<s>
In	O
mathematics	O
,	O
a	O
Walsh	B-Algorithm
matrix	I-Algorithm
is	O
a	O
specific	O
square	O
matrix	O
of	O
dimensions	O
2	O
,	O
where	O
n	O
is	O
some	O
particular	O
natural	O
number	O
.	O
</s>
<s>
The	O
Walsh	B-Algorithm
matrix	I-Algorithm
was	O
proposed	O
by	O
Joseph	O
L	O
.	O
Walsh	O
in	O
1923	O
.	O
</s>
<s>
Each	O
row	O
of	O
a	O
Walsh	B-Algorithm
matrix	I-Algorithm
corresponds	O
to	O
a	O
Walsh	O
function	O
.	O
</s>
<s>
Confusingly	O
,	O
different	O
sources	O
refer	O
to	O
either	O
matrix	O
as	O
the	O
Walsh	B-Algorithm
matrix	I-Algorithm
.	O
</s>
<s>
The	O
Walsh	B-Algorithm
matrix	I-Algorithm
(	O
and	O
Walsh	O
functions	O
)	O
are	O
used	O
in	O
computing	O
the	O
Walsh	B-Algorithm
transform	I-Algorithm
and	O
have	O
applications	O
in	O
the	O
efficient	O
implementation	O
of	O
certain	O
signal	O
processing	O
operations	O
.	O
</s>
<s>
The	O
sequency	O
ordering	O
of	O
the	O
rows	O
of	O
the	O
Walsh	B-Algorithm
matrix	I-Algorithm
can	O
be	O
derived	O
from	O
the	O
ordering	O
of	O
the	O
Hadamard	O
matrix	O
by	O
first	O
applying	O
the	O
bit-reversal	B-Algorithm
permutation	I-Algorithm
and	O
then	O
the	O
Gray-code	B-Device
permutation	B-Algorithm
:	O
</s>
