mirror of
https://asciireactor.com/otho/psdlag-agn.git
synced 2024-11-25 00:05:06 +00:00
125 lines
2.8 KiB
Python
125 lines
2.8 KiB
Python
# -*- coding: utf-8 -*-
|
|
from __future__ import unicode_literals
|
|
import numpy as np
|
|
import clag
|
|
import sys
|
|
|
|
|
|
# For jupyter notebook
|
|
# %pylab inline
|
|
|
|
try:
|
|
opts,args = getopt.getopt(args, "")
|
|
except getopt.GetoptError:
|
|
print 'analyze_lightcure.py <reference curve> <compared curve>'
|
|
sys.exit(2)
|
|
|
|
## load the first light curve
|
|
lc1 = np.loadtxt(args[0])
|
|
|
|
# works if first two entries represent minimum spacing, from example
|
|
# dt = lc1[1,0] - lc1[0, 0]
|
|
|
|
# Time resolution determined from inspection and testing.
|
|
dt = 0.01
|
|
|
|
|
|
_ = plot(lc1[:,0], lc1[:,1])
|
|
_ = plot(lc1[:,0], lc1[:,3])
|
|
|
|
# Split the light curve into segments #
|
|
seg_length = 256
|
|
index = np.arange(len(lc1)).reshape((-1, seg_length))
|
|
|
|
lc1_time = [lc1[i, 0] for i in index]
|
|
lc1_strength = [lc1[i, 1] for i in index]
|
|
lc1_strength_err = [lc1[i, 2] for i in index]
|
|
|
|
# This would work if both curves are in same file
|
|
# Lc2 = [lc1[i, 3] for i in index]
|
|
#Lc2e = [lc1[i, 4] for i in index]
|
|
|
|
|
|
|
|
#### Get the psd for the first light curve ####
|
|
|
|
# These bin values determined summer 2015 for STORM III optical/UV lightcurves
|
|
fqL = [0.0049999999, 0.018619375, 0.044733049, 0.069336227, 0.10747115, 0.16658029, 0.25819945, 0.40020915, 0.62032418]
|
|
|
|
# using utilities to set up frequency bins #
|
|
# fqL = np.logspace(np.log10(1.1/seg_length),np.log10(.5/dt),7)
|
|
# fqL = np.concatenate(([0.5/seg_length], fqL))
|
|
|
|
nfq = len(fqL) - 1
|
|
|
|
|
|
|
|
## initialize the psd class for multiple light curves ##
|
|
P1 = clag.clag('psd', lc1_time, lc1_strength, lc1_strength_err, dt, fqL)
|
|
|
|
|
|
|
|
|
|
|
|
## initial parameters, start with ones
|
|
inpars = np.ones(nfq)
|
|
|
|
## print the loglikelihood for the input values ##
|
|
print P1.logLikelihood(inpars)
|
|
|
|
|
|
|
|
## Now do the fitting and find the best fit psd values at the given frequency bins ##
|
|
psd1, psd1e = clag.optimize(P1, inpars)
|
|
|
|
|
|
|
|
|
|
## plot ##
|
|
fqd = 10**(np.log10( (fqL[:-1]*fqL[1:]) )/2.)
|
|
|
|
loglog(fqd, 0.1*fqd**(-1.5), label='input psd')
|
|
errorbar(fqd[1:-1], psd1[1:-1], yerr=psd1e[1:-1], fmt='o', ms=10, label='fit')
|
|
|
|
|
|
|
|
|
|
## Now do the second light curve
|
|
|
|
P2 = clag.clag('psd', lc1_time, Lc2, Lc2e, dt, fqL)
|
|
|
|
psd2, psd2e = clag.optimize(P2, inpars)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
### Now the cross spectrum ###
|
|
### We also give it the calculated psd values as input ###
|
|
Cx = clag.clag('cxd',
|
|
[list(i) for i in zip(lc1_time,lc1_time)],
|
|
[list(i) for i in zip(lc1_strength,Lc2)],
|
|
[list(i) for i in zip(lc1_strength_err,Lc2e)],
|
|
dt, fqL, psd1, psd2)
|
|
|
|
inpars = np.concatenate( (0.3*(psd1*psd2)**0.5, psd1*0+1.) )
|
|
p, pe = clag.optimize(Cx, inpars)
|
|
phi, phie = p[nfq:], pe[nfq:]
|
|
lag, lage = phi/(2*np.pi*fqd), phie/(2*np.pi*fqd)
|
|
cx, cxe = p[:nfq], pe[:nfq]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
## plot ##
|
|
|
|
semilogx(fqd, fqd*0+1.0, label='input phase lag')
|
|
ylim([0.8, 1.2])
|
|
errorbar(fqd[1:-1], phi[1:-1], yerr=phie[1:-1], fmt='o', ms=10, label='fit')
|
|
|