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- 0.4867856
- 0.4892552
- 0.4889808
- 0.4826696
- """
- ydata=[float(_) for _ in ydata.strip().splitlines()]
- from scipy.optimize import curve_fit as cf
- import numpy as np
- from matplotlib import pyplot as plt
- from scipy.optimize import basinhopping as bh
- xdata=np.arange(0.05,500.01,0.05)
- def damped_sin_fun(x,a,b,c,d,e):
- return a*(np.exp(-x/e))*np.sin(b*x+c)+d
- fft = np.fft.fft(ydata - np.array(ydata).mean())
- timestep = xdata[1] - xdata[0]
- freq = np.fft.fftfreq(len(fft), d=timestep)
- largest_component = np.abs(fft).argmax()
- phase_guess = np.angle(fft[largest_component]) * freq[largest_component]
- initial_frequency_guess = freq[largest_component] * 2 * np.pi
- p_opt,p_cov=cf(damped_sin_fun,xdata,ydata, p0=[0.05, initial_frequency_guess, np.pi/2 ,np.mean(ydata),2.3])
- print(initial_frequency_guess)
- print(p_opt)
- #print(((damped_sin_fun(xdata,*p_opt)-ydata)**2).mean())
- optimize=bh(lambda args: ((damped_sin_fun(xdata,*args)-ydata)**2).mean(), [0.05, initial_frequency_guess, np.pi/2 ,np.mean(ydata),2.3]).x
- plt.plot(xdata,damped_sin_fun(xdata,*p_opt))
- plt.xlim((0,10))
- #plt.plot(xdata,damped_sin_fun(xdata,*optimize))
- #plt.plot(xdata,ydata, 'r.-', ms=1)
- plt.show()
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