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Using the bilinear transform to derive digital low-pass filters from their analog prototypes introduces severe warping of the response once the cutoff frequency approaches the Nyquist limit. We show how to design pre- warped first and second order low-pass prototypes that, after application of the bilinear transform, provide a better match with the magnitude response of the analog original than applying the bilinear transform directly. Result plots are given and compared for different cutoff frequencies and Q factors.
Author (s): Massberg, Michael
Affiliation:
Brainworx Music & Media GmbH, Leichlingen, Germany
(See document for exact affiliation information.)
AES Convention: 131
Paper Number:8551
Publication Date:
2011-10-06
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Session subject:
Audio Processing
Permalink: https://aes2.org/publications/elibrary-page/?id=16077
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Massberg, Michael; 2011; Digital Low-Pass Filter Design with Analog-Matched Magnitude Response [PDF]; Brainworx Music & Media GmbH, Leichlingen, Germany; Paper 8551; Available from: https://aes2.org/publications/elibrary-page/?id=16077
Massberg, Michael; Digital Low-Pass Filter Design with Analog-Matched Magnitude Response [PDF]; Brainworx Music & Media GmbH, Leichlingen, Germany; Paper 8551; 2011 Available: https://aes2.org/publications/elibrary-page/?id=16077