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Energy Efficient Cooperative Wireless Communication and Networks
book

Energy Efficient Cooperative Wireless Communication and Networks

by Zhengguo Sheng, Chi Harold Liu
November 2014
Intermediate to advanced content levelIntermediate to advanced
221 pages
6h 17m
English
CRC Press
Content preview from Energy Efficient Cooperative Wireless Communication and Networks
162 Energy-Efficient Cooperative Wireless Communication and Networks
d
s,d
d
s,r
s,r
r,d
d
r,d
d
r
s
FIGURE 11.2 The position of a mapping relay.
From (7.6), we define f (a, b)=p
+q
.Since
∂f(a,b)
∂a
> 0 and
∂f(a,b)
∂b
> 0,
we can obtain
p
+ q
= f (a, b) >f(a
,b) >f(a
,b
)=p
∗
+ q
∗
,which
completes the proof.
2
Theorem 11.1 For path loss α =2, the best relay location that minimizes
β
for the optimal DAF cooperation is at the destination.
Proof From Result 11.1, we can find that the relay location that minimizes
β
for the optimal DAF cooperation is surely on the line sd, namely d
s,r
+
d
r,d
= d
s,d
. Bringing this result into (11.2), we can obtain the ratio for α =2:
β
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Publisher Resources

ISBN: 9781482238211