def calcBeamPatternLinearArray(self, w, M, spacing, thetas, steering_angle=0, takePowerAndNormalize=False):
x_el = np.linspace( -(M-1)/(2.0/spacing), (M-1)/(2.0/spacing), M )
W_matrix = np.exp(-1j * np.outer(2*np.pi*(np.sin(thetas) - np.sin(steering_angle)), x_el))
W = np.dot(W_matrix , w)
if takePowerAndNormalize:
W = W*W.conj()
W = W / W.max()
return W
def calcBeamPatternLinearArray(self,
w,
M,
spacing,
thetas,
steering_angle=0,
takePowerAndNormalize=False):
x_el = np.linspace(-(M - 1) / (2.0 / spacing),
(M - 1) / (2.0 / spacing), M)
W_matrix = np.exp(
-1j *
np.outer(2 * np.pi *
(np.sin(thetas) - np.sin(steering_angle)), x_el))
W = np.dot(W_matrix, w)
if takePowerAndNormalize:
W = W * W.conj()
W = W / W.max()
return W
def plot(self, axis1, axis2, axis3=None, axis4=None):
# Display results
import framework.mypylab as pl
from framework.mynumpy import abs, db, mean, sin, cos, pi
self.interpolateData()
if VERBOSE:
print 'Start plotting...'
theta,rad = np.meshgrid(self.angles_intrp, self.ranges_intrp)
x = 1000 * rad * sin(theta)
y = 1000 * rad * cos(theta)
## Start Plotting
if (axis1 == 0): # stand alone plotting
pl.figure()
pl.subplot(1,2,1, aspect=1)
pl.pcolormesh(x, y, self.img_das_detected, cmap=pl.cm.gray, vmin=self.minDynRange.value, vmax=self.maxDynRange.value)
pl.gca().invert_yaxis()
else: # Plotting in given axis
axis1.pcolormesh(x, y, self.img_das_detected, cmap=pl.cm.gray, vmin=self.minDynRange.value, vmax=self.maxDynRange.value)
axis1.set_title('Delay-and-sum', fontsize='large')
axis1.set_xlabel('Width [mm]', fontsize='large')
axis1.set_ylabel('Depth [mm]', fontsize='large')
axis1.set_xlim(x.min(), x.max())
axis1.set_ylim(y.max(), y.min())
if (axis2 == 0):
ax = 0
pl.subplot(1,2,2, aspect=1)
pl.pcolormesh(x, y, self.img_cap_detected, cmap=pl.cm.gray, vmin=self.minDynRangeCapon.value, vmax=self.maxDynRangeCapon.value)
pl.gca().invert_yaxis()
pl.show()
else:
ax = axis2.pcolormesh(x, y, self.img_cap_detected, cmap=pl.cm.gray, vmin=self.minDynRangeCapon.value, vmax=self.maxDynRangeCapon.value)
if self.Nb.value > 0:
axis2.set_title('BS-Capon', fontsize='large')
else:
axis2.set_title('ES-Capon', fontsize='large')
axis2.set_xlabel('Width [mm]', fontsize='large')
axis2.set_ylabel('Depth [mm]', fontsize='large')
axis2.set_xlim(x.min(), x.max())
axis2.set_ylim(y.max(), y.min())
if axis3 is not None:
# plot axial profile
#profile_angle = np.arctan( self.profilePos[0] / self.profilePos[1] )
#if profile_angle < self.angles_intrp[-1] and profile_angle > self.angles_intrp[0]:
# range_slice_idx = round(self.angles_intrp.shape[0] * (profile_angle-self.angles_intrp[0]) / (self.angles_intrp[-1]-self.angles_intrp[0]))
# img_das_rslice = img_das_detected[:, range_slice_idx]
# img_cap_rslice = img_cap_detected[:, range_slice_idx]
#
# axis3.plot(y[:,range_slice_idx], img_das_rslice, label='DAS')
# axis3.plot(y[:,range_slice_idx], img_cap_rslice, '-r', label='Capon')
#
# axis3.set_ylim([self.minDynRange.value, self.maxDynRange.value])
#
# axis3.set_title('Radial intensity at %d degrees'%round(profile_angle*180/np.pi))
# axis3.set_xlabel('Depth [mm]')
# axis3.set_ylabel('Radial intensity [dB]')
# axis3.legend(loc=3, markerscale=0.5)
# Plot beampatterns and power spectrums
profile_range = np.sqrt( self.profilePos[0]**2 + self.profilePos[1]**2 ) / 1000.0
profile_angle = np.arctan( self.profilePos[0] / self.profilePos[1] )
