000001880 001__ 1880
000001880 005__ 20141118153451.0
000001880 04107 $$acze
000001880 046__ $$k2011-05-09
000001880 100__ $$aHotař, V.
000001880 24500 $$aEEE – METHOD BASED ON FRACTAL DIMENSION FOR ANALYSIS OF TIME SERIES 

000001880 24630 $$n17.$$pEngineering Mechanics 2011
000001880 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000001880 506__ $$arestricted
000001880 520__ $$2eng$$aIn our research we have developed a new analysis of topological one-dimensional objects (especially time series or dividing lines): Evaluation of length changes with Elimination of insignificant Extremes. The method, useful for complex data, stems from an estimation of the fractal dimension, so it measures changes of lengths in sequential steps. The EEE method does not use a “ruler” for measurement, but the line is defined by local extremes (maxima and minima). The extremes are eliminated and the length of the function, which is linear by parts, is measured. The lengths are plotted in relation to the number of all steps and the plot is evaluated. Mathematically generated functions (e.g. based on the Hurst coefficient), time series from real production processes and dividing lines (surface profiles and surface roughness) were used for the first experiment. The results show good potential for applications in measurement in off-line evaluations of data sets and on-line monitoring and control.

000001880 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000001880 653__ $$aFractal dimension, time series, dividing line, Hurst coefficient.

000001880 7112_ $$aEngineering Mechanics 2011$$cSvratka (CZ)$$d2011-05-09 / 2011-05-12$$gEM2011
000001880 720__ $$aHotař, V.$$iSalač, P.
000001880 8560_ $$ffischerc@itam.cas.cz
000001880 8564_ $$s749000$$uhttps://invenio.itam.cas.cz/record/1880/files/p042.pdf$$y
             Original version of the author's contribution as presented on book, page 207.
            
000001880 962__ $$r1835
000001880 980__ $$aPAPER