def test_synthesizeNTF_5(self):
"""Test function for synthesizeNTF() 5/15"""
z, p, k = synthesizeNTF(opt=2)
zref = [1.0000 + 0.0000j, 0.9993 + 0.0380j, 0.9993 - 0.0380j]
pref = [0.7652 - 0.2795j, 0.7652 + 0.2795j, 0.6692 + 0.0000j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_3(self):
"""Test function for synthesizeNTF() 3/15"""
# repeat with zeros optimization
z, p, k = synthesizeNTF(opt=1)
zref = [1.0000 + 0.0000j, 0.9993 + 0.0380j, 0.9993 - 0.0380j]
pref = [0.7652 - 0.2795j, 0.7652 + 0.2795j, 0.6692 + 0.0000j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_6(self):
"""Test function for synthesizeNTF() 6/15"""
z, p, k = synthesizeNTF(order=4, osr=32, opt=2, H_inf=1.3, f0=.33)
zref = [-0.4818 + 0.8763j, -0.4818 - 0.8763j, -0.4818 + 0.8763j,
-0.4818 - 0.8763j]
pref = [-0.5125 - 0.7018j, -0.5125 + 0.7018j, -0.3233 - 0.8240j,
-0.3233 + 0.8240j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_4(self):
"""Test function for synthesizeNTF() 4/15"""
z, p, k = synthesizeNTF(order=4, osr=32, opt=1, H_inf=1.3, f0=.33)
zref = [-0.4567 + 0.8896j, -0.4567 - 0.8896j, -0.5064 + 0.8623j,
-0.5064 - 0.8623j]
pref = [-0.5125 - 0.7014j, -0.5125 + 0.7014j, -0.3230 - 0.8239j,
-0.3230 + 0.8239j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-4))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_1(self):
"""Test function for synthesizeNTF() 1/15"""
# synthesizeNTF should have as default values:
# order=3, osr=64, opt=0, H_inf=1.5, f0=0.0
z, p, k = synthesizeNTF()
zref = [1., 1., 1.]
pref = [.6694, .7654 + .2793j, .7654 - .2793j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-4))
self.assertTrue( np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-4))
self.assertTrue( np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_10(self):
"""Test function for synthesizeNTF() 10/15"""
# Up next: odd order lowpass w zero at center band test
z, p, k = synthesizeNTF(order=5, osr=32, opt=4, H_inf=1.3, f0=0.0)
zref = [1.0000 + 0.0000j, 0.9986 + 0.0531j, 0.9986 - 0.0531j,
0.9960 + 0.0892j, 0.9960 - 0.0892j]
pref = [0.8718 - 0.0840j, 0.8718 + 0.0840j, 0.9390 - 0.1475j,
0.9390 + 0.1475j, 0.8491 + 0.0000j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-3))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-3))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
def test_synthesizeNTF_11(self):
"""Test function for synthesizeNTF() 11/15"""
# zeros passed explicitly
opt = [1.0000 + 0.0000j, 0.9986 + 0.06j, 0.9986 - 0.06j,
0.9960 + 0.0892j, 0.9960 - 0.0892j]
z, p, k = synthesizeNTF(order=5, osr=32, opt=opt, H_inf=1.3, f0=0.0)
zref = [1.0000 + 0.0000j, 0.9986 + 0.06j, 0.9986 - 0.06j,
0.9960 + 0.0892j, 0.9960 - 0.0892j]
pref = [0.8718 - 0.0840j, 0.8718 + 0.0840j, 0.9390 - 0.1475j,
0.9390 + 0.1475j, 0.8491 + 0.0000j]
kref = 1.
self.assertTrue(np.allclose(cpx(z), cpx(zref), atol=1e-4, rtol=1e-3))
self.assertTrue(np.allclose(cpx(p), cpx(pref), atol=1e-4, rtol=1e-3))
self.assertTrue(np.allclose(k, kref, atol=1e-4, rtol=1e-4))
