Title :
The Influence of Windowing on Bias and Variance of DFT-Based Frequency and Phase Estimation
Author :
Schuster, Stefan ; Scheiblhofer, Stefan ; Stelzer, Andreas
Author_Institution :
Inst. for Commun. & Inf. Eng., Johannes Kepler Univ., Linz
fDate :
6/1/2009 12:00:00 AM
Abstract :
In sinusoidal parameter-estimation problems for measurement applications, discrete spectra with high dynamic range are often under investigation. To suppress unwanted interference effects (ldquoleakagerdquo) in the discrete Fourier transform (DFT) spectrum, the application of data windows is common practice. In this paper, the influence of windowing on the bias and variance of the frequency and phase estimates, calculated via the DFT, is investigated. Furthermore, the effect of choosing different sampling start times on both the bias and the variance is discussed.
Keywords :
discrete Fourier transforms; frequency estimation; interference suppression; phase estimation; DFT-based frequency estimation; data windows; discrete Fourier transform spectrum; discrete spectra; interference suppression; phase estimation; sinusoidal parameter-estimation problems; Cramér–Rao lower bound (CRLB); CramÉr–Rao lower bound (CRLB); frequency estimation; periodogram; phase estimation; sinusoidal parameter estimation; windowing;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
DOI :
10.1109/TIM.2008.2006131
