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fitting - Fourier Transform to help guess with NonLinearModelFit


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, 
  1.91416}, {1.04699, 1.08547}, {1.57716, 0.978914}, {1.37886, 
  0.670282}, {1.61043, 
  0.734624}, {1.58938, -0.0783559}, {1.15152, -0.731489}, {0.99385, \
-0.348013}, {2.32758, -0.829126}, {1.32128, -0.756824}, {1.78092, \

-1.19643}, {1.56061, -1.35187}, {1.79447, -1.43311}, {2.53148, \
-1.19062}, {1.68578, -0.95508}, {2.22307, -1.53828}, {2.0539, \
-1.20883}, {2.49747, -1.87838}, {2.58535, -1.33704}, {2.01095, \
-1.50991}, {2.29196, -1.87351}, {2.59162, -1.04007}, {2.67627, \
-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, 

  1.18847}, {3.77365, 0.723413}, {2.9929, 1.41775}, {3.96285, 
  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, 
  0.843062}, {5.32769, -0.0367531}, {5.25601, -0.233841}, {5.35209, 
  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, 
  0.0540723}, {5.98049, 0.385066}, {5.88725, 
  0.347108}, {5.74741, -0.449404}, {6.18538, 
  0.119061}, {6.19502, -0.162133}, {6.41258, -0.332392}, {6.33224, 
  0.098131}, {6.46565, -0.380567}, {6.67733, -0.812768}, {6.61725, \
-0.81194}, {5.82928, -0.765799}, {6.3932, -0.710182}, {6.13977, \
-0.810558}, {6.20525, -1.86373}, {6.24772, -0.672002}, {6.65897, \
-0.881107}, {6.45743, -1.00039}, {6.66579, -1.16609}, {6.93156, \

-0.349315}, {6.75027, -0.60295}, {6.73847, -0.987719}, {7.27493, \
-0.154233}, {6.9856, -0.277668}, {6.93401, 0.341431}, {7.23205, 
  0.657917}, {7.31986, 0.713966}, {7.38186, 1.00859}, {7.55577, 
  0.905797}, {7.69449, 1.07072}, {7.07342, 0.923475}, {7.55928, 
  1.4013}, {7.86274, 1.63709}, {8.05143, 1.85425}, {7.84046, 
  2.08721}, {8.16941, 1.7188}, {7.71405, 1.67075}, {8.06282, 
  2.72949}, {7.59044, 2.25971}, {7.82557, 2.58164}, {7.97188, 
  2.05505}, {7.97032, 2.31209}, {7.67221, 2.05983}, {8.41049, 
  1.96376}, {8.20171, 1.96529}, {8.4695, 1.10212}, {8.55157, 
  1.53035}, {9.11358, 1.23181}, {8.67359, 

  0.40237}, {8.57122, -0.211248}, {8.87154, -0.0230956}, {8.96914, \
-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, 
  1.10288}, {11.1153, 1.18289}, {11.769, 0.542454}, {11.4704, 
  0.708442}, {11.4349, 1.05461}, {11.7382, 0.398513}, {11.0161, 
  0.215053}, {11.4169, -0.153773}, {11.0926, 
  0.252947}, {11.8178, -0.312971}, {11.2996, -0.320814}, {11.8535, \
-1.18744}, {11.504, 

  0.104621}, {11.9314, -1.28179}, {12.149, -0.640361}, {11.7889, \
-0.98922}, {12.2323, -0.424164}, {12.3322, -0.63422}, {12.4638, \
-0.615115}, {11.2903, -0.851769}, {11.9001, -1.28174}, {12.3405, \
-0.942403}, {12.0453, -0.380617}, {12.7846, -1.10662}, {12.3655, \
-0.336232}, {12.5602, -0.871577}, {12.2629, -0.569801}, {13.1561, \
-0.160132}, {12.8923, 0.12894}, {13.3888, 0.352126}, {13.1609, 
  0.288666}, {13.0405, 0.445245}, {13.1501, 0.237405}, {12.4543, 
  0.153608}, {12.9637, 0.446174}, {13.5627, 0.600116}, {13.5393, 
  0.452977}, {13.7631, 0.0165395}, {13.3105, 0.764879}, {13.0265, 
  0.848369}, {13.0003, 0.215074}, {12.9275, 0.433183}, {13.416, 

