Analytical Design of Biquadratic Filter Sections for Parametric Filters

Shpak DJ. Analytical Design of Biquadratic Filter Sections for Parametric Filters. J Audio Eng Soc. 1992;40(11):876-885. Available from: https://aes.org/publications/elibrary-page/?id=7026

@article{Shpak1992_7026,
  author = {Shpak, Dale J.},
  title = {{Analytical Design of Biquadratic Filter Sections for Parametric Filters}},
  journal = {Journal of the Audio Engineering Society},
  volume = {40},
  number = {11},
  pages = {876--885},
  year = {1992},
  month = nov,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=7026}
}

TY  - JOUR
TI  - Analytical Design of Biquadratic Filter Sections for Parametric Filters
AU  - Shpak, Dale J.
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 40
IS  - 11
SP  - 876
EP  - 885
PY  - 1992
DA  - 1992/11/06
UR  - https://aes.org/publications/elibrary-page/?id=7026
PB  - Audio Engineering Society
LA  - en
AB  - Quadratic and biquadratic filter sections are often used in audio applications since only moderate filter selectivities are usually required. When a number of filter sections are cascaded, it can be advantageous to use filters with a nominal stopband gain of unit. The passband of each filter can then be varied about the 0-dB level, thereby realizing a filtering system capable of boosting or attenuating an input signal within multiple frequency bands. New closed-form expressions for analog biquadratic bandpass filters meeting prescribed specifications are first derived. This is followed by a method for transforming conventional analog filters. These results are then extended to the discrete-time domain through the use of the bilinear transformation. A distinct advantage of the proposed method is that since closed-form methods are used, the coefficients of a parametric filter can be readily recomputed in real time in response to a user specifying any of a new center of frequency, bandwidth, or peak gain. Examples of digital filter designs are given in the context of audio-frequency filtering.
ER  -