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Walsh transform is nothing but sequency ordered Hadamard transform matrix. Justify.

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Walsh transform is nothing but sequency ordered Hadamard transform matrix. Justify.

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written 8.0 years ago by |

The above statement is false.

The sequencyHadamard transform matrix for N=4 is given by,

$H = \frac{1}{\sqrt{4}} \begin{bmatrix} \ 1 & 1 & 1 & 1 \\ \ 1 & 1 & -1 & -1 \\ \ 1 & -1 & -1 & 1 \\ \ 1 & -1 & 1 & -1 \\ \end{bmatrix}$

The 2D matrix representation of Walsh transform can be given as,

$W = \frac{1}{\sqrt{4}} \begin{bmatrix} \ 1 & 1 & 1 & 1 \\ \ 1 & 1 & -1 & 1 \\ \ 1 & -1 & 1 & -1 \\ \ 1 & 1 & -1 & 1 \\ \end{bmatrix}$

**NOTE:** Walsh Transform is removed in the revised syllabus but since the question is related to Hadamard Transform it may be asked.

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