def plot_complex(f0, a_norm, do_plots):
sr = 48000
dur = 3
t = np.linspace(0, 2 * np.pi * f0 * dur, sr * dur)
audio = np.sin(t)
audio = np.append(audio, np.zeros(sr))
method = DetectorBank.runge_kutta
f_norm = DetectorBank.freq_unnormalized
d = 0.0001
gain = 5
f = np.array([f0])
bandwidth = np.zeros(len(f))
det_char = np.array(list(zip(f, bandwidth)))
det = DetectorBank(sr, audio.astype(np.float32), 4, det_char,
method | f_norm | a_norm, d, gain)
z = np.zeros((len(f), len(audio)), dtype=np.complex128)
det.getZ(z)
r = np.zeros(z.shape)
det.absZ(r, z)
# number of oscillations to plot
nOsc = 5
# signal may have been modulated by DetectorBank
# detFreq is the frequency the detector is actually operating at, therefore
# the frequency of the orbits
detFreq = det.getW(0) / (2 * np.pi)
# number of samples in nOsc
sOsc = int(nOsc / detFreq * sr)
t0 = (dur * sr) - sOsc # int(0.0 * sr)
t1 = dur * sr # int(nOsc/f[0] * sr)
x = z[0].real[t0:t1]
y = z[0].imag[t0:t1]
c = ['darkmagenta']
a, b = getEllipseParams(x, y)
e = np.sqrt(a**2 - b**2) / a
if do_plots:
plt.plot(x, y, c[0])
plt.grid()
plt.title('{}Hz'.format(f0))
plt.xlabel('real')
plt.ylabel('imag')
plt.show()
plt.close()
return e
def getMax(f0, sr, method, f_norm):
""" Get maximum abs value in response. Also returns internal detector
frequency (which will be different from f0 if search normalisation is
used)
Parameters
----------
fo : float
Centre frequency
sr : int
Sample rate
method : DetectorBank Feature
Numerical method
f_norm : DetectorBank Feature
Frequency normalisation
Returns
-------
z value at point which is max value in |z|, max value in |z|,
frequency used by detector
"""
f = np.array([f0])
b = np.zeros(len(f))
det_char = np.array(list(zip(f, b)))
d = 0.0001
amp = 5
a_norm = DetectorBank.amp_unnormalized
audio = make_audio(f0, 1, 4, sr)
det = DetectorBank(sr, audio.astype(np.float32), 4, det_char,
method | f_norm | a_norm, d, amp)
z = np.zeros((len(f), len(audio)), dtype=np.complex128)
r = np.zeros(z.shape)
det.getZ(z)
m = det.absZ(r, z)
i = np.where(r[0] == m)[0][0]
mz = z[0][i]
f_adjusted = det.getW(0) / (2 * np.pi)
return mz, m, f_adjusted
r = np.zeros(z.shape)
det = DetectorBank(sr, audio, 4, det_char, method | f_norm | a_norm, d, amp)
det.getZ(z)
det.absZ(r, z)
t = np.linspace(0, len(audio) / sr, len(audio))
c = ['darkmagenta', 'orange', 'red']
style = ['-', ':', '--']
#t *= 1000
t0 = 0
t1 = len(audio) # int(sr * 0.2) #
for k in range(len(r)):
plt.plot(t[t0:t1], r[k][t0:t1], c[k], label=f[k])
print('Det freq: {}Hz'.format(det.getW(k) / (2 * np.pi)))
# plt.plot(t[t0:t1], r[k][t0:t1], 'black', label=f[k], linestyle=style[k])
#### make table of time advances
# need a new DetectorBank for this, as we're using more frequencies
f = np.linspace(f0, f0 + 5, num=11)
bandwidth = np.zeros(len(f))
det_char = np.array(list(zip(f, bandwidth)))
z = np.zeros((len(f), len(audio)), dtype=np.complex128)
r = np.zeros(z.shape)
det = DetectorBank(sr, audio, 4, det_char, method | f_norm | a_norm, d, amp)
det.getZ(z)
def plot_complex(f0, i, nOsc, end):
d = 0.0001
sr = 48000
dur = 5
t = np.linspace(0, 2 * np.pi * f0 * dur, sr * dur)
audio = np.sin(t)
audio = np.append(audio, np.zeros(sr))
gain = 5
method = DetectorBank.runge_kutta #central_difference #
f_norm = DetectorBank.freq_unnormalized
a_norm = DetectorBank.amp_unnormalized
d = 0.0001
gain = 5
f = np.array([f0])
bandwidth = np.zeros(len(f))
det_char = np.array(list(zip(f, bandwidth)))
det = DetectorBank(sr, audio.astype(np.float32), 4, det_char,
method | f_norm | a_norm, d, gain)
z = np.zeros((len(f), len(audio)), dtype=np.complex128)
det.getZ(z)
r = np.zeros(z.shape)
det.absZ(r, z)
# number of oscillations to plot
# signal may have been modulated by DetectorBank
# detFreq is the frequency the detector is actually operating at, therefore
# the frequency of the orbits
detFreq = det.getW(0) / (2 * np.pi)
# number of samples in nOsc
sOsc = int(nOsc / detFreq * sr)
if end == 'first':
t0 = 0
t1 = sOsc
elif end == 'last':
t0 = (dur * sr) - sOsc
t1 = dur * sr
x = z[0].real[t0:t1]
y = z[0].imag[t0:t1]
c = ['darkmagenta']
a, b = getEllipseParams(x, y)
e = np.sqrt(a**2 - b**2) / a
plt.plot(x, y, c[0])
plt.grid(True)
plt.xlabel('real')
plt.ylabel('imag')
fig = plt.gcf()
fig.set_size_inches(8, 8)
plt.show()
plt.close()
return e