Applying the spectral method for modeling linear filters: Butterworth, Linkwitz–Riley, and Chebyshev filters
Abstract
This paper proposes a new technique for computer modeling linear filters based on the spectral form of mathematical description of linear systems. It assumes the representation of input and output signals of the filter as orthogonal expansions, while filters themselves are described by two-dimensional non-stationary transfer functions. This technique allows one to model the output signal in continuous time, and it is successfully tested on the Butterworth, Linkwitz–Riley, and Chebyshev filters with different orders.
Fields of Study & Subjects
Digital Filter Design and Implementation
Control Systems and Identification
Model Reduction and Neural Networks
Publication details
- Journal / source
- Franklin Open
- Volume
- 14
- Pages
- 100508–100508
- Publication date
- 15 January 2026
- Language
- EN