Emulation of Analog Filters in the Digital Domain
Abstract
Digital equalizers typically aim to emulate analog responses, and the finite digital bandwidth leads to a divergence from the analog response near the Nyquist frequency. This paper develops sets of low-pass, band-pass, and high-pass filters that minimize this divergence. The first set is developed using the matched z-transform with numerators designed to control the high-frequency behavior. The second set generalizes the bilinear transform filters to provide a closer match to the analog counterparts at high Q values. A symmetric parametric equalizer is also derived that generalizes previous designs. This equalizer is then modified to better match the analog filter response near the Nyquist frequency.
Fields of Study & Subjects
Digital Filter Design and Implementation
Analog and Mixed-Signal Circuit Design
Advanced Adaptive Filtering Techniques
Publication details
- Journal / source
- Journal of the Audio Engineering Society
- Volume
- 74
- Issue
- 1/2
- Pages
- 50–60
- Publication date
- 10 February 2026
- Language
- EN