Digital Signal Processing Reference
In-Depth Information
q
(
n
)
0
H
0
s
(
n
)
0
q
(
n
)
1
H
1
s
(
n
)
1
(a)
q
(
n
)
M
H
M
−1
−
1
s
(
n
)
M
−
1
q
(
n
)
k
q
(
n
)
k
1
/H
k
H
k
s
(
n
)
k
s
(
n
)
k
s
(
n
)
k
s
(
n
)
k
(b)
q
(
n
)
0
s
(
n
)
0
s
(
n
)
0
q
(
n
)
1
s
(
n
)
1
s
(
n
)
1
(c)
q
(
n
)
M
−
1
s
(
n
)
M
s
(
n
)
M
−
1
−
1
Figure 11.6
. (a)Asetof
M
parallel independent channels, (b) the
k
th channel with
a zero-forcing equalizer, and (c) equivalent set of parallel independent channels for
capacity calculations, where
q
k
(
n
)=
q
k
(
n
)
/H
k
.
from Eq. (11.32).
C
k
is the number of bits per sample that can be transmit-
tedreliablyonthe
k
th channel if channel coding of arbitrary sophistication is
available. The capacity of the parallel set of
M
channels is
1+
σ
s
k
.
M−
1
M−
1
C
=
C
k
=0
.
5
log
(11
.
34)
2
σ
q
k
k
=0
k
=0
From Chap. 22 (Sec. 22.3) we know that the power allocation which maximizes
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