<s>
In	O
information	O
theory	O
and	O
communication	O
,	O
the	O
Slepian	B-Error_Name
–	I-Error_Name
Wolf	I-Error_Name
coding	I-Error_Name
,	O
also	O
known	O
as	O
the	O
Slepian	B-Error_Name
–	I-Error_Name
Wolf	I-Error_Name
bound	I-Error_Name
,	O
is	O
a	O
result	O
in	O
distributed	O
source	B-General_Concept
coding	I-General_Concept
discovered	O
by	O
David	O
Slepian	O
and	O
Jack	O
Wolf	O
in	O
1973	O
.	O
</s>
<s>
It	O
is	O
a	O
method	O
of	O
theoretically	O
coding	B-Protocol
two	O
lossless	B-Algorithm
compressed	I-Algorithm
correlated	O
sources	O
.	O
</s>
<s>
Distributed	O
coding	B-Protocol
is	O
the	O
coding	B-Protocol
of	O
two	O
,	O
in	O
this	O
case	O
,	O
or	O
more	O
dependent	O
sources	O
with	O
separate	O
encoders	O
and	O
a	O
joint	O
decoder	B-General_Concept
.	O
</s>
<s>
Given	O
two	O
statistically	O
dependent	O
independent	O
and	O
identically	O
distributed	O
finite-alphabet	O
random	O
sequences	O
and	O
,	O
the	O
Slepian	O
–	O
Wolf	O
theorem	O
gives	O
a	O
theoretical	O
bound	O
for	O
the	O
lossless	B-Algorithm
coding	B-Protocol
rate	O
for	O
distributed	O
coding	B-Protocol
of	O
the	O
two	O
sources	O
.	O
</s>
<s>
The	O
bound	O
for	O
the	O
lossless	B-Algorithm
coding	B-Protocol
rates	O
as	O
shown	O
below	O
:	O
</s>
<s>
If	O
both	O
the	O
encoder	O
and	O
the	O
decoder	B-General_Concept
of	O
the	O
two	O
sources	O
are	O
independent	O
,	O
the	O
lowest	O
rate	O
it	O
can	O
achieve	O
for	O
lossless	B-Algorithm
compression	I-Algorithm
is	O
and	O
for	O
and	O
respectively	O
,	O
where	O
and	O
are	O
the	O
entropies	B-Algorithm
of	O
and	O
.	O
</s>
<s>
As	O
long	O
as	O
the	O
total	O
rate	O
of	O
and	O
is	O
larger	O
than	O
their	O
joint	O
entropy	B-Algorithm
and	O
none	O
of	O
the	O
sources	O
is	O
encoded	O
with	O
a	O
rate	O
smaller	O
than	O
its	O
entropy	B-Algorithm
,	O
distributed	O
coding	B-Protocol
can	O
achieve	O
arbitrarily	O
small	O
error	O
probability	O
for	O
long	O
sequences	O
.	O
</s>
<s>
A	O
special	O
case	O
of	O
distributed	O
coding	B-Protocol
is	O
compression	O
with	O
decoder	B-General_Concept
side	O
information	O
,	O
where	O
source	O
is	O
available	O
at	O
the	O
decoder	B-General_Concept
side	O
but	O
not	O
accessible	O
at	O
the	O
encoder	O
side	O
.	O
</s>
<s>
This	O
bound	O
has	O
been	O
extended	O
to	O
the	O
case	O
of	O
more	O
than	O
two	O
correlated	O
sources	O
by	O
Thomas	O
M	O
.	O
Cover	O
in	O
1975	O
,	O
and	O
similar	O
results	O
were	O
obtained	O
in	O
1976	O
by	O
Aaron	O
D	O
.	O
Wyner	O
and	O
Jacob	O
Ziv	O
with	O
regard	O
to	O
lossy	O
coding	B-Protocol
of	O
joint	O
Gaussian	O
sources	O
.	O
</s>
