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Wyszukujesz frazę "interpolated DFT" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
Estimation of the amplitude square using the interpolated Discrete Fourier Transform
Autorzy:
Lušin, T.
Agrež, D.
Powiązania:
https://bibliotekanauki.pl/articles/220579.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
estimation
amplitude square
spectral data processing
interpolated DFT
Hann window
Opis:
To improve the estimation of active power, the possibility of estimating the amplitude square of a signal component using the interpolation of the squared amplitude discrete Fourier transform (DFT) coefficients is presented. As with an energy-based approach, the amplitude square can be estimated with the squared amplitude DFT coefficients around the component peak and a suitable interpolation algorithm. The use of the Hann window, for which the frequency spectrum is well known, and the three largest local amplitude DFT coefficients gives lower systematic errors in squared interpolated approach or in better interpolated squared approach than the energy-based approach, although the frequency has to be estimated in the first step. All investigated algorithms have almost the same noise propagation and the standard deviations are about two times larger than the Cramér-Rao lower bound.
Źródło:
Metrology and Measurement Systems; 2011, 18, 4; 583-596
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimization of maximum errors in universal approximation of the unit circle by a polygon
Autorzy:
Borkowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/221779.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
unit circle
approximation by polygon
LIDFT
interpolated DFT
zero padding
Opis:
This paper presents a universal approximation of the unit circle by a polygon that can be used in signal processing algorithms. Optimal choice of the values of three parameters of this approximation allows one to obtain a high accuracy of approximation. The approximation described in the paper has a universal character and can be used in many signal processing algorithms, such as DFT, that use the mathematical form of the unit circle. One of the applications of the described approximation is the DFT linear interpolation method (LIDFT). Applying the results of the presented paper to improve the LIDFT method allows one to significantly decrease the errors in estimating the amplitudes and frequencies of multifrequency signal components. The paper presents the derived formulas, an analysis of the approximation accuracy and the region of best values for the approximation parameters.
Źródło:
Metrology and Measurement Systems; 2011, 18, 3; 391-402
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of continuous change of α parameter in the interpolated DFT algorithm for cosα(X) windows
Autorzy:
Barczentewicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/114624.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
DFT analysis
interpolated DFT
estimation of frequency channel number
cosα(X) windows
Opis:
Currently known IpDFT algorithms use the cosα(X) windows with the step change of the window’s order. This work presents IpDFT method designed for the signal analyzed with cosα(X) window, which allows continuous change of the window’s parameter α, so that a full regulation of the sidelobes position becomes possible. Proposed algorithm is a generalization of known IpDFT solutions for cosα(X) windows.
Źródło:
Measurement Automation Monitoring; 2015, 61, 4; 90-91
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous and discontinuous linear approximation of the window spectrum by least squares method
Autorzy:
Borkowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/221777.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
data window
spectrum approximation
interpolated DFT
LIDFT
spectrum estimation
zero padding
Opis:
This paper presents the general solution of the least-squares approximation of the frequency characteristic of the data window by linear functions combined with zero padding technique. The approximation characteristic can be discontinuous or continuous, what depends on the value of one approximation parameter. The approximation solution has an analytical form and therefore the results have universal character. The paper presents derived formulas, analysis of approximation accuracy, the exemplary characteristics and conclusions, which confirm high accuracy of the approximation. The presented solution is applicable to estimating methods, like the LIDFT method, visualizations, etc.
Źródło:
Metrology and Measurement Systems; 2011, 18, 3; 379-390
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Frequency and Damping Estimation Methods - An Overview
Autorzy:
Zieliński, T. P.
Duda, K.
Powiązania:
https://bibliotekanauki.pl/articles/220581.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
damped sinusoids
frequency estimation
damping estimation
linear prediction
subspace methods
interpolated DFT
Opis:
This overview paper presents and compares different methods traditionally used for estimating damped sinusoid parameters. Firstly, direct nonlinear least squares fitting the signal model in the time and frequency domains are described. Next, possible applications of the Hilbert transform for signal demodulation are presented. Then, a wide range of autoregressive modelling methods, valid for damped sinusoids, are discussed, in which frequency and damping are estimated from calculated signal linear self-prediction coefficients. These methods aim at solving, directly or using least squares, a matrix linear equation in which signal or its autocorrelation function samples are used. The Prony, Steiglitz-McBride, Kumaresan-Tufts, Total Least Squares, Matrix Pencil, Yule-Walker and Pisarenko methods are taken into account. Finally, the interpolated discrete Fourier transform is presented with examples of Bertocco, Yoshida, and Agrež algorithms. The Matlab codes of all the discussed methods are given. The second part of the paper presents simulation results, compared with the Cramér-Rao lower bound and commented. All tested methods are compared with respect to their accuracy (systematic errors), noise robustness, required signal length, and computational complexity.
