DA  - 2022/06/06
DO  - 10.17743/jaes.2022.0015
UR  - https://doi.org/10.17743/jaes.2022.0015
PB  - Audio Engineering Society
LA  - en
AB  - This paper introduces higher-order digital equalization filters designed using various transforms on lower-order filter prototypes. The filters are designed in the analog domain as state-space filters. The bilinear transform is applied in real time as a trapezoidal integrator on the state equations to discretize the filters while still retaining the time-varying stability properties of the analog prototypes. It is demonstrated that factoring the higher-order filters into second-order sections before discretization introduces transient distortion in time-varying situations; the filters are then designed and implemented as fourth-order sections in the state domain with interpolation because it is more efficient to maintain filter stability and bounding at the higher order in the same time-varying conditions.
ER  -