Filter periodical sharp spikes in experimental data
up vote
3
down vote
favorite
I have experimental data with periodic sharp artefact spikes, which mask the real signal that could be seen as several negative peaks in the first third part on the curve:
Is it possible somehow to filter these spikes? or at least significantly reduce them? Here is data set:
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filtering
add a comment |
up vote
3
down vote
favorite
I have experimental data with periodic sharp artefact spikes, which mask the real signal that could be seen as several negative peaks in the first third part on the curve:
Is it possible somehow to filter these spikes? or at least significantly reduce them? Here is data set:
data = {{5.`, 2.41204`}, {10.`, 2.40477`}, {15.`, 2.40154`}, {20.`,
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filtering
1
You could tryLowpassFilter
. For example, withy = data[[1 ;; 400, 2]]
(to see better) andManipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see thatt=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).
– anderstood
Dec 12 at 22:18
add a comment |
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I have experimental data with periodic sharp artefact spikes, which mask the real signal that could be seen as several negative peaks in the first third part on the curve:
Is it possible somehow to filter these spikes? or at least significantly reduce them? Here is data set:
data = {{5.`, 2.41204`}, {10.`, 2.40477`}, {15.`, 2.40154`}, {20.`,
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2.40615`}, {5815.`, 2.40563`}, {5820.`, 2.41224`}, {5825.`,
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2.41265`}, {6235.`, 2.41384`}, {6240.`, 2.41199`}, {6245.`,
2.40847`}, {6250.`, 2.41203`}, {6255.`, 2.40707`}, {6260.`,
2.41111`}, {6265.`, 2.41438`}, {6270.`, 2.40149`}, {6275.`,
2.40943`}, {6280.`, 2.40566`}, {6285.`, 2.40602`}, {6290.`,
2.39158`}, {6295.`, 2.28929`}, {6300.`, 2.8602`}, {6305.`,
2.66258`}, {6310.`, 2.46982`}, {6315.`, 2.45534`}, {6320.`,
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2.41385`}, {6340.`, 2.41557`}, {6345.`, 2.40415`}, {6350.`,
2.40414`}, {6355.`, 2.40665`}, {6360.`, 2.40593`}, {6365.`,
2.40468`}, {6370.`, 2.4087`}, {6375.`, 2.40668`}, {6380.`,
2.40482`}, {6385.`, 2.4102`}, {6390.`, 2.41138`}, {6395.`,
2.40986`}, {6400.`, 2.41754`}, {6405.`, 2.41386`}, {6410.`,
2.40579`}, {6415.`, 2.41131`}, {6420.`, 2.41011`}, {6425.`,
2.41018`}, {6430.`, 2.40763`}, {6435.`, 2.412`}, {6440.`,
2.40158`}, {6445.`, 2.40563`}, {6450.`, 2.41275`}, {6455.`,
2.40791`}, {6460.`, 2.41374`}, {6465.`, 2.40603`}, {6470.`,
2.39006`}, {6475.`, 2.30875`}, {6480.`, 2.87174`}, {6485.`,
2.63457`}, {6490.`, 2.47627`}, {6495.`, 2.45683`}, {6500.`,
2.4416`}, {6505.`, 2.42899`}, {6510.`, 2.41854`}, {6515.`,
2.41043`}, {6520.`, 2.4094`}, {6525.`, 2.40516`}, {6530.`,
2.40346`}, {6535.`, 2.40558`}};
filtering
I have experimental data with periodic sharp artefact spikes, which mask the real signal that could be seen as several negative peaks in the first third part on the curve:
Is it possible somehow to filter these spikes? or at least significantly reduce them? Here is data set:
data = {{5.`, 2.41204`}, {10.`, 2.40477`}, {15.`, 2.40154`}, {20.`,
2.4094`}, {25.`, 2.41592`}, {30.`, 2.40706`}, {35.`,
