The non-parametric amplitude estimation using MSL windows

Tomaž Lušin, Damir Ilic, Dušan Agrež

Abstract

The error reduction of the non-parametric amplitude estimation of the periodic signals with the three-point interpolated discrete Fourier transform (DFT) using cosine windows is presented. The paper analyzes and compares the systematic bias errors and the noise error behavior of the amplitude estimation changing the order of Rife-Vincent windows class I (RV1), which are designed for maximization of the window spectrum side-lobe fall-off, and minimum side-lobe level (MSL) windows, which are designed for minimization of the energy in the window spectrum main lobe. The lowest systematic bias errors can be found with the MSL windows and at the same time they better suppress the noise error contribution owed to smaller equivalent noise bandwidth (ENBW) than RV1 windows with the same order.

Keywords

Amplitude, nonparametric estimation, DFT, Rife-Vincent windows class I, MSL windows

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IMEKO-TC4-2014-212.pdf

DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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