Influence of the noise on the amplitude estimation of a sine-wave by the three-point Interpolated DFT method

2019

J. eng.

Section: Introductionmentioning

confidence: 99%

Fast and accurate estimation of multifrequency signals with noise and harmonics in control of photovoltaic systems

2019

J. eng.

“…For example, in some parametric methods the Gohberg-Semencul procedure can be used to solve equations based on the Toeplitz matrix while the spectrum interpolation is widely used to improve accuracy in the Fourier methods [14]. In particular, the spectrum interpolation methods (IpDFT -Interpolated DFT) have been very popular in the recent years, as well as MWIDFT (Multipoint Weighted Interpolation of DFT) methods where spectrum points around the main lobe are weighted properly in dependence on the method [6,[15][16][17][18][19][20][21][22][23][24]. To reduce the spectrum leakage time windows other than the rectangle window are used.…”

Section: Introductionmentioning

confidence: 99%

Metrology and Measurement Systems

Mroczka

2018

The paper deals with frequency estimation methods of sine-wave signals for a few signal cycles and consists of two parts. The first part contains a short overview where analytical error formulae for a signal distorted by noise and harmonics are presented. These formulae are compared with other accurate equations presented previously by the authors which are even more accurate below one cycle in the measurement window. The second part contains a comparison of eight estimation methods (ESPRIT, TLS, Prony LS, a newly developed IpDFT method and four other 3-point IpDFT methods) in respect of calculation time and accuracy for an ideal sine-wave signal, signal distorted by AWGN noise and a signal distorted by harmonics. The number of signal cycles is limited from 0.1 to 3 or 5. The results enable to select the most accurate/ fastest estimation method in various measurement conditions. Parametric methods are more accurate but also much slower than IpDFT methods (up to 3000 times for the number of samples equal to 5000). The presented method is more accurate than other IpDFT methods and much faster than parametric methods, which makes it possible to use it as an alternative, especially in real-time applications.

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Frequency Estimation of Multifrequency Signals Based on the 3-Point and 4-Point Spectrum Interpolation for Short Measurement Time in PV Systems

2018 IEEE International Conference on Environment and Electrical Engineering and 2018 IEEE Industrial and Commercial Power Syst

Mroczka

2018