2.41802`}, {40.`, 2.4171`}, {45.`, 2.40979`}, {50.`,
2.4127`}, {55.`, 2.40254`}, {60.`, 2.40753`}, {65.`,
2.41049`}, {70.`, 2.40521`}, {75.`, 2.40446`}, {80.`,
2.40692`}, {85.`, 2.40509`}, {90.`, 2.40604`}, {95.`,
2.40464`}, {100.`, 2.40448`}, {105.`, 2.41854`}, {110.`,
2.41627`}, {115.`, 2.40941`}, {120.`, 2.40443`}, {125.`,
2.39909`}, {130.`, 2.41194`}, {135.`, 2.40494`}, {140.`,
2.40801`}, {145.`, 2.41532`}, {150.`, 2.41512`}, {155.`,
2.41328`}, {160.`, 2.41383`}, {165.`, 2.40806`}, {170.`,
2.3958`}, {175.`, 2.41296`}, {180.`, 2.41556`}, {185.`,
2.40119`}, {190.`, 2.27056`}, {195.`, 2.51902`}, {200.`,
2.41532`}, {205.`, 2.36206`}, {210.`, 2.37837`}, {215.`,
2.38771`}, {220.`, 2.39959`}, {225.`, 2.40557`}, {230.`,
2.40373`}, {235.`, 2.4045`}, {240.`, 2.39692`}, {245.`,
2.38983`}, {250.`, 2.39646`}, {255.`, 2.40411`}, {260.`,
2.40749`}, {265.`, 2.41679`}, {270.`, 2.42152`}, {275.`,
2.40963`}, {280.`, 2.39891`}, {285.`, 2.39964`}, {290.`,
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2.41569`}, {310.`, 2.40495`}, {315.`, 2.40756`}, {320.`,
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2.38019`}, {370.`, 2.1133`}, {375.`, 2.74495`}, {380.`,
2.44314`}, {385.`, 2.23574`}, {390.`, 2.26553`}, {395.`,
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filtering
filtering
asked Dec 12 at 21:25
Филипп Цветков
1,389721
1,389721
1
You could tryLowpassFilter
. For example, withy = data[[1 ;; 400, 2]]
(to see better) andManipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see thatt=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).
– anderstood
Dec 12 at 22:18
add a comment |
1
You could tryLowpassFilter
. For example, withy = data[[1 ;; 400, 2]]
(to see better) andManipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see thatt=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).
– anderstood
Dec 12 at 22:18
1
1
You could try
LowpassFilter
. For example, with y = data[[1 ;; 400, 2]]
(to see better) and Manipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see that t=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).– anderstood
Dec 12 at 22:18
You could try
LowpassFilter
. For example, with y = data[[1 ;; 400, 2]]
(to see better) and Manipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see that t=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).– anderstood
Dec 12 at 22:18
add a comment |
3 Answers
3
active
oldest
votes
up vote
5
down vote
Is it possible somehow to filter these spikes?
In that question "filter" can be interpreted in several ways. Instead of signal filtering (used in the previous answers) you can identify and remove the outliers.
Import["https://raw.githubusercontent.com/antononcube/MathematicaForPrediction/master/OutlierIdentifiers.m"]
(* This finds the outliers positions. *)
otlPos = OutlierPosition[data[[All, 2]], SPLUSQuartileIdentifierParameters];
(* Plot the data in blue and the outliers in red. *)
Show[ListLinePlot[data, PlotRange -> All],
ListPlot[data[[otlPos]], PlotStyle -> {Red}]]
(* Plot the data with the outliers removed. *)
ListLinePlot[data[[Complement[Range[Length[data]], otlPos]]],
PlotRange -> All]
add a comment |
up vote
4
down vote
You might try a "moving median". Unfortunately the decision for an optimal window width is "I'll know it when I see it" kinda thing. In other words, it takes subject matter expertise and restraint.
