spyrit.misc.walsh_hadamard.walsh_G

spyrit.misc.walsh_hadamard.walsh_G(x, G=None)

Return the Walsh G-transform of the signal x

Args:

x (np.ndarray): signals of shape (*,n), where n+1 must be a power of two.

Returns:

np.ndarray: G-transformed signal of shape (*,n).

Examples:

Example 1: Walsh-ordered G-transform of a signal of length 7

>>> import spyrit.misc.walsh_hadamard as wh
>>> x = np.array([1, 3, 0, -1, 7, 5, 1])
>>> s = wh.walsh_G(x)
>>> print(s)
[ -8  -2  -2 -16   8   6  -2]

Example 2: Walsh-ordered G-transform of two signals of length 7

>>> import spyrit.misc.walsh_hadamard as wh
>>> x = np.array([[1, 3, 0, -1, 7, 5, 1],[2, 1, -1, 0, 4, 5, 3]])
>>> s = wh.walsh_G(x)
>>> print(s)
[[ -8  -2  -2 -16   8   6  -2]
 [-10   6  -2 -10   2   2  -2]]