<s>
In	O
mathematics	O
,	O
signal	O
processing	O
and	O
control	O
theory	O
,	O
a	O
pole	B-Algorithm
–	I-Algorithm
zero	I-Algorithm
plot	I-Algorithm
is	O
a	O
graphical	O
representation	O
of	O
a	O
rational	O
transfer	O
function	O
in	O
the	O
complex	O
plane	O
which	O
helps	O
to	O
convey	O
certain	O
properties	O
of	O
the	O
system	O
such	O
as	O
:	O
</s>
<s>
A	O
pole-zero	B-Algorithm
plot	I-Algorithm
shows	O
the	O
location	O
in	O
the	O
complex	O
plane	O
of	O
the	O
poles	O
and	O
zeros	O
of	O
the	O
transfer	O
function	O
of	O
a	O
dynamic	O
system	O
,	O
such	O
as	O
a	O
controller	O
,	O
compensator	O
,	O
sensor	O
,	O
equalizer	O
,	O
filter	O
,	O
or	O
communications	O
channel	O
.	O
</s>
<s>
A	O
pole-zero	B-Algorithm
plot	I-Algorithm
can	O
represent	O
either	O
a	O
continuous-time	O
(	O
CT	O
)	O
or	O
a	O
discrete-time	O
(	O
DT	O
)	O
system	O
.	O
</s>
<s>
For	O
a	O
DT	O
system	O
,	O
the	O
plane	O
is	O
the	O
z	O
plane	O
,	O
where	O
z	O
represents	O
the	O
domain	O
of	O
the	O
Z-transform	B-Algorithm
.	O
</s>
<s>
The	O
pole-zero	B-Algorithm
plot	I-Algorithm
would	O
be	O
:	O
</s>
<s>
If	O
and	O
are	O
completely	O
factored	O
,	O
their	O
solution	O
can	O
be	O
easily	O
plotted	O
in	O
the	O
z-plane	B-Algorithm
.	O
</s>
<s>
The	O
pole	B-Algorithm
–	I-Algorithm
zero	I-Algorithm
plot	I-Algorithm
would	O
be	O
:	O
</s>