Manipulate[
ListPlot[Table[{data[[n, 1]], Median[data[[n - ww ;; n + ww, 2]]]},
{n, ww + 1, Length[data] - ww}], Joined -> True, PlotRange -> All],
{{ww, 2, "Window width"}, 2, 200, 2, Appearance -> "Labeled"}]
add a comment |
up vote
3
down vote
How about a running median filter?
With[{
time = Median /@ Partition[data[[All, 1]], 5, 1],
ampl = Median /@ Partition[data[[All, 2]], 5, 1]},
ListPlot[Transpose[{time, ampl}], Joined -> True, PlotRange -> All]]
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
add a comment |
Your Answer
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
5
down vote
Is it possible somehow to filter these spikes?
In that question "filter" can be interpreted in several ways. Instead of signal filtering (used in the previous answers) you can identify and remove the outliers.
Import["https://raw.githubusercontent.com/antononcube/MathematicaForPrediction/master/OutlierIdentifiers.m"]
(* This finds the outliers positions. *)
otlPos = OutlierPosition[data[[All, 2]], SPLUSQuartileIdentifierParameters];
(* Plot the data in blue and the outliers in red. *)
Show[ListLinePlot[data, PlotRange -> All],
ListPlot[data[[otlPos]], PlotStyle -> {Red}]]
(* Plot the data with the outliers removed. *)
ListLinePlot[data[[Complement[Range[Length[data]], otlPos]]],
PlotRange -> All]
add a comment |
up vote
5
down vote
Is it possible somehow to filter these spikes?
In that question "filter" can be interpreted in several ways. Instead of signal filtering (used in the previous answers) you can identify and remove the outliers.
Import["https://raw.githubusercontent.com/antononcube/MathematicaForPrediction/master/OutlierIdentifiers.m"]
(* This finds the outliers positions. *)
otlPos = OutlierPosition[data[[All, 2]], SPLUSQuartileIdentifierParameters];
(* Plot the data in blue and the outliers in red. *)
Show[ListLinePlot[data, PlotRange -> All],
ListPlot[data[[otlPos]], PlotStyle -> {Red}]]
(* Plot the data with the outliers removed. *)
ListLinePlot[data[[Complement[Range[Length[data]], otlPos]]],
PlotRange -> All]
add a comment |
up vote
5
down vote
up vote
5
down vote
Is it possible somehow to filter these spikes?
In that question "filter" can be interpreted in several ways. Instead of signal filtering (used in the previous answers) you can identify and remove the outliers.
Import["https://raw.githubusercontent.com/antononcube/MathematicaForPrediction/master/OutlierIdentifiers.m"]
(* This finds the outliers positions. *)
otlPos = OutlierPosition[data[[All, 2]], SPLUSQuartileIdentifierParameters];
(* Plot the data in blue and the outliers in red. *)
Show[ListLinePlot[data, PlotRange -> All],
ListPlot[data[[otlPos]], PlotStyle -> {Red}]]
(* Plot the data with the outliers removed. *)
ListLinePlot[data[[Complement[Range[Length[data]], otlPos]]],
PlotRange -> All]
Is it possible somehow to filter these spikes?
In that question "filter" can be interpreted in several ways. Instead of signal filtering (used in the previous answers) you can identify and remove the outliers.
Import["https://raw.githubusercontent.com/antononcube/MathematicaForPrediction/master/OutlierIdentifiers.m"]
(* This finds the outliers positions. *)
otlPos = OutlierPosition[data[[All, 2]], SPLUSQuartileIdentifierParameters];
(* Plot the data in blue and the outliers in red. *)
Show[ListLinePlot[data, PlotRange -> All],
ListPlot[data[[otlPos]], PlotStyle -> {Red}]]
(* Plot the data with the outliers removed. *)
ListLinePlot[data[[Complement[Range[Length[data]], otlPos]]],
PlotRange -> All]
edited Dec 13 at 20:52
answered Dec 13 at 14:11
Anton Antonov
22.4k164111
22.4k164111
add a comment |
add a comment |
up vote
4
down vote
You might try a "moving median". Unfortunately the decision for an optimal window width is "I'll know it when I see it" kinda thing. In other words, it takes subject matter expertise and restraint.
