Kernel-Based Impulse Response Estimation Using Perturbation Signals With Harmonic Suppression


Tan, Ai Hui (2023) Kernel-Based Impulse Response Estimation Using Perturbation Signals With Harmonic Suppression. IEEE Control Systems Letters, 7. pp. 607-612. ISSN 2475-1456

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This letter proposes the use of perturbation signals with harmonic suppression for kernel-based (KB) impulse response estimation of the underlying linear dynamics of a system corrupted by nonlinear distortion. In particular, signals with harmonic multiples of two suppressed can eliminate the effects of even order nonlinear distortion on the linear estimate, whereas signals with harmonic multiples of two and three suppressed can further reduce the effects of odd order nonlinear distortion, significantly improving the estimation accuracy. It is shown that the KB formulation effectively avoids the lack of persistency of excitation problem encountered in the classical least squares when such signals are applied, thus allowing a shorter experimentation time. An application on an electronic nose achieves a drastic reduction in the output mean square error by a factor of 9.2 through the utilization of a signal with harmonic suppression.

Item Type: Article
Uncontrolled Keywords: Estimation, Nonlinear distortion, Harmonic analysis, Harmonics suppression, Perturbation methods, Time measurement, Kernel
Subjects: T Technology > TA Engineering (General). Civil engineering (General) > TA1501-1820 Applied optics. Photonics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Nurul Iqtiani Ahmad
Date Deposited: 07 Feb 2023 06:42
Last Modified: 07 Feb 2023 06:42


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