if profile_range < self.ranges_intrp[-1] and profile_range > self.ranges_intrp[0] and profile_angle < self.angles_intrp[-1] and profile_angle > self.angles_intrp[0]:
range = round(self.ranges_intrp.shape[0] * (profile_range-self.ranges_intrp[0]) / (self.ranges_intrp[-1]-self.ranges_intrp[0]))
angle = round(self.angles_intrp.shape[0] * (profile_angle-self.angles_intrp[0]) / (self.angles_intrp[-1]-self.angles_intrp[0]))
spacing = 0.5
# plot beamspace data
x_data = self.Xd_i[angle / (2*self.Kx.value), range / (1*self.Ky.value), :]
das_beams = self.calcBeamPatternLinearArray(x_data, self.Nm, spacing, self.angles_intrp, self.angles_intrp[angle], takePowerAndNormalize=True)
axis3.plot(x[range,:], 10*np.log10(das_beams) + self.maxDynRange.value, label='DAS Sample Spectrum')
# make Capon beam pattern
w_capon = self.capon_weights[angle / (2*self.Kx.value), range / (1*self.Ky.value), :]
W_capon = self.calcBeamPatternLinearArray(w_capon, self.L.value, spacing, self.angles_intrp, self.angles_intrp[angle])
W_capon = abs(W_capon*W_capon.conj())
W_capon = W_capon / W_capon[angle]
axis3.plot(x[range,:], 10*np.log10(W_capon) + self.maxDynRange.value - 10 , label='Capon Beampattern')
# make DAS beam pattern for subarrays
W_das = self.calcBeamPatternLinearArray(self.das_w_sub, self.L.value, spacing, self.angles_intrp, self.angles_intrp[angle], takePowerAndNormalize=True)
axis3.plot(x[range,:], 10*np.log10(W_das) + self.maxDynRange.value - 10, label='DAS Beampattern')
# make total Capon beam pattern for the whole system (tx and rx)?
# plot selected direction/angle
axis3.plot([x[range,angle], x[range,angle]], [self.minDynRange.value, self.maxDynRange.value], label='Steering angle')
axis3.set_ylim([self.minDynRange.value, self.maxDynRange.value])
axis3.set_title('Beam pattern at %d degrees and %d mm range'%(round(profile_angle*180/np.pi), round(profile_range*1000)), fontsize='large')
axis3.set_xlabel('Width [mm]', fontsize='large')
axis3.set_ylabel('Intensity/Gain [dB]', fontsize='large')
if self.show_legends.value is 1:
axis3.legend(loc=3, markerscale=0.5)
if axis4 is not None:
profile_range = np.sqrt(self.profilePos[0]**2 + self.profilePos[1]**2) / 1000.0
if profile_range < self.ranges_intrp[-1] and profile_range > self.ranges_intrp[0]:
angle_slice_idx = round(self.ranges_intrp.shape[0] * (profile_range-self.ranges_intrp[0]) / (self.ranges_intrp[-1]-self.ranges_intrp[0]))
self.img_das_aslice = self.img_das_detected[angle_slice_idx, :]
self.img_cap_aslice = self.img_cap_detected[angle_slice_idx, :]
self.x_aslice = x[angle_slice_idx,:]
axis4.plot(self.x_aslice, self.img_das_aslice, label='DAS')
if (self.Nb.value > 0):
axis4.plot(self.x_aslice, self.img_cap_aslice, '-r', label='BS-Capon')
else:
axis4.plot(self.x_aslice, self.img_cap_aslice, '-r', label='ES-Capon')
axis4.set_ylim([self.minDynRange.value, self.maxDynRange.value])
axis4.set_title('Lateral intensity at %d mm range'%round(profile_range*1000), fontsize='large')
axis4.set_xlabel('Width [mm]', fontsize='large')
axis4.set_ylabel('Lateral intensity [dB]', fontsize='large')
if self.show_legends.value is 1:
axis4.legend(loc=3, markerscale=0.5)
if VERBOSE:
print 'done'
return ax
def plot(self, axis1, axis2, axis3=None, axis4=None):
# Display results
import framework.mypylab as pl
from framework.mynumpy import abs, db, mean, sin, cos, pi
self.interpolateData()
if VERBOSE:
print 'Start plotting...'
