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P. Dodds, "A flexible numerical optimization approach to the design of biquad filter cascades," Paper 10439, (2020 October.). doi: P. Dodds, "A flexible numerical optimization approach to the design of biquad filter cascades," Paper 10439, (2020 October.). doi:
Abstract: The design of recursive filters with specified magnitude and phase responses is a common problem in audio signal processing. This paper presents a flexible methodology for the design of digital filter cascades with specified magnitude and phase responses based on a non-linear least squares fitting methodology. The proposed methodology utilizes the Levenberg-Marquardt algorithm to derive optimal parameters in the z-plane for a given number of second order recursive filters using a cost function that can accommodate arbitrary frequency-weighting curves in addition to any hard or soft constraints on the filter behavior. The cost function being minimized is based on the L2 distance in the complex frequency domain and incorporates additional terms to impose constraints on filter shape, stability, and distortions.

@article{dodds2020a,
author={dodds, peter},
journal={journal of the audio engineering society},
title={a flexible numerical optimization approach to the design of biquad filter cascades},
year={2020},
volume={},
number={},
pages={},
doi={},
month={october},} @article{dodds2020a,
author={dodds, peter},
journal={journal of the audio engineering society},
title={a flexible numerical optimization approach to the design of biquad filter cascades},
year={2020},
volume={},
number={},
pages={},
doi={},
month={october},
abstract={the design of recursive filters with specified magnitude and phase responses is a common problem in audio signal processing. this paper presents a flexible methodology for the design of digital filter cascades with specified magnitude and phase responses based on a non-linear least squares fitting methodology. the proposed methodology utilizes the levenberg-marquardt algorithm to derive optimal parameters in the z-plane for a given number of second order recursive filters using a cost function that can accommodate arbitrary frequency-weighting curves in addition to any hard or soft constraints on the filter behavior. the cost function being minimized is based on the l2 distance in the complex frequency domain and incorporates additional terms to impose constraints on filter shape, stability, and distortions.},}

TY - paper
TI - A flexible numerical optimization approach to the design of biquad filter cascades
SP - EP -
AU - Dodds, Peter
PY - 2020
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2020 TY - paper
TI - A flexible numerical optimization approach to the design of biquad filter cascades
SP - EP -
AU - Dodds, Peter
PY - 2020
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2020
AB - The design of recursive filters with specified magnitude and phase responses is a common problem in audio signal processing. This paper presents a flexible methodology for the design of digital filter cascades with specified magnitude and phase responses based on a non-linear least squares fitting methodology. The proposed methodology utilizes the Levenberg-Marquardt algorithm to derive optimal parameters in the z-plane for a given number of second order recursive filters using a cost function that can accommodate arbitrary frequency-weighting curves in addition to any hard or soft constraints on the filter behavior. The cost function being minimized is based on the L2 distance in the complex frequency domain and incorporates additional terms to impose constraints on filter shape, stability, and distortions.