Band limited impulse invariance method
Band limited impulse invariance method
We propose the band-limited impulse invariance method, which models a continuous-time LTI system in the discrete-time domain with high accuracy. A given system function in the Laplace domain is realized in the z-domain as a parallel connection of IIR and FIR filters. The IIR part is obtained by using the conventional impulse invariance method, whereas the FIR part is designed in such a way that it suppresses the aliasing occurring in the IIR filter. The FIR coefficients are derived analytically from a band-limited representation of the continuous-time impulse response. The accuracy of the discrete-time model is readily adjusted by the FIR length.
209-213
Hahn, Nara
9c5cb8ff-b351-40ff-974b-9635a790ec16
Schultz, Frank
be3b9f69-2f4b-43cf-a63a-49c83f682696
Spors, Sascha
b6b8edac-0bff-403a-9281-df22c62da941
Hahn, Nara
9c5cb8ff-b351-40ff-974b-9635a790ec16
Schultz, Frank
be3b9f69-2f4b-43cf-a63a-49c83f682696
Spors, Sascha
b6b8edac-0bff-403a-9281-df22c62da941
Hahn, Nara, Schultz, Frank and Spors, Sascha
(2022)
Band limited impulse invariance method.
In 2022 30th European Signal Processing Conference (EUSIPCO).
IEEE.
.
(doi:10.23919/EUSIPCO55093.2022.9909577).
Record type:
Conference or Workshop Item
(Paper)
Abstract
We propose the band-limited impulse invariance method, which models a continuous-time LTI system in the discrete-time domain with high accuracy. A given system function in the Laplace domain is realized in the z-domain as a parallel connection of IIR and FIR filters. The IIR part is obtained by using the conventional impulse invariance method, whereas the FIR part is designed in such a way that it suppresses the aliasing occurring in the IIR filter. The FIR coefficients are derived analytically from a band-limited representation of the continuous-time impulse response. The accuracy of the discrete-time model is readily adjusted by the FIR length.
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e-pub ahead of print date: 18 October 2022
Venue - Dates:
30th European Signal Processing Conference, , Belgrade, Serbia, 2022-08-29 - 2022-09-02
Identifiers
Local EPrints ID: 487074
URI: http://eprints.soton.ac.uk/id/eprint/487074
PURE UUID: 90af1b33-1110-4b5f-9395-4c6855242ed0
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Date deposited: 13 Feb 2024 17:30
Last modified: 18 Mar 2024 04:05
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Contributors
Author:
Nara Hahn
Author:
Frank Schultz
Author:
Sascha Spors
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