This paper presents the general solution of the least-squares approximation of the frequency characteristic of the data window by linear functions combined with zero padding technique. The approximation characteristic can be discontinuous or continuous, what depends on the value of one approximation parameter. The approximation solution has an analytical form and therefore the results have universal character. The paper presents derived formulas, analysis of approximation accuracy, the exemplary characteristics and conclusions, which confirm high accuracy of the approximation. The presented solution is applicable to estimating methods, like the LIDFT method, visualizations, etc.

JO - Metrology and Measurement Systems L1 - http://rhis.czasopisma.pan.pl/Content/89795/PDF/Journal10178-VolumeXVIII+Issue3_05paper.pdf L2 - http://rhis.czasopisma.pan.pl/Content/89795 IS - No 3 EP - 390 KW - data window KW - spectrum approximation KW - interpolated DFT KW - LIDFT KW - spectrum estimation KW - zero padding ER - A1 - Borkowski, Józef PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation JF - Metrology and Measurement Systems SP - 379 T1 - Continuous and Discontinuous Linear Approximation of the Window Spectrum by Least Squares Method UR - http://rhis.czasopisma.pan.pl/dlibra/docmetadata?id=89795 DOI - 10.2478/v10178-011-0005-y