def test_2(self):
# Define signal in range (-pi, pi)
phase = np.pi*(np.fmod(2*np.arange(self.n)*self.f_rf*self.T_s, 2) - 1)
amplitude = np.ones(self.n)
# From polar to IQ
signal = polar_to_cartesian(amplitude, phase)
# Drop some digits to avoid rounding errors
signal_real = np.around(signal.real, 12)
signal_imag = np.around(signal.imag, 12)
theor_real = np.around(np.cos(phase), 12) # what it should be
theor_imag = np.around(np.sin(phase), 12) # what it should be
self.assertSequenceEqual(signal_real.tolist(), theor_real.tolist(),
msg="In TestIQ test_2, real part is not correct")
self.assertSequenceEqual(signal_imag.tolist(), theor_imag.tolist(),
msg="In TestIQ test_2, imaginary part is not correct")
def test_3(self):
# Define signal in range (-pi, pi)
phase = np.pi*(np.fmod(2*np.arange(self.n)*self.f_rf*self.T_s, 2) - 1)
amplitude = np.ones(self.n)
# Forwards and backwards transform
signal = polar_to_cartesian(amplitude, phase)
amplitude_new, phase_new = cartesian_to_polar(signal)
# Drop some digits to avoid rounding errors
phase = np.around(phase, 11)
amplitude = np.around(amplitude, 11)
amplitude_new = np.around(amplitude_new, 11)
phase_new = np.around(phase_new, 11)
self.assertSequenceEqual(phase.tolist(), phase_new.tolist(),
msg="In TestIQ test_3, phase is not correct")
self.assertSequenceEqual(amplitude.tolist(), amplitude_new.tolist(),
msg="In TestIQ test_3, amplitude is not correct")
def test_4(self):
# Define signal in range (-pi, pi)
phase = np.pi*(np.fmod(2*np.arange(self.n)*self.f_rf*self.T_s, 2) - 1)
signal = np.cos(phase) + 1j*np.sin(phase)
# Forwards and backwards transform
amplitude, phase = cartesian_to_polar(signal)
signal_new = polar_to_cartesian(amplitude, phase)
# Drop some digits to avoid rounding errors
signal_real = np.around(signal.real, 11)
signal_imag = np.around(signal.imag, 11)
signal_real_2 = np.around(np.real(signal_new), 11)
signal_imag_2 = np.around(np.imag(signal_new), 11)
self.assertSequenceEqual(signal_real.tolist(), signal_real_2.tolist(),
msg="In TestIQ test_4, real part is not correct")
self.assertSequenceEqual(signal_imag.tolist(), signal_imag_2.tolist(),
msg="In TestIQ test_4, imaginary part is not correct")
def test_3(self):
# Define signal in range (-pi, pi)
phase = np.pi * (
np.fmod(2 * np.arange(self.n) * self.f_rf * self.T_s, 2) - 1)
amplitude = np.ones(self.n)
# Forwards and backwards transform
signal = polar_to_cartesian(amplitude, phase)
amplitude_new, phase_new = cartesian_to_polar(signal)
# Drop some digits to avoid rounding errors
phase = np.around(phase, 11)
amplitude = np.around(amplitude, 11)
amplitude_new = np.around(amplitude_new, 11)
phase_new = np.around(phase_new, 11)
self.assertSequenceEqual(phase.tolist(),
phase_new.tolist(),
msg="In TestIQ test_3, phase is not correct")
self.assertSequenceEqual(
amplitude.tolist(),
amplitude_new.tolist(),
msg="In TestIQ test_3, amplitude is not correct")
def test_2(self):
# Define signal in range (-pi, pi)
phase = np.pi * (
np.fmod(2 * np.arange(self.n) * self.f_rf * self.T_s, 2) - 1)
amplitude = np.ones(self.n)
# From polar to IQ
signal = polar_to_cartesian(amplitude, phase)
# Drop some digits to avoid rounding errors
signal_real = np.around(signal.real, 12)
signal_imag = np.around(signal.imag, 12)
theor_real = np.around(np.cos(phase), 12) # what it should be
theor_imag = np.around(np.sin(phase), 12) # what it should be
self.assertSequenceEqual(
signal_real.tolist(),
theor_real.tolist(),
msg="In TestIQ test_2, real part is not correct")
self.assertSequenceEqual(
signal_imag.tolist(),
theor_imag.tolist(),
msg="In TestIQ test_2, imaginary part is not correct")
def test_4(self):
# Define signal in range (-pi, pi)
phase = np.pi * (
np.fmod(2 * np.arange(self.n) * self.f_rf * self.T_s, 2) - 1)
signal = np.cos(phase) + 1j * np.sin(phase)
# Forwards and backwards transform
amplitude, phase = cartesian_to_polar(signal)
signal_new = polar_to_cartesian(amplitude, phase)
# Drop some digits to avoid rounding errors
signal_real = np.around(signal.real, 11)
signal_imag = np.around(signal.imag, 11)
signal_real_2 = np.around(np.real(signal_new), 11)
signal_imag_2 = np.around(np.imag(signal_new), 11)
self.assertSequenceEqual(
signal_real.tolist(),
signal_real_2.tolist(),
msg="In TestIQ test_4, real part is not correct")
self.assertSequenceEqual(
signal_imag.tolist(),
signal_imag_2.tolist(),
msg="In TestIQ test_4, imaginary part is not correct")