def goSimpleTest():
nt, ni = 481, 2 # number of time samples; number of impulses
freq, decay = 0.08, 0.05 # peak frequency and decay for wavelet
na, ka = 81, -20 # sampling for inverse wavelet A
nh, kh = 181, -90 # sampling for wavelet H
dt, ft = 0.004, 0.000 # used for plotting only
tmin, tmax = 0, nt - 1
sfac = 1.000
st = Sampling(nt, dt, ft)
for mp in [False]: # True, for minimum-phase; False for other
hk = getWavelet(freq, decay, nh, kh, mp) # known wavelet
for r in [2.0]: # for stretch and squeeze, ...
fmin, fmax = 0.0, min(0.5,
0.5 * r) # bandpass (lowpass), if stretching
p, q = makeImpulses(r, nt, ni)
f = addWavelet(freq, decay, p, mp)
g = addWavelet(freq, decay, q, mp)
u = rampfloat(0.0, r, nt)
if r <= 1.0:
u = add((1.0 - r) * (nt - 1), u)
ww = WaveletWarping()
ww.setFrequencyRange(fmin, fmax)
ww.setTimeRange(tmin, tmax)
ww.setStabilityFactor(sfac)
ak = ww.getWaveletH(nh, kh, hk, na, ka) # known inverse wavelet
aw = ww.getInverseA(na, ka, u, f, g) # estimated inverse wavelet
hw = ww.getWaveletH(na, ka, aw, nh, kh) # estimated wavelet
#dump(ak)
#dump(aw)
sg = ww.applyS(u, g)
af = ww.applyA(na, ka, aw, f)
ag = ww.applyA(na, ka, aw, g)
lag = ww.applyL(u, ag) # lowpass, if squeezing
slag = ww.applyS(u, lag)
baf = ww.applyB(af)
bslag = ww.applyB(slag)
hslag = ww.applyH(nh, kh, hw, slag)
nhw = normalize(hw)
nhk = normalize(hk)
title = "r = " + str(r)
#plotSequences(st,[f,g],labels=["f","g"],title=title)
plotSequences(st, [f, sg], labels=["f", "Sg"], title=title)
#plotSequences(st,[f,g],labels=["f","g"],title=title)
#plotSequences(st,[af,ag],labels=["Af","Ag"],title=title)
#plotSequences(st,[af,lag],labels=["Af","LAg"],title=title)
plotSequences(st, [af, slag], labels=["Af", "SLAg"], title=title)
#plotSequences(st,[baf,bslag],labels=["BAf","BSLAg"],title=title)
plotSequences(st, [f, hslag], labels=["f", "HSLAg"], title=title)
plotWavelets(Sampling(nh, dt, kh * dt), [nhw, nhk], title=title)
def goSimpleTest():
nt,ni = 481,2 # number of time samples; number of impulses
freq,decay = 0.08,0.05 # peak frequency and decay for wavelet
na,ka = 81,-20 # sampling for inverse wavelet A
nh,kh = 181,-90 # sampling for wavelet H
dt,ft = 0.004,0.000 # used for plotting only
tmin,tmax = 0,nt-1
sfac = 1.000
st = Sampling(nt,dt,ft)
for mp in [True,False]: # True, for minimum-phase; False for other
hk = getWavelet(freq,decay,nh,kh,mp) # known wavelet
for r in [0.5,2.0]: # for stretch and squeeze, ...
