def test9():
N = 128
H = genf2hilbert(N)
hc = fourier.ifft(H)
h0 = [samp.imag for samp in hc]
h = h0[N//2:] + h0[0:N//2] + [h0[0]]
print len(h)
stemplot(h)
#Signal
Nsig = 1024
f = 50
signal = [math.sin(2*f*math.pi*x/Nsig) for x in xrange(Nsig)]
hilbsign, origsign = convolution.convolveorig(h, N//2, signal)
mag = [math.sqrt(origsign[x]*origsign[x] + hilbsign[x]*hilbsign[x]) for x in xrange(len(hilbsign))]
fig, ax = pyplot.subplots(1)
ax.plot(hilbsign,'-r')
ax.plot(origsign,'-b')
ax.plot(mag,'-k')
pyplot.show()
def test11():
N = 1024
f = 25
dd = N/2
nn = N/10
signal = [math.exp(-((dd-x)/nn)**2/2)*math.sin(2*f*math.pi*x/N) for x in xrange(N)]
###
Nhilb = 256
H = genf2hilbert(Nhilb)
hc = fourier.ifft(H)
h0 = [samp.imag for samp in hc]
h = h0[Nhilb//2:] + h0[0:Nhilb//2] + [h0[0]]
###
hsignal, origsig = convolution.convolveorig(h, Nhilb//2, signal)
mag = [math.sqrt(origsig[x]*origsig[x] + hsignal[x]*hsignal[x]) for x in xrange(len(hsignal))]
###
fig, ax = pyplot.subplots(1)
ax.plot(origsig,'-b')
ax.plot(hsignal,'-r')
ax.plot(mag,'-k')
pyplot.show()
def test3():
N = 1024
f = 10
signal = [math.sin(2*f*math.pi*x/N) for x in xrange(N)]
#signal = [0]*512 + [1] + [0]*511
t = [x/N for x in xrange(N)]
hilb = genhilbert(150+1)
dly = convolution.Delay(75, len(hilb))
cnv = convolution.Convolution(hilb)
hilbsign, origsign = convolution.convolveorig(hilb, 75, signal)
print len(origsign)
print len(hilbsign)
#fig, ax = pyplot.subplots(1)
#ax.plot(t, signal,'-')
#pyplot.show()
mag = [math.sqrt(origsign[x]*origsign[x] + hilbsign[x]*hilbsign[x]) for x in xrange(len(hilbsign))]
fig, ax = pyplot.subplots(1)
ax.plot(hilbsign,'-r')
ax.plot(origsign,'-b')
ax.plot(mag,'-k')
pyplot.show()
def test7():
N = 1024
f = 20
signal = [math.sin(2*f*math.pi*x/N) for x in xrange(N)]
#signal = [0]*512 + [1] + [0]*511
t = [x/N for x in xrange(N)]
Nhilb = 128
H = genfhilbert(Nhilb)
hc = fourier.ifft(H)
h0 = [samp.real for samp in hc]
hilb = h0[Nhilb//2:] + h0[0:Nhilb//2] + [h0[0]]
print len(hilb)
hilbsign, origsign = convolution.convolveorig(hilb, 64, signal)
print len(origsign)
print len(hilbsign)
#fig, ax = pyplot.subplots(1)
#ax.plot(t, signal,'-')
#pyplot.show()
mag = [math.sqrt(origsign[x]*origsign[x] + hilbsign[x]*hilbsign[x]) for x in xrange(len(hilbsign))]
fig, ax = pyplot.subplots(1)
ax.plot(hilbsign,'-r')
ax.plot(origsign,'-b')
ax.plot(mag,'-k')
pyplot.show()