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The SC2 performance is given as
(5.110)
Pb 
M(M  1)
2 c1
2 c1 
1 21  a

a
2(1  a)21  a d  aM2
k1 QM  2
k R# (  1)k # V(k)s
Pb 
M
2 aM1
k0 QM  1
k R# (1)k # 1
1  k
# c1 
1 21  a(1  k) d
a  1/g
Pb 
1
2
# c1  maM1
k0 Q2k
k R# a1  m2
4 bk d
PERFORMANCE IMPROVEMENT TECHNIQUES 271
BPSK Performance Comparison of MRC and SC
1.E??“01
1.E??“02
1.E??“03
1.E??“04
1.E??“05
1.E??“06
0 10 20 30 40 50
Eb/No per Antenna
BER
BPSK MRC (M = 2)
BPSK MRC (M = 1)
BPSK MRC (M = 4)
BPSK SC (M = 2)
BPSK SC (M = 4)
FIGURE 5.59 BPSK BER performance comparison of MRC and SC combining.
where
(5.111)
The SC3 performance is given as
(5.112)
where G(k) is defined as
(5.113)
The derivations are provided in [58] and are omitted here. A block diagram showing this technique is
shown in Fig. 5.60.
G(k) 
k  3
k2 (1  m) 
m
2k
(1  m2) 
9
k2(3  k)
# ???1 
1 ?…1  aa1 
k
3b?µ
Pb 
M(M  1)(M  2)
4
# c1
3 c1  ma2
k0 Q2k
k R# a1  m2
4 bk d  aM3
k1 QM  3
k R# (1)k # G(k)s
V(k) 
1
2  k

1
k # 21  a

2
k # (k  2) # ?…1 
a # (2  k)
2
272 CHAPTER FIVE
Receiver
1
Receiver
Receiver
2
M
...
Choose
Best
M ??“ 1
Antennas
Baseband
Demodulator
.


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