Péter Gáspár, Zoltán Szabó, József Bokor

Discrete Feedback Systems 1.

Classical Control


A.9.2 Parametric power spectrum density estimation

Non-parametric power spectrum estimation techniques make use of FFT algorithm and are easy to compute. However, there are some limitations which makes them inappropriate to use in certain applications: due to finite length windowing of the data, these methods produce spectral leakage. Because of this, weak signals are masked and are difficult to detect in the estimated PSD. Other limitation is that in order to achieve a desirable frequency resolution non-parametric methods require long data records. Moreover, non-parametric power spectrum estimation techniques don’t make use of the information about the data-generating process in estimating the power spectrum density. Using parametric power spectrum estimation methods, however, it is possible to incorporate a model of the process into the power spectrum estimation techniques to get accurate and potentially better frequency resolution. Since parametric methods make use of the information on the generation of the data, these methods extrapolate the values the autocorrelation for lags mN (as opposed to assuming that the values are zero). This can also avoid the use of window functions and in turn the spectral leakage problem. A signal generation model and its parameters can be estimated from the observed data. This model and the estimated parameters can be then used to compute the power spectrum density. These methods are mostly useful to process short data records.

Discrete Feedback Systems 1.

Tartalomjegyzék


Kiadó: Akadémiai Kiadó

Online megjelenés éve: 2019

ISBN: 978 963 454 372 5

The aim of the book is to provide a well-rounded exposure to analysis, control and simulation of discrete-time systems. Theoretical techniques for studying discrete-time linear systems with particular emphasis on the properties and design of sampled data feedback control systems are introduced. This book is intended to be used as a textbook in our MSc and PhD courses. We have tried to balance the broadness and the depth of the material covered in the book. The interested reader is also sent to consult the publications of the references list.

Hivatkozás: https://mersz.hu/gaspar-szabo-bokor-discrete-feedback-systems-1//

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