  0.420133}, {14.4767, 0.141986}, {14.0554, 0.0950555}, {14.0878, 
  0.967855}, {14.2177, -0.0206047}, {14.0884, 0.177076}, {14.2077, 
  0.38328}, {13.8715, 0.369896}, {13.6763, 
  0.640263}, {13.7049, -0.338782}, {14.36, 0.204381}, {14.1027, 
  0.105494}, {14.0862, -0.174187}, {14.1833, 0.403098}, {14.3719, 
  0.058492}, {14.3079, 0.178501}, {14.3452, 0.603739}, {14.7612, 
  0.0737788}, {15.0454, 1.20668}, {14.6153, 0.566124}, {15.07, 
  1.11673}, {15.1651, 0.330462}, {14.7917, 0.386365}, {14.4027, 
  0.970053}, {15.4735, 1.34522}, {15.0933, 1.40533}, {14.8998, 
  1.92972}, {14.9064, 1.21432}, {14.9657, 1.60656}, {15.5177, 

  1.7208}, {15.6814, 1.65606}, {15.6126, 1.36729}, {16.0271, 
  1.27835}, {15.3855, 0.994342}, {15.3689, 1.07696}, {15.4025, 
  0.770641}, {16.1808, 0.588181}, {15.7075, 0.857503}, {15.9243, 
  0.573647}, {16.0403, 
  0.118569}, {15.9525, -0.717673}, {16.0019, -0.551354}, {16.3071, 
  0.116131}, {16.0534, -0.633346}, {16.3187, -0.703357}, {16.5247, \
-0.84655}, {15.8993, -0.544992}, {16.3177, -1.52559}, {16.5718, \
-1.4958}, {16.83, -1.56958}, {17.2945, -1.79144}, {16.595, -1.79918}, \
{17.2579, -2.66737}, {17.0576, -1.89032}, {17.4953, -1.33387}, \
{16.9285, -1.30165}, {16.7132, -1.36638}, {17.0759, -1.22273}, \

{16.8522, -0.932177}, {16.9162, -0.904871}, {17.2847, -0.728184}, \
{17.6323, -0.457726}, {16.8706, 0.493485}, {17.7072, 
  0.834704}, {17.3644, -0.172504}, {17.8227, 0.239913}, {17.6079, 
  0.676131}, {17.9362, 1.4603}, {17.7336, 2.13347}, {17.9287, 
  1.69107}, {17.0874, 2.3189}, {17.751, 2.22933}, {17.7757, 
  1.90009}, {17.37, 2.94452}, {18.3753, 2.6209}, {18.4807, 
  1.95453}, {18.3759, 1.73523}, {18.1076, 2.51405}, {18.1103, 
  2.71764}, {18.1963, 3.15662}, {18.3686, 2.21991}, {18.3298, 
  1.37076}, {18.2522, 2.05346}, {18.1177, 2.38566}, {18.8152, 
  1.43102}, {18.6016, 1.53189}, {18.8635, 

  1.3898}, {18.8634, -0.038433}, {18.7331, 
  0.431433}, {18.8891, -0.511772}, {18.7633, -0.869485}, {18.7467, \
-1.04817}, {18.7679, -1.15884}, {19.1501, 
  0.00665202}, {19.562, -1.42274}, {19.305, -1.4593}, {19.5042, \
-1.62149}, {19.6718, -2.18218}, {19.7465, -1.39044}, {19.4772, \
-2.25948}, {18.9855, -1.57927}, {19.7925, -1.11085}, {19.6894, \
-1.34807}, {19.4497, -1.18651}, {19.7962, -1.70302}, {19.6606, \
-0.849571}, {19.9106, -1.23803}, {19.997, -1.53098}, {19.1314, \
-1.00194}, {20.5465, -0.432927}, {19.7919, -0.536015}, {20.1419, \
-0.255262}, {20.7293, 0.389489}, {19.8333, 0.426571}, {20.4569, 