theta, rad = np.meshgrid(self.angles_intrp, self.ranges_intrp)
x = 1000 * rad * sin(theta)
y = 1000 * rad * cos(theta)
## Start Plotting
if (axis1 == 0): # stand alone plotting
pl.figure()
pl.subplot(1, 2, 1, aspect=1)
pl.pcolormesh(x,
y,
self.img_das_detected,
cmap=pl.cm.gray,
vmin=self.minDynRange.value,
vmax=self.maxDynRange.value)
pl.gca().invert_yaxis()
else: # Plotting in given axis
axis1.pcolormesh(x,
y,
self.img_das_detected,
cmap=pl.cm.gray,
vmin=self.minDynRange.value,
vmax=self.maxDynRange.value)
axis1.set_title('Delay-and-sum', fontsize='large')
axis1.set_xlabel('Width [mm]', fontsize='large')
axis1.set_ylabel('Depth [mm]', fontsize='large')
axis1.set_xlim(x.min(), x.max())
axis1.set_ylim(y.max(), y.min())
if (axis2 == 0):
ax = 0
pl.subplot(1, 2, 2, aspect=1)
pl.pcolormesh(x,
y,
self.img_cap_detected,
cmap=pl.cm.gray,
vmin=self.minDynRangeCapon.value,
vmax=self.maxDynRangeCapon.value)
pl.gca().invert_yaxis()
pl.show()
else:
ax = axis2.pcolormesh(x,
y,
self.img_cap_detected,
cmap=pl.cm.gray,
vmin=self.minDynRangeCapon.value,
vmax=self.maxDynRangeCapon.value)
if self.Nb.value > 0:
axis2.set_title('BS-Capon', fontsize='large')
else:
axis2.set_title('ES-Capon', fontsize='large')
axis2.set_xlabel('Width [mm]', fontsize='large')
axis2.set_ylabel('Depth [mm]', fontsize='large')
axis2.set_xlim(x.min(), x.max())
axis2.set_ylim(y.max(), y.min())
if axis3 is not None:
# plot axial profile
#profile_angle = np.arctan( self.profilePos[0] / self.profilePos[1] )
#if profile_angle < self.angles_intrp[-1] and profile_angle > self.angles_intrp[0]:
# range_slice_idx = round(self.angles_intrp.shape[0] * (profile_angle-self.angles_intrp[0]) / (self.angles_intrp[-1]-self.angles_intrp[0]))
# img_das_rslice = img_das_detected[:, range_slice_idx]
# img_cap_rslice = img_cap_detected[:, range_slice_idx]
#
# axis3.plot(y[:,range_slice_idx], img_das_rslice, label='DAS')
# axis3.plot(y[:,range_slice_idx], img_cap_rslice, '-r', label='Capon')
#
# axis3.set_ylim([self.minDynRange.value, self.maxDynRange.value])
#
# axis3.set_title('Radial intensity at %d degrees'%round(profile_angle*180/np.pi))
# axis3.set_xlabel('Depth [mm]')
# axis3.set_ylabel('Radial intensity [dB]')
# axis3.legend(loc=3, markerscale=0.5)
# Plot beampatterns and power spectrums
profile_range = np.sqrt(self.profilePos[0]**2 +
self.profilePos[1]**2) / 1000.0
profile_angle = np.arctan(self.profilePos[0] / self.profilePos[1])
if profile_range < self.ranges_intrp[
-1] and profile_range > self.ranges_intrp[
0] and profile_angle < self.angles_intrp[
-1] and profile_angle > self.angles_intrp[0]:
range = round(self.ranges_intrp.shape[0] *
(profile_range - self.ranges_intrp[0]) /
(self.ranges_intrp[-1] - self.ranges_intrp[0]))
angle = round(self.angles_intrp.shape[0] *
(profile_angle - self.angles_intrp[0]) /
