Design and convergence analysis of stochastic frequency estimator using contraction theory
IR@NAL: CSIR-National Aerospace Laboratories, Bangalore
View Archive Info| Field | Value | |
| Title |
Design and convergence analysis of stochastic frequency estimator using contraction theory
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| Creator |
Majeed, M
Kar, IN |
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| Subject |
Aeronautics (General)
Aerodynamics |
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| Description |
This study investigates the design and analysis of an estimator for unknown frequencies of a sinusoid in the presence of additive noise. A dynamic stochastic estimator is proposed to ensure simultaneous globally convergent estimation of the state and the frequencies of a sinusoid comprising multiple frequencies. Approach given in this study exploits the results of stochastic contraction theory and the observers. The concept of contraction theory related to semi-contracting systems is used to show
the asymptotic convergence of the proposed non-linear estimator. The boundedness and convergence of the state and
frequencies estimates for all initial conditions and frequency values has been shown analytically. The proposed estimator is generalised to estimate n-unknown frequencies of a given noisy sinusoid. Numerical simulations of estimator are presented for different combinations of frequencies to justify the claim.
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| Publisher |
Institution of Engineering and Technology
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| Date |
2013
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| Type |
Journal Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://nal-ir.nal.res.in/11943/1/06547271.pdf
Majeed, M and Kar, IN (2013) Design and convergence analysis of stochastic frequency estimator using contraction theory. IET Signal Process, 7 (5). pp. 389-399. ISSN 1751-9675 |
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| Relation |
http://dx.doi.org/10.1049/iet-spr.2012.0251
http://nal-ir.nal.res.in/11943/ |
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