Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis

This paper explores an adaptive centre-frequency bandpass state-space digital filter by expanding a sign algorithm into the gradient-based method. To this end, a simple method for deriving a bandpass state-space digital filter with tuneable centre-frequency from a prototype low-pass filter and low-p...

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Main Authors: Yoichi Hinamoto, Akimitsu Doi
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:SICE Journal of Control, Measurement, and System Integration
Subjects:
Online Access:http://dx.doi.org/10.1080/18824889.2024.2445373
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author Yoichi Hinamoto
Akimitsu Doi
author_facet Yoichi Hinamoto
Akimitsu Doi
author_sort Yoichi Hinamoto
collection DOAJ
description This paper explores an adaptive centre-frequency bandpass state-space digital filter by expanding a sign algorithm into the gradient-based method. To this end, a simple method for deriving a bandpass state-space digital filter with tuneable centre-frequency from a prototype low-pass filter and low-pass/bandpass transformation is presented. An adaptive iterative algorithm is then developed by expanding a sign algorithm into the gradient-based method. Also, $ l_2 $ -sensitivities for the bandpass state-space digital filter with tuneable centre-frequency are analysed where an $ l_2 $ -sensitivity measure for evaluating the whole $ l_2 $ -sensitivities is deduced. Numerical experiments are included to demonstrate the validity and effectiveness of the adaptive centre-frequency bandpass state-space digital filter and the $ l_2 $ -sensitivity analysis.
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institution Kabale University
issn 1884-9970
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publishDate 2025-12-01
publisher Taylor & Francis Group
record_format Article
series SICE Journal of Control, Measurement, and System Integration
spelling doaj-art-a943f719a2464aa08b1c6ce7ce0b9fe32025-01-02T11:44:28ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702025-12-0118110.1080/18824889.2024.24453732445373Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysisYoichi Hinamoto0Akimitsu Doi1Kagawa CollegeHiroshima Institute of TechnologyThis paper explores an adaptive centre-frequency bandpass state-space digital filter by expanding a sign algorithm into the gradient-based method. To this end, a simple method for deriving a bandpass state-space digital filter with tuneable centre-frequency from a prototype low-pass filter and low-pass/bandpass transformation is presented. An adaptive iterative algorithm is then developed by expanding a sign algorithm into the gradient-based method. Also, $ l_2 $ -sensitivities for the bandpass state-space digital filter with tuneable centre-frequency are analysed where an $ l_2 $ -sensitivity measure for evaluating the whole $ l_2 $ -sensitivities is deduced. Numerical experiments are included to demonstrate the validity and effectiveness of the adaptive centre-frequency bandpass state-space digital filter and the $ l_2 $ -sensitivity analysis.http://dx.doi.org/10.1080/18824889.2024.2445373adaptive centre-frequencybandpass digital filtergradient-based method $ l_2 $ -sensitivity analysissign algorithmstate-space approach
spellingShingle Yoichi Hinamoto
Akimitsu Doi
Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
SICE Journal of Control, Measurement, and System Integration
adaptive centre-frequency
bandpass digital filter
gradient-based method
$ l_2 $ -sensitivity analysis
sign algorithm
state-space approach
title Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
title_full Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
title_fullStr Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
title_full_unstemmed Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
title_short Adaptive centre-frequency bandpass state-space digital filters and their l2-sensitivity analysis
title_sort adaptive centre frequency bandpass state space digital filters and their l2 sensitivity analysis
topic adaptive centre-frequency
bandpass digital filter
gradient-based method
$ l_2 $ -sensitivity analysis
sign algorithm
state-space approach
url http://dx.doi.org/10.1080/18824889.2024.2445373
work_keys_str_mv AT yoichihinamoto adaptivecentrefrequencybandpassstatespacedigitalfiltersandtheirl2sensitivityanalysis
AT akimitsudoi adaptivecentrefrequencybandpassstatespacedigitalfiltersandtheirl2sensitivityanalysis