def test_mapCtoD_6(self):
"""Test function for mapCtoD() 6/6"""
# wrong ni
f0 = 0.0
ABCDc = np.array([[0., 0., 1., -1.], [1., 0., 0., -1.5], [0, 1, 0, 0]])
tdac = np.array([0.1, 0.4, 0.1, 3.])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
def test_mapCtoD_6(self):
"""Test function for mapCtoD() 6/6"""
# wrong ni
f0 = 0.0
ABCDc = np.array([[0., 0., 1., -1.],
[1., 0., 0., -1.5],
[0, 1, 0, 0]])
tdac = np.array([0.1, 0.4, 0.1, 3.])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
def test_mapCtoD_5(self):
"""Test function for mapCtoD() 5/6"""
# Non-zero f0 test, short DAC pulse
f0 = .2
ABCDc = np.array([[0., 0., 1., -1.], [1., 0., 0., -1.5], [0, 1, 0, 0]])
tdac = np.array([0.1, 0.4])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
ABCD = np.vstack((np.hstack(
(sys_d[0], sys_d[1])), np.hstack((sys_d[2], sys_d[3]))))
print(ABCD)
ABCDref = np.array([[1., 0, 0.9355, -0.3000],
[1., 1., 0.4784, -0.6750], [0., 1., 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))
def test_mapCtoD_4(self):
"""Test function for mapCtoD() 4/6"""
# Non-zero f0 test
f0 = .2
ABCDc = np.array([[0., 0., 1., -1.], [1., 0., 0., -1.5],
[0., 1., 0., 0.]])
tdac = np.array([0.1, 1.1])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
ABCD = np.vstack((np.hstack(
(sys_d[0], sys_d[1])), np.hstack((sys_d[2], sys_d[3]))))
ABCDref = np.array([[1., 0., -0.1, 0.9355, -0.9],
[1., 1., -0.245, 0.4784, -1.7550],
[0., 0., 0., 0., 1.], [0., 1., 0., 0., 0]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))
def test_mapCtoD_2(self):
"""Test function for mapCtoD() 2/6"""
# zero delay NRZ test
ABCDc = np.array([[0., 0., 0., 0.04440879, -0.04440879],
[1., 0., -0.00578297, 0., -0.23997611],
[0., 1., 0., 0., -0.67004646], [0., 0., 1., 0., 0.]])
tdac = np.array([[-1., -1], [0., 1.]])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac)
ABCD = np.vstack((np.hstack(
(sys_d[0], sys_d[1])), np.hstack((sys_d[2], sys_d[3]))))
ABCDref = np.array(
[[1., 0., 0., 0.04440879, -0.04440879],
[0.99903645, 0.99710991, -0.0057774, 0.0221937, -0.26000208],
[0.49975909, 0.99903645, 0.99710991, 0.00739932, -0.79673041],
[0., 0., 1., 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-8, rtol=1e-5))
def test_mapCtoD_1(self):
"""Test function for mapCtoD() 1/6"""
# The first test comes straight from the DSToolbox doc
# We map the standard continuous time DS modulator to its DT counterpart
# and we check whether the TF is (1 - 1/z)**2
LFc = (np.array([[0., 0.], [1., 0.]]), np.array([[1., -1.], [0.,
-1.5]]),
np.array([[0., 1.]]), np.array(([[0., 0.]])))
tdac = [0, 1]
LF, Gp = ds.mapCtoD(LFc, tdac)
ABCD = np.vstack((np.hstack((LF[0], LF[1])), np.hstack(
(LF[2], LF[3]))))
H = ds.calculateTF(ABCD)
num, den = zpk2tf(*H[0])
self.assertTrue(np.allclose(num, [1., -2., 1.], atol=1e-8, rtol=1e-5))
self.assertTrue(np.allclose(den, [1., 0., 0.], atol=1e-8, rtol=1e-5))
def test_mapCtoD_4(self):
"""Test function for mapCtoD() 4/6"""
# Non-zero f0 test
f0 = .2
ABCDc = np.array([[0., 0., 1., -1.],
[1., 0., 0., -1.5],
[0., 1., 0., 0.]])
tdac = np.array([0.1, 1.1])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
ABCD = np.vstack((np.hstack((sys_d[0], sys_d[1])),
np.hstack((sys_d[2], sys_d[3]))
))
ABCDref = np.array([[1., 0., -0.1, 0.9355, -0.9],
[1., 1., -0.245, 0.4784, -1.7550],
[0., 0., 0., 0., 1.],
[0., 1., 0., 0., 0]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))
def test_mapCtoD_2(self):
"""Test function for mapCtoD() 2/6"""
# zero delay NRZ test
ABCDc = np.array([[0., 0., 0., 0.04440879, -0.04440879],
[1., 0., -0.00578297, 0., -0.23997611],
[0., 1., 0., 0., -0.67004646],
[0., 0., 1., 0., 0.]])