  0.43273}, {20.2052, 0.599052}, {20.2941, 0.984699}, {20.555, 
  1.15831}, {20.6175, 0.780267}, {21.0713, 1.1623}, {20.5974, 
  2.08726}, {20.9737, 1.60641}, {20.8813, 1.79997}, {21.1295, 
  1.83323}, {20.4977, 1.1313}, {21.1927, 1.87942}, {21.0748, 
  1.29658}, {21.5025, 1.74935}, {21.659, 1.88678}, {21.3913, 
  1.29054}, {21.4118, 1.11935}, {21.0063, 0.844062}, {22.0389, 
  0.645558}, {21.5241, 1.15722}, {22.0532, 1.02463}, {21.732, 
  1.40229}, {21.8578, 0.646097}, {21.9427, -0.380885}, {22.21, 
  0.543236}, {21.9268, 0.00279749}, {21.6922, -0.331825}, {21.7628, 
  0.365264}, {22.0055, 0.00881415}, {22.09, 

  0.0444232}, {22.7028, -0.188965}, {22.0422, -0.317193}, {22.254, \
-0.132849}, {22.0351, -0.488951}, {22.5506, -0.368061}, {22.2605, 
  0.0353715}, {22.9485, 0.0632572}, {22.6993, 0.594619}, {22.3263, 
  0.183907}, {22.3584, 0.531802}, {22.9162, 0.419526}, {22.8722, 
  0.352037}, {22.2147, 0.455423}, {22.6277, 0.857066}, {22.7334, 
  0.603724}, {22.4725, 0.221121}, {23.0407, 0.715812}, {22.8647, 
  0.56642}, {23.5909, 0.279728}, {22.7275, 0.341009}, {23.6831, 
  0.281944}, {23.52, 0.584931}, {23.7145, 0.187598}, {23.9755, 
  0.148709}, {23.9498, -0.517361}, {23.8175, -0.202544}, {23.4968, 
  0.00215051}, {24.1129, -0.440127}, {23.8927, -0.568414}, {23.949, \

-0.652151}, {23.843, -0.474553}, {24.0124, -0.0738271}, {23.9999, \
-0.835919}, {24.1444, -0.87771}, {24.2111, 
  0.386522}, {24.2819, -0.962728}, {24.3082, -1.48557}, {23.9496, \
-0.893721}, {24.6539, 
  0.0288777}, {25.0443, -0.519709}, {24.3552, -0.164626}, {24.6644, 
  0.688696}, {24.6359, -0.189839}, {24.6877, 0.200085}, {24.5175, 
  0.0464359}, {24.6399, 0.534559}, {24.8586, 0.968424}, {24.8228, 
  0.577755}, {25.1139, 1.27134}, {25.4055, 1.50194}, {25.0748, 
  1.32378}, {24.7524, 2.53979}, {25.1419, 2.06432}, {25.984, 
  2.30706}, {25.4521, 2.42612}, {25.588, 2.65184}, {25.6702, 

  1.30271}, {25.6293, 2.02464}, {25.806, 1.35835}, {25.7163, 
  2.49362}, {25.5422, 2.30273}, {25.3588, 2.08415}, {25.9634, 
  1.23174}, {25.8309, 1.2558}, {25.2417, 0.877313}, {26.4366, 
  0.880501}, {25.524, 0.0670857}, {26.0663, 0.348963}, {26.3491, 
  0.176462}, {26.2812, -0.052508}, {26.498, 
  0.0692194}, {26.018, -0.573689}, {25.9109, -0.72646}, {26.5291, \
-0.658361}, {26.4644, -1.01012}, {26.3802, -1.0911}, {26.6247, \
-1.98007}, {26.8425, -1.98544}, {26.569, -1.31316}, {26.9653, \
-1.89887}, {26.9101, -2.30085}, {26.7882, -2.44873}, {27.1402, \
-1.64809}, {27.2906, -1.13718}, {27.0004, -1.54148}, {27.1244, \

