Digital Signal Processing Reference
In-Depth Information
1
1
C
2
2
S
T
3
3
Z
4
4
Fig. 3.1
Block diagram of the system
⎛
⎞
⎛
⎞
c
2
c
4
s
2
s
4
c
1
−
c
3
−
s
1
−
s
3
−
⎝
c
2
c
1
c
4
c
3
⎠
,
⎝
s
2
s
1
s
4
s
3
⎠
C
=
S
=
c
4
c
2
s
4
s
2
c
3
−
c
1
−
s
3
−
s
1
−
c
4
c
3
c
2
c
1
s
4
s
3
s
2
s
1
⎛
⎝
⎞
⎠
,
⎛
⎝
⎞
⎠
t
2
t
4
z
2
z
4
t
1
−
t
3
−
z
1
−
z
3
−
t
2
t
1
t
4
t
3
z
2
z
1
z
4
z
3
T
=
Z
=
(3.3)
t
4
t
2
z
4
z
2
t
3
−
t
1
−
z
3
−
z
1
−
t
4
t
3
t
2
t
1
z
4
z
3
z
2
z
1
respectively.
At time slot
l
,
l
=
1
,
2
,
3
,
4, we have the following input-output equation
E
s
(
y
l
H
1
A
l
1
c
H
2
A
l
2
s
H
3
A
l
3
t
H
4
A
l
4
z
n
l
=
(
l
)
+
(
l
)
+
(
l
)
+
(
l
))
+
E
s
(
H
l
1
c
H
l
2
s
H
l
3
t
H
l
4
z
n
l
=
(
)
+
(
)
+
(
)
+
(
))
+
l
l
l
l
(3.4)
⎛
⎝
⎞
⎠
y
1
y
2
y
3
y
4
where
H
i
H
i
A
i
and
y
l
=
=
denotes the received signals of the four receive
⎛
⎞
n
l
1
n
l
2
n
l
3
n
l
4
⎝
⎠
antennas at time slot
l
.
E
s
denotes the transmit energy of each user.
n
l
=
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