MagicPlot Manual

Plotting and nonlinear fitting software

smoothing

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 smoothing [Mon Jun 3 15:41:05 2013]Alexander smoothing [Wed Sep 2 23:45:32 2015]Alexander Both sides previous revision Previous revision Wed Sep 2 23:45:32 2015 Alexander Tue Jun 4 00:39:43 2013 Alexander Mon Jun 3 15:41:05 2013 Alexander Mon Jun 3 11:59:28 2013 Alexander Mon Jun 3 11:48:16 2013 Alexander Thu May 30 09:39:45 2013 Alexander Thu May 30 09:38:27 2013 Alexander Thu May 30 00:27:47 2013 Alexander Wed May 29 20:46:03 2013 Alexander created Next revision Previous revision Wed Sep 2 23:45:32 2015 Alexander Tue Jun 4 00:39:43 2013 Alexander Mon Jun 3 15:41:05 2013 Alexander Mon Jun 3 11:59:28 2013 Alexander Mon Jun 3 11:48:16 2013 Alexander Thu May 30 09:39:45 2013 Alexander Thu May 30 09:38:27 2013 Alexander Thu May 30 00:27:47 2013 Alexander Wed May 29 20:46:03 2013 Alexander created Line 3: Line 3: {{:​smoothing.png?​nolink|Smoothing dialog}} {{:​smoothing.png?​nolink|Smoothing dialog}} + + ===== Parameters ===== + + ''​Periodic''​ checkbox applies on calculation of first and last //p/2// points. When it is set MagicPlot will take missing values from the opposite end (as if the signal is periodic) to calculate first and last //p/2// points. ===== Algorithms ===== ===== Algorithms ===== Two algorithms are available: Central Moving Average and [[wp>​Savitzky–Golay_smoothing_filter|Savitzky-Golay method]]. Two algorithms are available: Central Moving Average and [[wp>​Savitzky–Golay_smoothing_filter|Savitzky-Golay method]]. - - ''​Periodic''​ checkbox applies on calculation of first and last //p/2// points. When it is set MagicPlot will take missing values from the opposite end (as if the signal is periodic) to calculate first and last //p/2// points. ==== Central Moving Average ==== ==== Central Moving Average ==== Line 14: Line 16: Each value //​A<​sub>​k//​ is replaced with //​p//​-points average: Each value //​A<​sub>​k//​ is replaced with //​p//​-points average: - <​m>​A_k = sum{i=k−{p{/​}2}}{k+p{/​}2}{a_i}​. + <​m>​A_k = 1/p sum{i=k−{p{/​}2}}{k+p{/​}2}{a_i}​. If ''​Periodic''​ checkbox is not set the first and last //p/2// points are calculated with the same symmetrical formula but with less summands. If ''​Periodic''​ checkbox is not set the first and last //p/2// points are calculated with the same symmetrical formula but with less summands.