def test_random_odd(self):
for h in [0.1, 0.5, 1, 5.5, 10]:
for n in [33, 65, 55]:
f = random((n, ))
af = sum(f, axis=0) / n
f = f - af
assert_almost_equal(sum(f, axis=0), 0.0)
assert_array_almost_equal(itilbert(tilbert(f, h), h), f)
assert_array_almost_equal(tilbert(itilbert(f, h), h), f)
def test_random_odd(self):
for h in [0.1,0.5,1,5.5,10]:
for n in [33,65,55]:
f = random((n,))
af = sum(f,axis=0)/n
f = f-af
assert_almost_equal(sum(f,axis=0),0.0)
assert_array_almost_equal(itilbert(tilbert(f,h),h),f)
assert_array_almost_equal(tilbert(itilbert(f,h),h),f)
def test_definition(self):
for h in [0.1, 0.5, 1, 5.5, 10]:
for n in [16, 17, 64, 127]:
x = arange(n) * 2 * pi / n
y = itilbert(sin(x), h)
y1 = direct_itilbert(sin(x), h)
assert_array_almost_equal(y, y1)
assert_array_almost_equal(itilbert(sin(x), h),
direct_itilbert(sin(x), h))
assert_array_almost_equal(itilbert(sin(2 * x), h),
direct_itilbert(sin(2 * x), h))
def test_definition(self):
for h in [0.1,0.5,1,5.5,10]:
for n in [16,17,64,127]:
x = arange(n)*2*pi/n
y = itilbert(sin(x),h)
y1 = direct_itilbert(sin(x),h)
assert_array_almost_equal(y,y1)
assert_array_almost_equal(itilbert(sin(x),h),
direct_itilbert(sin(x),h))
assert_array_almost_equal(itilbert(sin(2*x),h),
direct_itilbert(sin(2*x),h))
def test_itilbert_relation(self):
for n in [16, 17, 64, 127]:
x = arange(n) * 2 * pi / n
f = sin(x) + cos(2 * x) * sin(x)
y = ihilbert(f)
y1 = direct_ihilbert(f)
assert_array_almost_equal(y, y1)
y2 = itilbert(f, h=10)
assert_array_almost_equal(y, y2)
def test_itilbert_relation(self):
for n in [16,17,64,127]:
x = arange(n)*2*pi/n
f = sin(x)+cos(2*x)*sin(x)
y = ihilbert(f)
y1 = direct_ihilbert(f)
assert_array_almost_equal(y,y1)
y2 = itilbert(f,h=10)
assert_array_almost_equal(y,y2)