<s>
In	O
mathematics	O
and	O
signal	O
processing	O
,	O
the	O
advanced	B-Algorithm
z-transform	I-Algorithm
is	O
an	O
extension	O
of	O
the	O
z-transform	B-Algorithm
,	O
to	O
incorporate	O
ideal	O
delays	O
that	O
are	O
not	O
multiples	O
of	O
the	O
sampling	O
time	O
.	O
</s>
<s>
It	O
is	O
also	O
known	O
as	O
the	O
modified	O
z-transform	B-Algorithm
.	O
</s>
<s>
The	O
advanced	B-Algorithm
z-transform	I-Algorithm
is	O
widely	O
applied	O
,	O
for	O
example	O
to	O
accurately	O
model	O
processing	O
delays	O
in	O
digital	O
control	O
.	O
</s>
<s>
If	O
the	O
delay	O
parameter	O
,	O
m	O
,	O
is	O
considered	O
fixed	O
then	O
all	O
the	O
properties	O
of	O
the	O
z-transform	B-Algorithm
hold	O
for	O
the	O
advanced	B-Algorithm
z-transform	I-Algorithm
.	O
</s>
<s>
which	O
is	O
clearly	O
just	O
the	O
z-transform	B-Algorithm
of	O
.	O
</s>
