Filter periodical sharp spikes in experimental data
up vote
2
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
2
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.`,
2.4094`}, {25.`, 2.41592`}, {30.`, 2.40706`}, {35.`,
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filtering
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
4 hours ago
add a comment |
up vote
2
down vote
favorite
up vote
2
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 5 hours ago
Филипп Цветков
1,384721
1,384721
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
4 hours ago
add a comment |
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
4 hours ago
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
4 hours ago
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
4 hours ago
add a comment |
2 Answers
2
active
oldest
votes
up vote
2
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
4 hours ago
add a comment |
up vote
1
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 |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
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
4 hours ago
add a comment |
up vote
2
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
4 hours ago
add a comment |
up vote
2
down vote
up vote
2
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 4 hours ago
John Doty
6,5541924
6,5541924
+1 Beat me by 30 seconds!
– JimB
4 hours ago
add a comment |
+1 Beat me by 30 seconds!
– JimB
4 hours ago
+1 Beat me by 30 seconds!
– JimB
4 hours ago
+1 Beat me by 30 seconds!
– JimB
4 hours ago
add a comment |
up vote
1
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
1
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
1
down vote
up vote
1
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 4 hours ago
JimB
16.6k12662
16.6k12662
add a comment |
add a comment |
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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
4 hours ago