2005
DOI: 10.1109/tim.2004.840244
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Resonator-Based Nonparametric Identification of Linear Systems

Abstract: AbstraeC A noq"ebic i&nti&&n method for linear system is proposed The i & n t i m n is done v i a synchronized mdtisine measurements whem the sywhronidon is ensured by a resonator based generator-o b server p i x The advantuge of the pposed sftucture is that it works as a fiuer lwtR andpvkies the measrement results omfine. Exponemi2 avemging is an option of the me#wdandPrequin?s 110 extm c o l c~i z s. A further advmrfqge is that the & n t i. n m be done over anyjkquenq set wiulout any loss of Mornmnce. Explic… Show more

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Cited by 9 publications
(8 citation statements)
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“…At the expense of slower convergence, the α N parameter in (2.10) can be used to control the bandwidth of the resonator channels. As shown in figure 3, this can ensure an appropriate frequency selectivity, without impacting on the stability of the processing, while reducing noise in the acquisition [18]. We then turned some of the individual resonator positions into resonator triplets.…”
Section: Tailoring the Fourier Analyzer To The Applicationmentioning
confidence: 99%
“…At the expense of slower convergence, the α N parameter in (2.10) can be used to control the bandwidth of the resonator channels. As shown in figure 3, this can ensure an appropriate frequency selectivity, without impacting on the stability of the processing, while reducing noise in the acquisition [18]. We then turned some of the individual resonator positions into resonator triplets.…”
Section: Tailoring the Fourier Analyzer To The Applicationmentioning
confidence: 99%
“…For β small enough (which is usually granted in practical cases) the RBO is able to work over an arbitrary frequency set with similar convergence characteristics [6]. The "rows" in Fig.…”
Section: B Resonator-based Observermentioning
confidence: 99%
“…If 0 < α < 1, the Fourier coefficient estimates are exponentially averaged [6] with an equivalent time constant of…”
Section: B Resonator-based Observermentioning
confidence: 99%
“…This structure is highly stable and insensitive to numerical precision errors due to its control feedback loop [14]. Moreover, its added benefit is that it can be used efficiently for various applications, such as frequency estimation [15], [16], system identification [17] or digital filtering [13]. The disadvantage of this structure is that all the frequency bins -not just the ones of interest -must be calculated, as an observer first deconstructs the signal then reconstructs an estimation which is also used for the global control feedback loop.…”
Section: Introductionmentioning
confidence: 99%