tdac = np.array([[-1., -1], [0., 1.]])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac)
ABCD = np.vstack((np.hstack((sys_d[0], sys_d[1])),
np.hstack((sys_d[2], sys_d[3]))
))
ABCDref = np.array([[1., 0., 0., 0.04440879, -0.04440879],
[0.99903645, 0.99710991, -0.0057774, 0.0221937, -0.26000208],
[0.49975909, 0.99903645, 0.99710991, 0.00739932, -0.79673041],
[0., 0., 1., 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-8, rtol=1e-5))
def test_mapCtoD_5(self):
"""Test function for mapCtoD() 5/6"""
# Non-zero f0 test, short DAC pulse
f0 = .2
ABCDc = np.array([[0., 0., 1., -1.],
[1., 0., 0., -1.5],
[0, 1, 0, 0]])
tdac = np.array([0.1, 0.4])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac, f0=f0)
ABCD = np.vstack((np.hstack((sys_d[0], sys_d[1])),
np.hstack((sys_d[2], sys_d[3]))
))
print(ABCD)
ABCDref = np.array([[1., 0, 0.9355, -0.3000],
[1., 1., 0.4784, -0.6750],
[0., 1., 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))
def test_mapCtoD_3(self):
"""Test function for mapCtoD() 3/6"""
# .1 delay NRZ
ABCDc = np.array([[0., 0., 0., 0.0444, -0.0444],
[1., 0., -0.0058, 0., -0.2440],
[0., 1., 0., 0., -0.6942], [0., 0., 1., 0.,
-0.0682]])
tdac = np.array([[-1., -1], [0.1, 1.1]])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac)
ABCD = np.vstack((np.hstack(
(sys_d[0], sys_d[1])), np.hstack((sys_d[2], sys_d[3]))))
ABCDref = np.array([[1., 0., 0., -0.0044, 0.0444, -0.0400],
[0.999, 0.9971, -0.0058, -0.0282, 0.0222, -0.2358],
[0.4998, 0.999, 0.9971, -0.0944, 0.0074, -0.7285],
[0., 0., 0., 0., 0., 1.],
[0., 0., 1., -0.0682, 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))
def test_mapCtoD_1(self):
"""Test function for mapCtoD() 1/6"""
# The first test comes straight from the DSToolbox doc
# We map the standard continuous time DS modulator to its DT counterpart
# and we check whether the TF is (1 - 1/z)**2
LFc = (np.array([[0., 0.], [1., 0.]]),
np.array([[1., -1.], [0., -1.5]]),
np.array([[0., 1.]]),
np.array(([[0., 0.]]))
)
tdac = [0, 1]
LF, Gp = ds.mapCtoD(LFc, tdac)
ABCD = np.vstack((np.hstack((LF[0], LF[1])),
np.hstack((LF[2], LF[3]))
))
H = ds.calculateTF(ABCD)
self.assertTrue(np.allclose(H[0].num, [ 1., -2., 1.], atol=1e-8, rtol=1e-5))
self.assertTrue(np.allclose(H[0].den, [1., 0., 0.], atol=1e-8, rtol=1e-5))
def test_mapCtoD_3(self):
"""Test function for mapCtoD() 3/6"""
# .1 delay NRZ
ABCDc = np.array([[0., 0., 0., 0.0444, -0.0444],
[1., 0., -0.0058, 0., -0.2440],
[0., 1., 0., 0., -0.6942],
[0., 0., 1., 0., -0.0682]])
tdac = np.array([[-1., -1], [0.1, 1.1]])
sys_d, Gp = ds.mapCtoD(ABCDc, tdac)
ABCD = np.vstack((np.hstack((sys_d[0], sys_d[1])),
np.hstack((sys_d[2], sys_d[3]))
))
ABCDref = np.array([[1., 0., 0., -0.0044, 0.0444, -0.0400],
[0.999, 0.9971, -0.0058, -0.0282, 0.0222, -0.2358],
[0.4998, 0.999, 0.9971, -0.0944, 0.0074, -0.7285],
[0., 0., 0., 0., 0., 1.],
[0., 0., 1., -0.0682, 0., 0.]])
self.assertTrue(np.allclose(ABCD, ABCDref, atol=1e-4, rtol=1e-4))