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smoothing

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smoothing [Mon Jun 3 15:41:05 2013] Alexander |
smoothing [Wed Sep 2 23:45:32 2015] Alexander |
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{{:smoothing.png?nolink|Smoothing dialog}} | {{:smoothing.png?nolink|Smoothing dialog}} | ||

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+ | ===== Parameters ===== | ||

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+ | ''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]]. | ||

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- | ''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 ==== | ||

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Each value //A<sub>k</sub>// is replaced with //p//-points average: | Each value //A<sub>k</sub>// is replaced with //p//-points average: | ||

- | <m>A_k = sum{i=k−{p{/}2}}{k+p{/}2}{a_i}</m>. | + | <m>A_k = 1/p sum{i=k−{p{/}2}}{k+p{/}2}{a_i}</m>. |

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. |

smoothing.txt · Last modified: Sun Nov 8 12:21:24 2015 (external edit)

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