The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Cet article présente une nouvelle méthode de reconstruction de polynômes trigonométriques, une classe spécifique de signaux à bande limitée, à partir d'un certain nombre de valeurs intégrées de signaux d'entrée. Il est appliqué à la reconstruction du signal, à l’estimation spectrale, à l’identification du système, ainsi qu’à d’autres problèmes importants de traitement du signal. La méthode de traitement proposée peut être utilisée pour des mesures efficaces précises du signal périodique (ou de la puissance et de l'énergie) sur la base de la reconstruction du signal présentée. Sur la base de la valeur de l'intégrale du signal d'entrée (analogique) d'origine, avec un spectre de fréquence connu mais des amplitudes et des phases inconnues, une reconstruction de ses paramètres de base est effectuée au moyen d'expressions analytiques et résumées dérivées. Le calcul ultérieur de tous les indicateurs pertinents liés à la surveillance et au traitement des signaux de tension et de courant alternatifs est ainsi assuré. Simulation informatique démontrant la précision de ces algorithmes. Nous étudions les erreurs liées à la reconstruction du signal et fournissons une limite d'erreur autour de la forme d'onde dans le domaine temporel reconstruite.
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Predrag PETROVIC, "A New Matrix Method for Reconstruction of Band-Limited Periodic Signals from the Sets of Integrated Values" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 6, pp. 1446-1454, June 2008, doi: 10.1093/ietfec/e91-a.6.1446.
Abstract: This paper presents a new method for reconstruction of trigonometric polynomials, a specific class of bandlimited signals, from a number of integrated values of input signals. It is applied in signal reconstruction, spectral estimation, system identification, as well as in other important signal processing problems. The proposed method of processing can be used for precise rms measurements of periodic signal (or power and energy) based on the presented signal reconstruction. Based on the value of the integral of the original input (analogue) signal, with a known frequency spectrum but unknown amplitudes and phases, a reconstruction of its basic parameters is done by the means of derived analytical and summarized expressions. Subsequent calculation of all relevant indicators related to the monitoring and processing of ac voltage and current signals is provided in this manner. Computer simulation demonstrating the precision of these algorithms. We investigate the errors related to the signal reconstruction, and provide an error bound around the reconstructed time domain waveform.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.6.1446/_p
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@ARTICLE{e91-a_6_1446,
author={Predrag PETROVIC, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New Matrix Method for Reconstruction of Band-Limited Periodic Signals from the Sets of Integrated Values},
year={2008},
volume={E91-A},
number={6},
pages={1446-1454},
abstract={This paper presents a new method for reconstruction of trigonometric polynomials, a specific class of bandlimited signals, from a number of integrated values of input signals. It is applied in signal reconstruction, spectral estimation, system identification, as well as in other important signal processing problems. The proposed method of processing can be used for precise rms measurements of periodic signal (or power and energy) based on the presented signal reconstruction. Based on the value of the integral of the original input (analogue) signal, with a known frequency spectrum but unknown amplitudes and phases, a reconstruction of its basic parameters is done by the means of derived analytical and summarized expressions. Subsequent calculation of all relevant indicators related to the monitoring and processing of ac voltage and current signals is provided in this manner. Computer simulation demonstrating the precision of these algorithms. We investigate the errors related to the signal reconstruction, and provide an error bound around the reconstructed time domain waveform.},
keywords={},
doi={10.1093/ietfec/e91-a.6.1446},
ISSN={1745-1337},
month={June},}
Copier
TY - JOUR
TI - A New Matrix Method for Reconstruction of Band-Limited Periodic Signals from the Sets of Integrated Values
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1446
EP - 1454
AU - Predrag PETROVIC
PY - 2008
DO - 10.1093/ietfec/e91-a.6.1446
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2008
AB - This paper presents a new method for reconstruction of trigonometric polynomials, a specific class of bandlimited signals, from a number of integrated values of input signals. It is applied in signal reconstruction, spectral estimation, system identification, as well as in other important signal processing problems. The proposed method of processing can be used for precise rms measurements of periodic signal (or power and energy) based on the presented signal reconstruction. Based on the value of the integral of the original input (analogue) signal, with a known frequency spectrum but unknown amplitudes and phases, a reconstruction of its basic parameters is done by the means of derived analytical and summarized expressions. Subsequent calculation of all relevant indicators related to the monitoring and processing of ac voltage and current signals is provided in this manner. Computer simulation demonstrating the precision of these algorithms. We investigate the errors related to the signal reconstruction, and provide an error bound around the reconstructed time domain waveform.
ER -