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from pylab import *
from scipy import *
from scipy.optimize import leastsq
def err_func(p,y,x):
A,k,theta = p
return y - A*sin(2*pi*k*x+theta)
def evaluate(x,p):
return p[0] * sin(2*pi*p[1]*x+p[2])
ax = arange(0, 0.2, 0.001)
A,k,theta = 5, 50.0, pi/3
y_true = A*sin(2*pi*k*ax+theta)
y_meas = y_true + 0.2*randn(len(ax))
p0 = [6, 50.0, pi/3]
plsq = leastsq(err_func,p0,args=(y_meas,ax))
print( plsq)
plot(ax,y_true)
plot(ax,y_meas,'o')
plot(ax,evaluate(ax,plsq[0]))
show()
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