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SHMultitaperSE.py
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SHMultitaperSE.py
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#!/usr/bin/env python
"""
This script tests the localized spectral analysis routines
"""
# standard imports:
import os
import sys
import numpy as np
import matplotlib as mpl
import matplotlib.pyplot as plt
# import shtools:
sys.path.append(os.path.join(os.path.dirname(__file__), "../../.."))
import pyshtools as shtools
# set shtools plot style:
sys.path.append(os.path.join(os.path.dirname(__file__), "../Common"))
from FigStyle import style_shtools
mpl.rcParams.update(style_shtools)
def main():
test_MultitaperSE()
def test_MultitaperSE():
print '\n---- testing SHReturnTapersM ----'
theta0_deg = 20.
theta0 = np.radians(theta0_deg)
lmax = 10
orderM = 2
print 'creating spherical cap tapers with:',
print 'size {:1.0f} deg, bandwidth {:d}, order {:d}'.format(theta0_deg, lmax, orderM)
tapers, concentrations = shtools.SHReturnTapersM(theta0, lmax, orderM)
print 'first 3 taper concentrations:'
print concentrations[:3]
print '\n---- testing SHReturnTapers ----'
theta0_deg = 20.
theta0 = np.radians(theta0_deg)
lmax = 20
print 'creating spherical cap tapers of',
print 'size {:1.0f} deg with bandwidth {:d}'.format(theta0_deg, lmax)
tapers, concentrations, taperorder = shtools.SHReturnTapers(theta0, lmax)
print 'first 10 taper concentrations:'
print concentrations[:10]
print '\n---- testing SHMultiTaperSE ----'
lmax = 80
ntapers = 3
tapersk = tapers[:, :ntapers]
torders = taperorder[:ntapers]
coeffs = np.random.normal(size=2 * (lmax + 1) * (lmax + 1)).reshape(2, lmax + 1, lmax + 1)
localpower, localpower_sd = shtools.SHMultiTaperSE(coeffs, tapersk, torders)
print 'total power:', np.sum(localpower)
print '\n---- testing SHMultiTaperCSE ----'
lmax = 80
ntapers = 3
coeffs1 = np.random.normal(size=2 * (lmax + 1) * (lmax + 1)).reshape(2, lmax + 1, lmax + 1)
coeffs2 = 0.5 * (coeffs1 + np.random.normal(size=2 * (lmax + 1) * (lmax + 1)).reshape(2, lmax + 1, lmax + 1))
localpower, localpower_sd = shtools.SHMultiTaperCSE(coeffs1, coeffs2, tapersk, torders)
print 'total power:', np.sum(localpower)
print '\n---- testing SHLocalizedAdmitCorr ----'
lat = 90.
lon = 0.
k = 3
admit, corr, dadmit, dcorr = shtools.SHLocalizedAdmitCorr(coeffs1, coeffs2, tapers, taperorder, k, lat, lon)
print admit
print '\n---- testing ComputeDm ----'
theta0_deg = 20.
theta0 = np.radians(theta0_deg)
lmax = 10
m = 2
Dm = shtools.ComputeDm(lmax, m, theta0)
print Dm[:3, :3]
print '\n---- testing ComputeDG82 ----'
theta0_deg = 20.
theta0 = np.radians(theta0_deg)
lmax = 10
m = 2
DG82 = shtools.ComputeDG82(lmax, m, theta0)
print DG82[:3, :3]
print '\n---- testing SHFindLWin ----'
theta0_deg = 20.
theta0 = np.radians(theta0_deg)
m = 2
ntapers = 3
minconcentration = 0.8
lmax = shtools.SHFindLWin(theta0, m, minconcentration, taper_number=ntapers)
print lmax
print '\n---- testing SHBiasK ----'
lmax = 80
power_unbiased = 1. / (1. + np.arange(lmax + 1))**2
power_biased = shtools.SHBiasK(tapers, power_unbiased)
print(power_biased[:lmax + 1] / power_unbiased)[:5]
print '\n---- testing SHBias ----'
lmax = 80
power_unbiased = 1. / (1. + np.arange(lmax + 1))**2
power_biased = shtools.SHBias(tapers[:, 2], power_unbiased)
print tapers.shape
print(power_biased[:lmax + 1] / power_unbiased)[:5]
print '\n---- testing SHBiasAdmitCorr ----'
lmax = 80
Stt = 1. / (1. + np.arange(lmax + 1))**2
Sgg = 1. / (1. + np.arange(lmax + 1))**2
Sgt = 0.5 / (1. + np.arange(lmax + 1))**2
admit, corr = shtools.SHBiasAdmitCorr(Sgt, Sgg, Stt, tapers[:, 2])
print corr
#
# This is not yet working!
#
# print '\n---- testing SHMTDebias ----'
# lmax = 80
# lwin,ntapers = tapers.shape
# mtspectra = np.zeros( (2,lmax+lwin-1) )
# mtspectra[0] = power_biased
# mtspectra[1] = 1e-1*power_biased
# print mtspectra.shape
# mtdebias,lmid = shtools.SHMTDebias(mtspectra,tapers[:,:2],nl=2*lwin)
# print mtdebias
#==== EXECUTE SCRIPT ====
if __name__ == "__main__":
main()