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.

JO - Metrology and Measurement Systems L1 - http://journals.pan.pl/Content/90012/PDF/Journal10178-VolumeXIXIssue4_05.pdf L2 - http://journals.pan.pl/Content/90012 PY - 2012 IS - No 4 EP - 684 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 JF - Metrology and Measurement Systems DA - 2012 T1 - Systematic Errors of the Lidft Method: Analytical form and Verification by a Monte Carlo Method SP - 673 UR - http://journals.pan.pl/dlibra/docmetadata?id=90012 DOI - 10.2478/v10178-012-0059-y ER -