A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation

Li, Ye; Liu, K.J.R.; Razavilar, J.

doi:10.1109/78.554314

Cited by 60 publications

(7 citation statements)

References 9 publications

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“…For damped signals, Prony's method can be used but is known to give inconsistent estimates [4], to be numerically unstable and to show poor performance if noise is present. Damped MUSIC (DMUSIC [5,6]), which is an extension of MUSIC also applicable for damped noisy signals, will be used in the following. Since this method does not seem to belong to common knowledge, its basic idea is briefly presented here.…”

Section: Dmusicmentioning

confidence: 99%

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Modern methods of signal processing applied to gyrokinetic simulations

Kleiber

Borchardt

Könies

et al. 2021

Plasma Phys. Control. Fusion

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Numerical simulations, like the ones necessary for e.g. electromagnetic gyrokinetic models in plasma physics, require large computational resources and long run times. Using tools from signal processing, it is possible to draw conclusions about frequencies, damping rates and mode structures using shorter runs. These tools can also be applied to analyse transient signals. We give a pedagogical review of two contemporary methods from signal processing: damped multiple signal classification and stochastic system identification. An application to simulations of Alfvén modes in a tokamak is presented.

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Section: Dmusicmentioning

confidence: 99%

“…It is interesting to note that the DMUSIC algorithm can also be interpreted as a method to provide a rank-K matrix approximation of the prediction matrix A which preserves its Hankel matrix structure [5].…”

Section: Dmusicmentioning

confidence: 99%

Modern methods of signal processing applied to gyrokinetic simulations

Kleiber

Borchardt

Könies

et al. 2021

Plasma Phys. Control. Fusion

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“…pellet [48] and Tespel injection [49] or sawtooth-like plasma crashes due to externally driven plasma currents [40]) and in case of partly weak Alfvénic broadband fluctuation activity, the simple FFT analysis often remains insufficient in terms of frequency resolution versus time range length [50]. Therefore in addition the advanced parametric DMusic algorithm (Damped Multiple signal classification [51][52][53]) is used for calculating spectrograms. Features of interest, which are barely visible in standard FFT spectrograms, can become much more clearly pronounced, whereas in the corresponding context other less important features may fade or even vanish.…”

Section: Data Analysis Techniquesmentioning

confidence: 99%

Alfvénic fluctuations measured by in-vessel Mirnov coils at the Wendelstein 7-X stellarator

Thomsen

Schilling

Mendes

et al. 2020

Plasma Phys. Control. Fusion

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The magnetic diagnostic system at the optimized stellarator experiment Wendelstein 7-X (W7-X) includes a total number of 125 Mirnov coils, which are mounted at the inner plasma vessel wall. A wide range of expected signal amplitudes, frequencies and mode numbers is covered to account for the complex three-dimensional geometry of W7-X. The performed amplitude and phase calibration of individual coils including all relevant data acquisition system components allows a detailed spectral and mode analysis. The damped multiple signal classification method and stochastic system identification techniques are shortly described and applied. Two observations are emphasized within this work. Firstly, independent of magnetic configuration and heating scenario (electron cyclotron resonance heating and/or neutral beam injection), broadband fluctuations around 180 kHz have been measured. The nature of these fluctuations is possibly associated with ellipticity-induced Alfvén eigenmodes in the outer regions of the plasma. The latter was inferred by studying corresponding theoretically predicted Alfvén continua calculated with the 3D-MHD continuum code CONTI. Secondly, fast collapses of plasma current and energy, which occurred during recent operational phases at W7-X, show a clear magnetic signature. Short time scale Alfvénic bursts are revealed, which are induced during these sawtooth-like collapses.

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“…Besides, the Hankel matrix constructed by the ideal signal without noise has the rank-deficient attribute. The observation matrix reconstructed by SVD in the traditional MP algorithm only has the rank-deficient attribute but lacks the Hankel structure, which means the observation matrix is biased and may cause a significant error in the estimation of modal parameters [9].…”

Section: Introductionmentioning

confidence: 99%

An Improved MP Algorithm for Power System Mode Identification

Meng,

Liu,

et al. 2024

J. Phys.: Conf. Ser.

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An improved matrix pencil (MP) algorithm for power system mode identification has been proposed in this paper. Aiming at the problem of inaccurate order determined by the singular value decomposition (SVD) step in traditional MP algorithms and the lack of Hankel structure in the reconstructed matrix, which leads to inaccurate identification under low signal-to-noise ratio (SNR) condition, singular entropy order determination is introduced. An iterative algorithm is proposed to calculate a reconstructed matrix with both Hankel structure and rank-deficient attributes. This reconstruction matrix has a better approximation effect and improves the identification accuracy of the MP algorithm under low SNR. The effectiveness of the proposed algorithm was verified by modal parameter identification of numerical signals and oscillation signals of the 4-machine and 2-area systems. The algorithm proposed in low SNR has higher accuracy than the traditional MP algorithm, and the reconstructed signal has a better fitting effect.

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A parameter estimation scheme for damped sinusoidal signals based on low-rank Hankel approximation

Cited by 60 publications

References 9 publications

Modern methods of signal processing applied to gyrokinetic simulations

Modern methods of signal processing applied to gyrokinetic simulations

Alfvénic fluctuations measured by in-vessel Mirnov coils at the Wendelstein 7-X stellarator

An Improved MP Algorithm for Power System Mode Identification

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