This is machine translation

Translated by Microsoft
Mouse over text to see original. Click the button below to return to the English verison of the page.

라이선스가 부여된 사용자만 번역 문서를 볼 수 있습니다. 번역 문서를 보려면 로그인하십시오.


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*I

where [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.


collapse all

Compute the 4-by-4 Hadamard matrix.

H = hadamard(4)
H =

     1     1     1     1
     1    -1     1    -1
     1     1    -1    -1
     1    -1    -1     1


[1] Ryser, H. J., Combinatorial Mathematics, John Wiley and Sons, 1963.

[2] Pratt, W. K., Digital Signal Processing, John Wiley and Sons, 1978.

See Also

| |

Introduced before R2006a

Was this topic helpful?