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- W2902772043 abstract "An estimation algorithm for the Wigner distribution (time-frequency representation) of the unmeasured states of a linear time-invariant system is presented. Given that the inputs and outputs are measured, the algorithm involves designing a Luenberger-like observer for each frequency of interest. Under noise-free conditions, we show that the es- timates converge to the true Wigner distribution under a detectability assumption on the time-frequency representation. The estimation algorithm provides estimates which converge to a neighbourhood of the true Wigner distribution where its norm is dependent on the norm of the measurement noise. We also illustrate the efficacy of the estimation algorithm on an academic example and a model of neuron populations." @default.
- W2902772043 created "2018-12-11" @default.
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- W2902772043 date "2018-06-01" @default.
- W2902772043 modified "2023-10-03" @default.
- W2902772043 title "Estimating the Wigner distribution of linear time-invariant dynamical systems" @default.
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- W2902772043 doi "https://doi.org/10.23919/ecc.2018.8550149" @default.
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