fmin,fmax = 0.0,min(0.5,0.5*r) # bandpass (lowpass), if stretching
p,q = makeImpulses(r,nt,ni)
f = addWavelet(freq,decay,p,mp)
g = addWavelet(freq,decay,q,mp)
u = rampfloat(0.0,r,nt)
if r<=1.0:
u = add((1.0-r)*(nt-1),u)
ww = WaveletWarping()
ww.setFrequencyRange(fmin,fmax)
ww.setTimeRange(tmin,tmax)
ww.setStabilityFactor(sfac)
ak = ww.getWaveletH(nh,kh,hk,na,ka) # known inverse wavelet
aw = ww.getInverseA(na,ka,u,f,g) # estimated inverse wavelet
hw = ww.getWaveletH(na,ka,aw,nh,kh) # estimated wavelet
#dump(ak)
#dump(aw)
sg = ww.applyS(u,g)
af = ww.applyA(na,ka,aw,f)
ag = ww.applyA(na,ka,aw,g)
lag = ww.applyL(u,ag) # lowpass, if squeezing
slag = ww.applyS(u,lag)
baf = ww.applyB(af)
bslag = ww.applyB(slag)
hslag = ww.applyH(nh,kh,hw,slag)
nhw = normalize(hw)
nhk = normalize(hk)
title = "r = "+str(r)
#plotSequences(st,[f,g],labels=["f","g"],title=title)
#plotSequences(st,[f,sg],labels=["f","Sg"],title=title)
#plotSequences(st,[f,g],labels=["f","g"],title=title)
#plotSequences(st,[af,ag],labels=["Af","Ag"],title=title)
#plotSequences(st,[af,lag],labels=["Af","LAg"],title=title)
#plotSequences(st,[af,slag],labels=["Af","SLAg"],title=title)
#plotSequences(st,[baf,bslag],labels=["BAf","BSLAg"],title=title)
plotSequences(st,[f,hslag],labels=["f","HSLAg"],title=title)
plotWavelets(Sampling(nh,dt,kh*dt),[nhw,nhk],title=title)
def goSino():
na, ka = 81, -20 # sampling for inverse wavelet A
nh, kh = 181, -90 # sampling for wavelet H
nt, dt, ft = 501, 0.004, 0.000 # used for plotting only
nx, dx, fx = 721, 0.015, 0.000
f, g, u = getSinoImages()
st = Sampling(nt, dt, ft)
sx = Sampling(nx, dx, fx)
tmin, tmax = 88, 363
fmin, fmax = 0.0, 0.5
sfac = 1.000
ww = WaveletWarping()
ww.setFrequencyRange(fmin, fmax)
ww.setTimeRange(tmin, tmax)
ww.setStabilityFactor(sfac)
aw = ww.getInverseA(na, ka, u, f, g) # estimated inverse wavelet
hw = ww.getWaveletH(na, ka, aw, nh, kh) # estimated wavelet
nhw = normalize(hw)
af = ww.applyA(na, ka, aw, f)
ag = ww.applyA(na, ka, aw, g)
slag = ww.applyS(u, ww.applyL(u, ag))
slg = ww.applyS(u, ww.applyL(u, g))
cmin, cmax = -0.5, 0.5
#plotImage(st,sx,haslg,fmin=cmin,fmax=cmax,zoom=True)
#plotImage(st,sx,hslag,fmin=cmin,fmax=cmax,zoom=True)
plotImage(st, sx, f, fmin=cmin, fmax=cmax, zoom=True)
plotImage(st, sx, slg, fmin=cmin, fmax=cmax, zoom=True)
plotImage(st, sx, af, fmin=cmin, fmax=cmax, zoom=True)
plotImage(st, sx, slag, fmin=cmin, fmax=cmax, zoom=True)
f0 = ww.rms(f)
f1 = ww.rms(af)
g0 = ww.rms(slg)
g1 = ww.rms(slag)
e0 = ww.rms(sub(f, slg))
e1 = ww.rms(sub(af, slag))
print "f0 =", f0, " f1 =", f1
print "g0 =", g0, " g1 =", g1
print "e0 =", e0, " e1 =", e1
def goSino(): na,ka = 81,-20 # sampling for inverse wavelet A nh,kh = 181,-90 # sampling for wavelet H nt,dt,ft = 501,0.004,0.000 # used for plotting only nx,dx,fx = 721,0.015,0.000 f,g,u = getSinoImages() st = Sampling(nt,dt,ft) sx = Sampling(nx,dx,fx) tmin,tmax = 88,363 fmin,fmax = 0.0,0.5 sfac = 1.000 ww = WaveletWarping() ww.setFrequencyRange(fmin,fmax) ww.setTimeRange(tmin,tmax) ww.setStabilityFactor(sfac) aw = ww.getInverseA(na,ka,u,f,g) # estimated inverse wavelet hw = ww.getWaveletH(na,ka,aw,nh,kh) # estimated wavelet nhw = normalize(hw) af = ww.applyA(na,ka,aw,f) ag = ww.applyA(na,ka,aw,g) slag = ww.applyS(u,ww.applyL(u,ag)) slg = ww.applyS(u,ww.applyL(u,g)) cmin,cmax = -0.5,0.5 #plotImage(st,sx,haslg,fmin=cmin,fmax=cmax,zoom=True) #plotImage(st,sx,hslag,fmin=cmin,fmax=cmax,zoom=True) plotImage(st,sx,f,fmin=cmin,fmax=cmax,zoom=True) plotImage(st,sx,slg,fmin=cmin,fmax=cmax,zoom=True) plotImage(st,sx,af,fmin=cmin,fmax=cmax,zoom=True) plotImage(st,sx,slag,fmin=cmin,fmax=cmax,zoom=True) f0 = ww.rms(f) f1 = ww.rms(af) g0 = ww.rms(slg) g1 = ww.rms(slag) e0 = ww.rms(sub(f,slg)) e1 = ww.rms(sub(af,slag)) print "f0 =",f0," f1 =",f1 print "g0 =",g0," g1 =",g1 print "e0 =",e0," e1 =",e1
