jar_project/sin_response_fit.py
2020-08-11 14:37:29 +02:00

104 lines
2.5 KiB
Python

from scipy import signal
import matplotlib.pyplot as plt
import numpy as np
import pylab
from IPython import embed
from scipy.optimize import curve_fit
from jar_functions import sin_response
def take_second(elem):
return elem[1]
predict = []
gain = []
mgain = []
phaseshift = []
mphaseshift = []
amfreq = []
amf = [0.001, 0.002, 0.005, 0.01, 0.02, 0.05, 0.1, 0.2, 0.5, 1]
currf = None
idxlist = []
data = sorted(np.load('files.npy'), key = take_second)
for i, d in enumerate(data):
dd = list(d)
jar = np.load('%s.npy' %dd)
jm = jar - np.mean(jar)
print(dd)
time = np.load('time: %s.npy' %dd)
b, a = signal.butter(4, (float(d[1]) / 2) / 10000, 'high', analog=True)
y = signal.filtfilt(b, a, jm)
#plt.plot(time, y)
#plt.plot(time, jar)
sinv, sinc = curve_fit(sin_response, time, y, [float(d[1]), 2, 0.5])
print('frequency, phaseshift, amplitude:', sinv)
phaseshift.append(np.sqrt(sinv[1]**2))
gain.append(np.sqrt(sinv[2]**2))
amfreq.append(d[1])
Rs = []
for ix, t in enumerate(time):
R = (jm[ix] - sin_response(t, float(d[1]), np.sqrt(sinv[1]**2), np.sqrt(sinv[2]**2)))**2
Rs.append(R)
sigma = sum(Rs)
rms = np.sqrt((1/len(time)) * sigma)
#plt.plot(time, sin_response(time, *sinv), label='fit: f=%f, p=%.2f, A=%.2f' % tuple(sinv))
#mean over same amfreqs for phase and gain
if currf is None or currf == d[1]:
currf = d[1]
idxlist.append(i)
else: # currf != f
meanf = [] # lists to make mean of
meanp = []
for x in idxlist:
meanf.append(gain[x])
meanp.append(phaseshift[x])
meanedf = np.mean(meanf)
meanedp = np.mean(meanp)
mgain.append(meanedf)
mphaseshift.append(meanedp)
currf = d[1] # set back for next loop
idxlist = [i]
meanf = []
meanp = []
for y in idxlist:
meanf.append(gain[y])
meanp.append(phaseshift[y])
meanedf = np.mean(meanf)
meanedp = np.mean(meanp)
mgain.append(meanedf)
mphaseshift.append(meanedp)
for f in amf:
G = np.max(mgain) / np.sqrt(1 + (2*((np.pi*f*3.14)**2)))
predict.append(G)
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.plot(amf, mgain, 'o')
ax.plot(amf, predict)
ax.set_yscale('log')
ax.set_xscale('log')
ax.set_title('2018lepto98')
ax.set_ylabel('gain [Hz/(mV/cm)]')
ax.set_xlabel('AM-frequency [Hz]')
#plt.savefig('2018lepto98_gain')
pylab.show()
embed()
#phase in degree
# Q10 / conductivity
# AM-frequency / envelope-frequency scale title?