TY - JOUR
N2 - This paper derives analytical formulas for the systematic errors of the linear interpolated DFT (LIDFT) method when used to estimating multifrequency signal parameters and verifies this analysis using Monte-Carlo simulations. The analysis is performed on the version of the LIDFT method based on optimal approximation of the unit circle by a polygon using a pair of windows. The analytical formulas derived here take the systematic errors in the estimation of amplitude and frequency of component oscillations in the multifrequency signal as the sum of basic errors and the errors caused by each of the component oscillations. Additional formulas are also included to analyze particular quantities such as a signal consisting of two complex oscillations, and the analyses are verified using Monte-Carlo simulations.
L1 - http://www.czasopisma.pan.pl/Content/90012/PDF/Journal10178-VolumeXIXIssue4_05.pdf
L2 - http://www.czasopisma.pan.pl/Content/90012
PY - 2012
IS - No 4
EP - 684
DO - 10.2478/v10178-012-0059-y
KW - LIDFT
KW - multifrequency signal
KW - interpolated DFT
KW - spectrum estimation
KW - zero padding
KW - unit circle
KW - approximation by polygon.
A1 - Borkowski, Józef
PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation
DA - 2012
T1 - Systematic Errors of the Lidft Method: Analytical form and Verification by a Monte Carlo Method
SP - 673
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/90012
T2 - Metrology and Measurement Systems
ER -