Temat: zero padding - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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

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