-1.50756}, {27.6901, -1.44902}, {27.2557, -1.66404}, {27.6999, \
-0.822905}, {27.4095, -0.604445}, {27.635, -0.583706}, {27.1973, \
-0.194272}, {28.1471, 0.806316}, {27.2559, 0.776763}, {27.4588, 
  0.633466}, {27.5602, 0.580108}, {27.8279, 1.26428}, {27.3865, 
  1.72679}, {28.1308, 1.58991}, {28.0229, 1.89539}, {27.7915, 
  1.82904}, {28.5813, 1.88801}, {28.0183, 2.42584}, {28.0626, 
  2.45304}, {28.6464, 2.48027}, {28.619, 2.27061}, {28.668, 
  2.48265}, {28.419, 1.76506}, {28.5921, 2.03448}, {28.8383, 
  1.85392}, {29.1858, 1.98876}, {28.4366, 1.74753}, {28.6991, 
  1.42565}, {29.2494, 1.61516}, {28.9407, 0.626596}, {28.6204, 

  1.02512}, {28.8652, 0.261672}, {29.2054, 1.06004}, {29.242, 
  0.335609}, {28.7962, -0.205257}, {28.9726, 
  0.0328908}, {29.711, -0.636743}, {29.6339, -0.886832}, {28.6801, \
-0.550744}, {29.3622, -0.147409}, {29.3855, -0.923175}, {29.8079, \
-1.57947}, {29.5734, -1.50112}, {29.8371, -1.32898}, {29.2352, \
-1.23009}, {29.8375, -1.11249}, {30.1836, -1.40015}, {30.2696, \
-0.965731}, {30.0036, -0.769046}, {30.1643, -0.86547}, {29.9663, \
-1.10144}, {30.2157, -0.646887}, {30.4718, -0.749548}, {29.9071, 
  0.0479569}, {30.7434, -0.780383}, {29.9202, 0.031815}, {30.6368, 
  0.560066}, {30.0345, -0.478445}, {30.674, 0.085706}, {30.8219, 

  0.0425936}, {31.0691, 0.873446}, {30.799, 0.533679}, {31.4399, 
  0.976093}, {31.1288, 0.887502}, {31.0745, 1.25471}, {30.7318, 
  0.435779}, {31.2397, 0.626573}, {30.7587, 0.555628}, {31.2223, 
  0.314188}, {31.3343, 0.470874}, {31.2738, 0.224425}, {31.6043, 
  0.945618}, {31.2746, 0.933819}, {31.7258, 0.191166}, {31.6803, 
  0.945932}, {31.8472, 0.718703}, {31.4919, 0.198104}, {31.374, 
  0.0570873}, {31.679, 0.425878}, {31.7958, 
  0.255821}, {31.7202, -0.133875}, {31.9048, 
  0.166323}, {32.3564, -0.381504}, {31.9391, 0.294844}, {32.3781, 
  0.07096}, {32.5547, -0.0629246}, {32.5829, 0.310593}, {32.364, 

  0.424169}, {31.8653, 0.674023}, {32.3417, 0.939597}, {32.5952, 
  0.910231}, {32.3203, 0.0350652}, {33.1148, 1.28598}, {32.3861, 
  1.05036}, {32.6759, 1.04992}, {32.6562, 1.36831}, {32.8406, 
  0.878374}, {32.8919, 1.05826}, {33.2898, 0.888194}, {33.5007, 
  1.18185}, {33.3491, 1.43886}, {33.3031, 1.15295}, {33.5922, 
  1.27276}, {33.6061, 0.608601}, {33.0871, 1.00682}, {33.4731, 
  0.520619}, {33.7312, 
  0.437054}, {33.7397, -0.286281}, {33.6321, -0.444827}, {34.3418, \
-0.0509425}, {34.13, -0.531038}, {33.5703, -0.79537}, {33.5757, \
-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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