I imported some data in Mathematica which I cleaned a bit. This process went well. I also managed to plot it, and tried to take the Fourier transform of the data and plot it again. I'm not sure if I did this correctly (see code). Now I would like to fit the data with help of NonlinearModelFit and use the initial guesses of the Fourier transform. Can someone help me with this? Sorry for the long data...
This is the data after I imported and cleaned it:
raw = {{-3.84945,
0.41909}, {-3.43009, -0.0701917}, {-3.73715, -0.0764585}, {-4.35638,
0.302424}, {-3.67285, -0.147868}, {-3.39557, -0.256599}, \
{-3.78187, -0.369644}, {-3.47578, -0.251411}, {-3.5905, -0.361445}, \
{-3.32659, 0.140039}, {-3.33448, -0.0781868}, {-3.2252,
0.180387}, {-3.42825, 0.0858649}, {-2.87733,
0.120913}, {-2.97688, -0.15721}, {-3.40708, 0.788854}, {-3.06072,
0.939109}, {-2.60687, 0.734961}, {-2.30167, 0.66035}, {-2.70302,
0.926581}, {-2.6086, 0.938341}, {-3.19459, 1.08926}, {-2.56533,
1.34221}, {-3.00272, 1.50904}, {-2.81819, 1.30194}, {-2.36322,
1.79618}, {-2.64252, 1.17821}, {-2.35468, 1.26401}, {-2.36687,
2.09873}, {-2.20697, 1.43182}, {-2.35019, 1.67195}, {-2.11614,
1.02184}, {-1.72058, 1.27401}, {-1.96324, 2.19287}, {-1.80049,
1.60412}, {-1.39003, 1.32896}, {-1.73336, 1.75028}, {-1.787,
1.04856}, {-1.77951, 1.00185}, {-1.37982, 0.647201}, {-1.42423,
0.916547}, {-1.69202,
0.268595}, {-1.26665, -0.184731}, {-1.62388, -0.929862}, {-1.70419, \
-0.250538}, {-1.38926, -1.41213}, {-1.40997, -0.830337}, {-1.35806, \
-1.22583}, {-0.800889, -1.15913}, {-1.44766, -1.29397}, {-1.39447, \
-1.65196}, {-0.981133, -1.87578}, {-1.17633, -2.31197}, {-0.889797, \
-1.66592}, {-0.901875, -1.44375}, {-0.76148, -1.4741}, {-0.951907, \
-1.68008}, {-0.845173, -1.5895}, {-0.782567, -0.947551}, {-0.265738, \
-0.753805}, {0.203795, -0.232802}, {-0.203745, -0.707963}, \
{-0.489359, -0.227754}, {-0.686342,
0.130555}, {-0.210241, -0.0794845}, {0.0358392,
0.0663956}, {0.0993884, 0.542909}, {0.0527959,
0.664387}, {-0.391205, 1.38693}, {0.198899, 1.96552}, {-0.3053,
1.42773}, {0.307131, 2.10399}, {0.494083, 1.91009}, {0.118677,
2.19167}, {0.483712, 2.54929}, {0.727716, 2.41371}, {0.434194,
2.67301}, {0.698968, 2.89684}, {0.752124, 1.99418}, {0.863017,
1.83665}, {0.693201, 2.4055}, {1.2444, 2.20828}, {0.48213,
1.9665}, {1.17306, 1.76448}, {0.910287, 1.71914}, {1.31443,
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0.734624}, {1.58938, -0.0783559}, {1.15152, -0.731489}, {0.99385, \
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-0.987542}, {2.16628, -0.955456}, {2.82849, -0.325863}, {2.55187,
0.0104294}, {2.4016, -0.00569572}, {2.72076, -0.357926}, {2.66823,
0.0574908}, {3.0795, 1.0393}, {3.05506, 0.707203}, {2.44507,
0.678553}, {2.77322, 0.639886}, {3.2439, 0.318019}, {3.33037,
0.992247}, {3.61846, 1.46687}, {2.91627, 1.13617}, {3.32023,
1.30646}, {3.79645, 1.79151}, {3.29877, 0.384929}, {3.49623,
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1.16511}, {4.12542, 1.42441}, {3.51613, 0.912884}, {3.68492,
0.614977}, {4.19006, 0.877668}, {3.95165, 0.0847349}, {4.16917,
0.831189}, {4.07692, 0.476545}, {4.0942, -0.252477}, {4.66,
0.25104}, {4.42228, 0.0328571}, {4.08766, 0.0525696}, {4.23193,
0.765989}, {4.51484, -0.0114567}, {4.16436, 0.801093}, {4.6914,
0.486112}, {4.58733, 0.259372}, {4.80848, 0.192874}, {4.4567,
0.397505}, {4.89128, 0.0168966}, {5.05161,
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0.563215}, {5.41444, 1.26534}, {4.87629, 0.926255}, {4.77206,
0.506746}, {5.19298, 0.401957}, {5.5446, 0.321771}, {5.06212,
0.770791}, {5.25317, 0.319211}, {5.53843, -0.065951}, {5.71233,
1.42287}, {5.88261, 0.311685}, {6.0609, 0.601066}, {5.25909,
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0.905797}, {7.69449, 1.07072}, {7.07342, 0.923475}, {7.55928,
1.4013}, {7.86274, 1.63709}, {8.05143, 1.85425}, {7.84046,
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-0.555904}, {8.44334, -0.305055}, {8.80015, -0.394893}, {9.23605, \
