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1
EN
Very often, we are interested in the shape of a signal or an envelope of the signal or its spectrum. Classical extreme analysis (CEA) produces too many minor details of a signal shape. This fact, in the context of telecommunications, does not allow us to ensure a significant coefficient of a signal compression. Another option for signal analysis, based on the Delta Modulation (DM), lacks sufficient dynamic range at a relatively low sampling rate. One more "true envelope" manner is based on the cepstral analysis, and requires too many operations. Other methods are used for the definition of a signal envelope. The discrete Hilbert transform (DHT) is only expedient to capture an envelope of a narrowband signal and, moreover, requires too many mathematical operations. Other manners based on decimation, as well as the use of a signal rectifying followed by low-pass filtering do not always ensure sufficient accuracy and signal compression coefficient. Fuzzy EA (FEA) is free from similar drawbacks. Its first and second differences are compared with no zero limits, and that allows us to take into consideration only major details of the signal or spectrum shape. Consequently we obtain both an envelope of wideband signal, and a signal significant compression in real time. This article focuses on FEA features connected with the aforementioned tasks. Apart from the FEA algorithm, the article outlines some methods of signal reconstruction after FEA in both domains, and the structure of the FEA specializedprocessor. FEA application in both domains is demonstrated through examples.
2
Content available remote Measuring power system harmonics and interharmonics by envelope spectrum analysis
EN
An envelope spectrum analysis-based algorithm for harmonics and interharmonics estimation is proposed. First the envelope is extracted with narrow band Hilbert transform. Then the spectrum of the envelope and the harmonic components are calculated with windowing and interpolation method. Finally the interharmonic parameters are restored according to amplitude modulation equation. The proposed method has two distinguish features, first, it is able to confirm if the calculated interharmonic components do exist, and second, it is not affected by the spectral leakage caused from the harmonics. Several simulation examples are given to demonstrate the precision, effectiveness, and feasibility.
PL
Zaproponowano algorytm analizy widmowej umożliwiający określanie składowych harmonicznych. Najpierw wydzielana jest obwiednia przy wykorzystaniu wąskopasmowej transformaty Hilberta. Następnie obliczane jest widomo obwiedni i składowych harmonicznych metodami interpolacyjnymi. Wreszcie parametry interharmonicznych są odtwarzane na podstawie równania modulacji amplitudowej. Zaproponowana metoda ma dwie istotne zalety – umożliwia obliczanie składowych interharmonicznych i nie jest obciążona wpływem przecieku od harmonicznych. Zaprezentowano kilka przykładów symulacji potwierdzających skuteczność metody.
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