spyrit.misc.walsh_hadamard.walsh_S_matrix

spyrit.misc.walsh_hadamard.walsh_S_matrix(n, H=None)

Return Walsh-ordered Hadamard S-matrix of order n

Args:

n (int): Matrix order. n+1 should be a power of two. H (np.ndarray, optional): Hadamard matrix of order n+1.

Returns:

np.ndarray: S-matrix of shape (n,n)

Examples:

Walsh-ordered Hadamard S-matrix of order 7

>>> import spyrit.misc.walsh_hadamard as wh
>>> print(wh.walsh_S_matrix(7))
[[0. 0. 0. 1. 1. 1. 1.]
 [0. 1. 1. 1. 1. 0. 0.]
 [0. 1. 1. 0. 0. 1. 1.]
 [1. 1. 0. 0. 1. 1. 0.]
 [1. 1. 0. 1. 0. 0. 1.]
 [1. 0. 1. 1. 0. 1. 0.]
 [1. 0. 1. 0. 1. 0. 1.]]