-0.0958523}, {9.08507, -1.11365}, {9.18054, -1.15248}, {9.14974, \
-1.46007}, {9.3732, -0.704947}, {8.70995, -1.11768}, {9.26443, \
-1.55281}, {9.51184, -1.42069}, {9.86547, -2.0223}, {9.28803, \
-1.88908}, {9.53138, -1.62807}, {9.52, -1.91898}, {9.88404, \
-1.37459}, {9.68215, -1.36107}, {9.76359, -1.41102}, {9.6818, \
-1.28005}, {9.85947, -1.11897}, {10.3673, -1.2498}, {10.196, \
-0.963601}, {9.64796, 0.36641}, {10.0035, 0.43566}, {10.6284,
0.582454}, {9.98143, 0.751192}, {9.91869, 0.544871}, {10.0103,
1.75997}, {10.8443, 1.45478}, {10.2117, 1.59547}, {10.2591,
2.17922}, {10.7609, 1.93402}, {10.3892, 2.19155}, {10.4554,
2.32495}, {10.8657, 2.55519}, {10.4471, 2.16553}, {11.3071,
2.67997}, {10.9587, 2.20251}, {10.9507, 2.66354}, {11.5903,
1.71928}, {11.0943, 1.64894}, {10.7085, 2.36607}, {10.926,
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{17.2579, -2.66737}, {17.0576, -1.89032}, {17.4953, -1.33387}, \
{16.9285, -1.30165}, {16.7132, -1.36638}, {17.0759, -1.22273}, \
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-0.716751}, {33.978,
0.146486}, {33.8335, -0.485087}, {34.1577, -1.088}, {34.7128, \
-0.791766}, {33.9744, -1.46449}, {34.2497, -1.2427}, {34.6004, \
-1.16748}, {34.3232, -1.62984}, {34.3331, -1.65776}, {34.1108, \
-1.41943}, {34.6287, -1.14177}, {34.0175, -1.25963}, {34.501, \
-1.1609}, {34.1351, -0.965139}, {34.2951, -1.06006}, {35.4621, \
-0.733495}, {35.2401, -0.16984}, {34.5547,
0.524605}, {34.6849, -0.223118}, {34.644, 0.452821}, {35.0712,
0.951466}, {35.6274, 0.715463}, {35.343, 0.58703}, {35.0355,
1.41219}, {35.2829, 2.04928}, {34.6803, 2.0764}, {35.6433,
1.43312}, {34.967, 3.1381}, {35.7756, 2.32153}, {36.1304,
1.68146}, {35.8756, 2.0023}, {35.7894, 2.5185}, {35.5619,
2.52503}, {35.981, 2.30594}, {36.1471, 1.70983}, {36.0046,
3.01538}, {35.6653, 1.54435}, {36.1309, 1.85956}, {36.1551,
1.73553}, {36.1421, 1.39904}, {36.7871, 1.55462}, {36.6833,
1.23175}, {35.9592, 0.877241}, {36.9764,
0.711913}, {36.5436, -0.0172662}, {36.6802,
0.52497}, {36.5682, -0.539816}, {36.6328, -1.39402}, {36.8861, \
-0.815778}, {36.8163, -1.37152}, {36.2794, -1.40483}, {37.1657, \
-1.52705}, {37.1711, -1.94097}, {37.0081, -2.36248}, {36.8495, \
-1.44548}, {37.0087, -2.02753}, {36.8872, -1.47031}, {37.0955, \
-1.83628}, {36.722, -1.91471}, {37.5261, -1.62925}, {37.2238, \
-1.0598}, {37.8914, -2.10623}, {37.8759, -0.837536}, {37.5999, \
-0.672926}, {37.8223, -0.301448}, {37.5606, -0.52661}, {37.4943, \
-0.018456}, {37.8968, 0.118564}, {38.2857, 0.135554}, {38.6949,
0.95564}, {37.7182, 0.52255}, {38.054, 1.5001}, {38.154,
1.10949}, {37.8945, 0.864205}, {38.4649, 1.83546}, {38.2179,
1.99229}, {38.3884, 1.44735}, {38.1528, 1.69533}, {38.6398,
1.46291}, {38.8975, 1.85623}, {38.9552, 2.0899}, {38.935,
1.79664}, {38.7826, 2.10252}, {38.6051, 1.27689}, {38.6416,
0.967159}, {38.5503, 2.06388}, {38.7716, 0.753808}, {39.1189,
0.993019}, {39.2947, 1.34225}, {39.0673, 0.657109}, {38.6314,
0.8712}, {39.1433, 0.748528}, {39.6508,
0.81095}, {39.016, -0.052668}, {38.9931, -0.0363756}, {39.3453,
0.175443}, {39.768,
0.0251906}, {39.2448, -0.708407}, {39.7637, -0.345208}, {39.9792, \
-0.1199}, {39.9314, -0.636056}, {39.8347, -0.329086}, {39.6093, \
-0.952763}, {39.6335, -0.749898}, {40.2087,
0.0265311}, {39.9769, -0.561427}, {40.5278, -0.755097}}
Here I plot the data
(* Plot data *)
x = raw[[All, 1]];
y = raw[[All, 2]];
data = Transpose[{x, y}];
ListLinePlot[data, Mesh -> All, AxesOrigin -> {0, 0},
AxesLabel -> {"t(ms)", "Signal(V)"}]
Here I take the Fourier transform. I'm not sure if this part is correct. How can I extract parameters to help me with the Nonlinearmodelfit[] on the original data?
(* Fourier transform *)
fourier = Abs[Fourier[data]];
ListLinePlot[fourier, Mesh -> All, AxesOrigin -> {0, 0},
AxesLabel -> {"F[t(ms)]", "F[Signal(V)]"}]
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