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N. Deshpande, and R. Wedelich, "Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters," J. Audio Eng. Soc., vol. 70, no. 6, pp. 457-468, (2022 June.). doi: N. Deshpande, and R. Wedelich, "Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters," J. Audio Eng. Soc., vol. 70 Issue 6 pp. 457-468, (2022 June.). doi:
Abstract: 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.

@article{deshpande2022real-time,
author={deshpande, nikhil and wedelich, russell},
journal={journal of the audio engineering society},
title={real-time transient reduction in higher-order time-varying musical filters},
year={2022},
volume={70},
number={6},
pages={457-468},
doi={},
month={june},} @article{deshpande2022real-time,
author={deshpande, nikhil and wedelich, russell},
journal={journal of the audio engineering society},
title={real-time transient reduction in higher-order time-varying musical filters},
year={2022},
volume={70},
number={6},
pages={457-468},
doi={},
month={june},
abstract={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.},}

TY - paper
TI - Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters
SP - 457 EP - 468
AU - Deshpande, Nikhil
AU - Wedelich, Russell
PY - 2022
JO - Journal of the Audio Engineering Society
IS - 6
VO - 70
VL - 70
Y1 - June 2022 TY - paper
TI - Real-Time Transient Reduction in Higher-Order Time-Varying Musical Filters
SP - 457 EP - 468
AU - Deshpande, Nikhil
AU - Wedelich, Russell
PY - 2022
JO - Journal of the Audio Engineering Society
IS - 6
VO - 70
VL - 70
Y1 - June 2022
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.