Digital Signal Processing Reference
In-Depth Information
1. Show that this system can be drawn using filter bank notation as in
Fig. P7.6(a). The coe
cients of the filters
can be regarded
as a code for the symbols
s
(
n
) before they are transmitted.
2. Show that the system can also be redrawn in the form shown in Fig.
P7.6(b). Now the coe
cients of
{
A
k
(
z
)
}
{
F
k
(
z
)
}
are regarded as the code for
the symbols
s
(
n
)
.
Thus, a redundant transceiver system with bandwidth expansion factor
P/M
can be represented using either of these two configurations.
q
(
n
)
s
(
n
)
x
(
n
)
y
(
n
)
C
(
z
)
A
(
z
)
0
M
P
z
−1
channel
A
(
z
)
1
M
P
z
−1
s
(
n
)
B
(
z
)
0
P
M
z
−1
z
z
B
(
z
)
1
A
(
z
)
P
M
P
P
M
−
1
transmitter filters
z
B
(
z
)
P
P
M
−
1
receiver filters
Figure P7.6(a).
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