Źródło:
Metrology and Measurement Systems; 2011, 18, 4; 505-528
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Systematic errors of the LIDFT method: analytical form and verification by a Monte Carlo method
Autorzy:
Borkowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/221176.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
LIDFT
multifrequency signal
interpolated DFT
spectrum estimation
zero padding
unit circle
approximation by polygon
Opis:
This paper derives analytical formulas for the systematic errors of the linear interpolated DFT (LIDFT) method when used to estimating multifrequency signal parameters and verifies this analysis using Monte-Carlo simulations. The analysis is performed on the version of the LIDFT method based on optimal approximation of the unit circle by a polygon using a pair of windows. The analytical formulas derived here take the systematic errors in the estimation of amplitude and frequency of component oscillations in the multifrequency signal as the sum of basic errors and the errors caused by each of the component oscillations. Additional formulas are also included to analyze particular quantities such as a signal consisting of two complex oscillations, and the analyses are verified using Monte-Carlo simulations.
Źródło:
Metrology and Measurement Systems; 2012, 19, 4; 673-684
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interpolated-DFT-Based Fast and Accurate Amplitude and Phase Estimation for the Control of Power
Autorzy:
Borkowski, J.
Kania, D.
Powiązania:
https://bibliotekanauki.pl/articles/221570.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
control of power
grid signal
amplitude and phase estimation
renewable energy
interpolated DFT
maximum decay side-lobes windows
Opis:
Quality of energy produced in renewable energy systems has to be at the high level specified by respective standards and directives. One of the most important factors affecting quality is the estimation accuracy of grid signal parameters. This paper presents a method of a very fast and accurate amplitude and phase grid signal estimation using the Fast Fourier Transform procedure and maximum decay side-lobes windows. The most important features of the method are elimination of the impact associated with the conjugate’s component on the results and its straightforward implementation. Moreover, the measurement time is very short ‒ even far less than one period of the grid signal. The influence of harmonics on the results is reduced by using a bandpass pre-filter. Even using a 40 dB FIR pre-filter for the grid signal with THD ≈ 38%, SNR ≈ 53 dB and a 20‒30% slow decay exponential drift the maximum estimation errors in a real-time DSP system for 512 samples are approximately 1% for the amplitude and approximately 8.5・10‒2 rad for the phase, respectively. The errors are smaller by several orders of magnitude with using more accurate pre-filters.
Źródło:
Metrology and Measurement Systems; 2016, 23, 1; 13-26
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement
Krytyczna analiza zastosowań transformaty Hilberta do obliczeń logarytmicznego dekrementu tłumienia
Autorzy:
Majewski, M.
Magalas, L. B.
Powiązania:
https://bibliotekanauki.pl/articles/353996.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
logarithmic decrement
internal friction
mechanical spectroscopy
Hilbert transform
envelope
interpolated discrete Fourier transform DFT
dekrementacja logarytmiczna
tarcie wewnętrzne
spektroskopia mechaniczna
transformacja Hilberta
obwiednia
interpolowana dyskretna transformata Fouriera DFT
Opis:
The parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) and a novel Hilbert-twin (H-twin) methods are advocated for computing the logarithmic decrement in the field of internal friction and mechanical spectroscopy of solids. It is shown that dispersion in experimental points results mainly from the selection of the computing methods, the number of oscillations, and noise. It is demonstrated that conventional Hilbert transform method suffers from high dispersion in internal friction values. It is unequivocally demonstrated that the Hilbert-twin method, which yields a ‘true envelope’ for exponentially damped harmonic oscillations is superior to conventional Hilbert transform method. The ‘true envelope’ of free decaying strain signals calculated from the Hilbert-twin method yields excellent estimation of the logarithmic decrement in metals, alloys, and solids.
Do estymacji logarytmicznego dekrementu tłumienia w spektroskopii mechanicznej i w badaniach tarcia wewnętrznego ciał stałych zarekomendowano w pracy następujące metody obliczeniowe: metodę parametryczną OMI (Optimization in Multiple Intervals), metodę Yoshida-Magalas (YM) i nową metodę Hilbert-twin (H-twin). Wykazano, że dyspersja punktów eksperymentalnych logarytmicznego dekrementu tłumienia i tarcia wewnętrznego zdeterminowana jest przede wszystkim wyborem metody obliczeniowej, liczbą oscylacji i obecnością szumu w dyskretnych sygnałach odkształceń sprężystych badanych materiałów. Zastosowanie do obliczeń logarytmicznego dekrementu tłumienia klasycznej transformaty Hilberta powoduje bardzo dużą dyspersję punktów eksperymentalnych. W pracy wykazano, że metoda Hilbert-twin (transformata Hilberta zbliźniakowanego dyskretnego sygnału odkształceń sprężystych) po raz pierwszy umożliwia uzyskanie „prawdziwej obwiedni” wykładniczo tłumionych drgań harmonicznych próbki. Nowa metoda obliczeń „prawdziwej obwiedni” umożliwia bardzo dokładną estymację logarytmicznego dekrementu tłumienia w materiałach metalicznych i w ciałach stałych.
Źródło:
Archives of Metallurgy and Materials; 2015, 60, 2A; 1105-1108
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

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