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hadamard
Hadamard matrix
H = hadamard(n)
H = hadamard(n)
returns the Hadamard matrix of order n.
Hadamard matrices are matrices of 1's and -1's whose columns are orthogonal,
H'*H = n*Iwhere
[n n] = size(H) and I = eye(n,n).
They have applications in several different areas, including combinatorics, signal processing, and numerical analysis, [1], [2].
An n-by-n Hadamard matrix with n > 2 exists only if rem(n,4) = 0. This function handles only the cases where n, n/12, or n/20 is a power of 2.
The command hadamard(4) produces the 4-by-4 matrix:
1 1 1 1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 1
compan Companion matrix
hankel Hankel matrix
toeplitz Toeplitz matrix