def find_null_offset(xpts, powers, default=0.0):
"""Finds the offset corresponding to the minimum power using a fit to the measured data"""
def model(x, a, b, c):
return a*(x - b)**2 + c
powers = np.power(10, powers/10.)
min_idx = np.argmin(powers)
try:
fit = curve_fit(model, xpts, powers, p0=[1, xpts[min_idx], powers[min_idx]])
except RuntimeError:
logger.warning("Mixer null offset fit failed.")
return default, np.zeros(len(powers))
best_offset = np.real(fit[0][1])
best_offset = np.minimum(best_offset, xpts[-1])
best_offset = np.maximum(best_offset, xpts[0])
xpts_fine = np.linspace(xpts[0],xpts[-1],101)
fit_pts = np.array([np.real(model(x, *fit[0])) for x in xpts_fine])
if min(fit_pts)<0: fit_pts-=min(fit_pts)-1e-10 #prevent log of a negative number
return best_offset, xpts_fine, 10*np.log10(fit_pts)
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