Manipulate[
ListPlot[Table[{data[[n, 1]], Median[data[[n - ww ;; n + ww, 2]]]},
{n, ww + 1, Length[data] - ww}], Joined -> True, PlotRange -> All],
{{ww, 2, "Window width"}, 2, 200, 2, Appearance -> "Labeled"}]
add a comment |
up vote
4
down vote
You might try a "moving median". Unfortunately the decision for an optimal window width is "I'll know it when I see it" kinda thing. In other words, it takes subject matter expertise and restraint.
Manipulate[
ListPlot[Table[{data[[n, 1]], Median[data[[n - ww ;; n + ww, 2]]]},
{n, ww + 1, Length[data] - ww}], Joined -> True, PlotRange -> All],
{{ww, 2, "Window width"}, 2, 200, 2, Appearance -> "Labeled"}]
add a comment |
up vote
4
down vote
up vote
4
down vote
You might try a "moving median". Unfortunately the decision for an optimal window width is "I'll know it when I see it" kinda thing. In other words, it takes subject matter expertise and restraint.
Manipulate[
ListPlot[Table[{data[[n, 1]], Median[data[[n - ww ;; n + ww, 2]]]},
{n, ww + 1, Length[data] - ww}], Joined -> True, PlotRange -> All],
{{ww, 2, "Window width"}, 2, 200, 2, Appearance -> "Labeled"}]
You might try a "moving median". Unfortunately the decision for an optimal window width is "I'll know it when I see it" kinda thing. In other words, it takes subject matter expertise and restraint.
Manipulate[
ListPlot[Table[{data[[n, 1]], Median[data[[n - ww ;; n + ww, 2]]]},
{n, ww + 1, Length[data] - ww}], Joined -> True, PlotRange -> All],
{{ww, 2, "Window width"}, 2, 200, 2, Appearance -> "Labeled"}]
answered Dec 12 at 22:20
JimB
16.7k12662
16.7k12662
add a comment |
add a comment |
up vote
3
down vote
How about a running median filter?
With[{
time = Median /@ Partition[data[[All, 1]], 5, 1],
ampl = Median /@ Partition[data[[All, 2]], 5, 1]},
ListPlot[Transpose[{time, ampl}], Joined -> True, PlotRange -> All]]
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
add a comment |
up vote
3
down vote
How about a running median filter?
With[{
time = Median /@ Partition[data[[All, 1]], 5, 1],
ampl = Median /@ Partition[data[[All, 2]], 5, 1]},
ListPlot[Transpose[{time, ampl}], Joined -> True, PlotRange -> All]]
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
add a comment |
up vote
3
down vote
up vote
3
down vote
How about a running median filter?
With[{
time = Median /@ Partition[data[[All, 1]], 5, 1],
ampl = Median /@ Partition[data[[All, 2]], 5, 1]},
ListPlot[Transpose[{time, ampl}], Joined -> True, PlotRange -> All]]
How about a running median filter?
With[{
time = Median /@ Partition[data[[All, 1]], 5, 1],
ampl = Median /@ Partition[data[[All, 2]], 5, 1]},
ListPlot[Transpose[{time, ampl}], Joined -> True, PlotRange -> All]]
answered Dec 12 at 22:19
John Doty
6,5641924
6,5641924
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
add a comment |
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
+1 Beat me by 30 seconds!
– JimB
Dec 12 at 22:21
add a comment |
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1
You could try
LowpassFilter
. For example, withy = data[[1 ;; 400, 2]]
(to see better) andManipulate[LowpassFilter[y, t] // ListLinePlot, {t, 0, 3}]
, you can see thatt=0.375
is not a too bad choice (I got rid of the $x$ values so of course you should compensate for that).– anderstood
Dec 12 at 22:18