# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see .
#
# Copyright(C) 2013-2018 Max-Planck-Society
#
# NIFTy is being developed at the Max-Planck-Institut fuer Astrophysik
# and financially supported by the Studienstiftung des deutschen Volkes.
from ..field import exp
def LinearizedSignalResponse(Instrument, nonlinearity, ht, power, m):
return Instrument * nonlinearity.derivative(m) * ht * power
def LinearizedPowerResponse(Instrument, nonlinearity, ht, Distribution, tau,
xi):
power = exp(0.5*tau)
position = ht(Distribution(power)*xi)
linearization = nonlinearity.derivative(position)
return 0.5*Instrument*linearization*ht*xi*Distribution*power