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Fig. 1.
Hierarchical prediction structure for SVC for a GOP size of 8
value for video encoding, and the physical layer parameters, RCPC coding rate
and the symbol constellation choice for the STBC block code. The optimization
is considered on a GOP-by-GOP basis and is constrained by the total available
bandwidth (symbol rate)
B
budget
. We assume that the SVC codec produces
L
layers
μ
1
,μ
2
,...,μ
L
via a combination of temporal and FGS scalability. Then,
the bandwidth allocation problem can be described as:
{
QP
∗
,
R
c
,
M
∗
}
= gmin
{
QP
,
R
c
,
M
}
E
{
D
s
+
c
}
s.t. B
s
+
c
≤
B
budget
(4)
where
B
s
+
c
is the transmitted symbol rate,
B
budget
is the total available symbol
rate and
E
is the total expected end-to-end distortion due to source
and channel coding, which needs to be estimated as discussed in Section 5.
QP
,
R
c
and
M
are the admissible set of values for QP, RCPC coding rates
and symbol constellations, respectively. For all the layers of each GOP,
QP
∗
=
{
{
D
s
+
c
}
,
R
c
=
and
M
∗
=
define
the QP values, the RCPC coding rates and the symbol constellations for each
scalable layer, respectively, obtained after optimization. The transmitted symbol
rate
B
s
+
c
can be obtained as
QP
μ
1
,...,QP
μ
L
}
{
R
c,μ
1
,...,R
c,μ
L
}
{
M
μ
1
,...,M
μ
L
}
L
R
s,μ
l
R
c,μ
l
×
B
s
+
c
=
(5)
log
2
(
M
μ
l
)
l
=1
where
R
s,μ
l
is the source coding rate for layer
μ
l
in bits/s and depends on the
quantization parameter value used for that layer;
R
c,μ
l
is the channel coding
rate for layer
μ
l
and is dimensionless;
M
μ
l
is the constellation used by layer
μ
l
and log
2
(
M
μ
l
) is the number of bits per symbol.
The problem of Eq. (4) is a constrained optimization problem and is solved
using the Lagrangian method.
5 Decoder Distortion Estimation
In order to perform the optimization of Eq. (4), it is necessary to estimate the
expected video distortion at the receiver
E
.Inthispaper,weusethe
distortion estimation technique of [11] and we also propose a new technique.
{
D
s
+
c
}
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