(self.angles_intrp[-1] - self.angles_intrp[0]))
spacing = 0.5
# plot beamspace data
x_data = self.Xd_i[angle / (2 * self.Kx.value),
range / (1 * self.Ky.value), :]
das_beams = self.calcBeamPatternLinearArray(
x_data,
self.Nm,
spacing,
self.angles_intrp,
self.angles_intrp[angle],
takePowerAndNormalize=True)
axis3.plot(x[range, :],
10 * np.log10(das_beams) + self.maxDynRange.value,
label='DAS Sample Spectrum')
# make Capon beam pattern
w_capon = self.capon_weights[angle / (2 * self.Kx.value),
range / (1 * self.Ky.value), :]
W_capon = self.calcBeamPatternLinearArray(
w_capon, self.L.value, spacing, self.angles_intrp,
self.angles_intrp[angle])
W_capon = abs(W_capon * W_capon.conj())
W_capon = W_capon / W_capon[angle]
axis3.plot(x[range, :],
10 * np.log10(W_capon) + self.maxDynRange.value -
10,
label='Capon Beampattern')
# make DAS beam pattern for subarrays
W_das = self.calcBeamPatternLinearArray(
self.das_w_sub,
self.L.value,
spacing,
self.angles_intrp,
self.angles_intrp[angle],
takePowerAndNormalize=True)
axis3.plot(x[range, :],
10 * np.log10(W_das) + self.maxDynRange.value - 10,
label='DAS Beampattern')
# make total Capon beam pattern for the whole system (tx and rx)?
# plot selected direction/angle
axis3.plot([x[range, angle], x[range, angle]],
[self.minDynRange.value, self.maxDynRange.value],
label='Steering angle')
axis3.set_ylim([self.minDynRange.value, self.maxDynRange.value])
axis3.set_title(
'Beam pattern at %d degrees and %d mm range' % (round(
profile_angle * 180 / np.pi), round(profile_range * 1000)),
fontsize='large')
axis3.set_xlabel('Width [mm]', fontsize='large')
axis3.set_ylabel('Intensity/Gain [dB]', fontsize='large')
if self.show_legends.value is 1:
axis3.legend(loc=3, markerscale=0.5)
if axis4 is not None:
profile_range = np.sqrt(self.profilePos[0]**2 +
self.profilePos[1]**2) / 1000.0
if profile_range < self.ranges_intrp[
-1] and profile_range > self.ranges_intrp[0]:
angle_slice_idx = round(
self.ranges_intrp.shape[0] *
(profile_range - self.ranges_intrp[0]) /
(self.ranges_intrp[-1] - self.ranges_intrp[0]))
self.img_das_aslice = self.img_das_detected[angle_slice_idx, :]
self.img_cap_aslice = self.img_cap_detected[angle_slice_idx, :]
self.x_aslice = x[angle_slice_idx, :]
axis4.plot(self.x_aslice, self.img_das_aslice, label='DAS')
if (self.Nb.value > 0):
axis4.plot(self.x_aslice,
self.img_cap_aslice,
'-r',
label='BS-Capon')
else:
axis4.plot(self.x_aslice,
self.img_cap_aslice,
'-r',
label='ES-Capon')
axis4.set_ylim(
[self.minDynRange.value, self.maxDynRange.value])
axis4.set_title('Lateral intensity at %d mm range' %
round(profile_range * 1000),
fontsize='large')
axis4.set_xlabel('Width [mm]', fontsize='large')
axis4.set_ylabel('Lateral intensity [dB]', fontsize='large')
if self.show_legends.value is 1:
axis4.legend(loc=3, markerscale=0.5)
if VERBOSE:
print 'done'
return ax