Title :
Analysis of systematic errors of frequency and damping estimation by interpolated DFT BY1 algorithm
Author_Institution :
Dept. of Meas., AGH Univ. of Sci. & Technol., Kraków, Poland
Abstract :
This paper discusses systematic errors of frequency and damping estimation by Bertocco-Yoshida order 1 (BY1) interpolated DFT (IpDFT) algorithm. Systematic errors are caused by the spectral leakage and may be unacceptable high especially for the signal containing small number of oscillations. It is shown by comparison with Cramér-Rao Lower Bound (CRLB) that systematic errors may be significantly higher then estimation variance caused by additive Gaussian noise even for quite low (30-35 dB) signal to noise ratio. Systematic errors depend on signal phase, but quite surprisingly the maximum of those errors for frequency and damping estimation occurs for different signal phase.
Keywords :
Gaussian noise; damping; discrete Fourier transforms; estimation theory; interpolation; oscillations; signal processing; Bertocco-Yoshida order 1; CRLB; Cramér-Rao lower bound; IpDFT algorithm; additive Gaussian noise; damping estimation; interpolated DFT BY1 algorithm; noise figure 30 dB to 35 dB; oscillation; signal to noise ratio phase; spectral leakage; systematic frequency error analysis; variance estimation; Damping; Discrete Fourier transforms; Estimation error; Frequency estimation; Noise; Systematics;
Conference_Titel :
Signals and Electronic Systems (ICSES), 2012 International Conference on
Conference_Location :
Wroclaw
Print_ISBN :
978-1-4673-1710-8
Electronic_ISBN :
978-1-4673-1709-2
DOI :
10.1109/ICSES.2012.6382252
