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𝒟
1500𝑚/𝑠
3 108𝑚/𝑠
𝑚
𝑅
𝑟
1
𝑁
𝑊
𝑁= 50
3−2
dtx
r , 2r
High Energy grade nodes
Sink
.
.Low Energy grade nodes or sensor nodes
.
.
.
.
.
.
....
.
.
.
.
....
.
.
.
.
.
....
dtx
2r r
R
.
RCircular radius of area
r
𝑃 𝐿 =𝑛*10 log (𝑑) + 𝑑*10 log (𝑎(𝑓))
𝑑 𝑓 𝑛
𝑛= 2 𝑛= 1
𝑛= 1.5
dtx
Move to depth
Void node
High energy node
Transmission range
Sink
r
2r
10 log10 𝑎(𝑓)=0.11 𝑓2
1 + 𝑓2+ 55 𝑓2
5100 + 𝑓2+ 3.75 *10−4𝑓2+ 0.005
10 log10 𝑎(𝑓)=0.11 𝑓2
1 + 𝑓2+ 0.11 𝑓2
1 + 𝑓2+ 0.003
𝐴(𝑑, 𝑓 ) = 𝑑𝑘*𝑎(𝑓)𝑑
𝑃
𝑆𝑁 𝑅(𝑑, 𝑓 ) = 𝑃
𝐴(𝑑, 𝑓 )*𝑁(𝑓)𝛿𝑓
𝛿𝑓
𝑁𝑡(𝑓)
𝑁𝑤(𝑓)𝑁𝑠(𝑓)𝑁𝑡ℎ(𝑓)
𝑁(𝑓) = 𝑁𝑡(𝑓) + 𝑁𝑠(𝑓) + 𝑁𝑤(𝑓) + 𝑁𝑡ℎ(𝑓)
𝑃 𝑘𝑡𝑛
𝐸𝑡𝑥(𝑑) = 𝑃𝑇(𝑑)*𝑃 𝑘 𝑡𝑛
𝛼3𝑑𝐵(𝑑)
𝑃 𝑘𝑡𝑛
𝐸𝑟𝑥(𝑑) = 𝑃𝑟 𝑥 *𝑃 𝑘𝑡𝑛
𝛼3𝑑𝐵(𝑑)
𝑃𝑇𝑃𝑟𝑥
𝛼3𝑑𝐵(𝑑)
𝐵3𝑑𝐵(𝑑)
𝑃
𝑚
3.9−3.10
3−1
1
𝑚=𝑚𝑖𝑛(𝑁*𝐸
𝐸𝑡𝑥 ,𝐸
𝐸𝑡𝑥 )
𝑁 𝐸
𝐸𝑡𝑥
𝑑𝑖𝑣 −𝐸𝑜 =𝐸𝑜
𝑚
𝑑𝑖𝑣 −𝐸𝑜 𝐸𝑜
𝑚
𝑚
3−2
𝐸𝑜
𝐸𝑜/𝑚
𝑚
𝐸𝑖𝐸1𝐸2𝐸𝑛
𝑐1𝑐2𝑐𝑛
𝐸𝑖
𝑚 𝐸𝑜
𝐸𝑜/𝑚
𝑖= 1 𝑛
𝐸𝑖𝐸𝑖+ 1
𝐸𝑖𝐸𝑖+ 1
𝐸𝑖𝐸𝑖+ 1
𝑓𝑜𝑟𝑤𝑎𝑟𝑑𝑒𝑟𝑛𝑜𝑑𝑒
2
3−2
3
𝐸𝑜
𝐸𝑜/𝑚
𝑚
𝐸𝑖𝐸1𝐸2𝐸𝑛
𝑐1𝑐2𝑐𝑛
𝐸𝑖
𝐸𝑜/𝑚
𝑖= 1 𝑛
𝐸𝑖𝐸𝑖+ 1
𝐸𝑖𝐸𝑖+ 1
𝐸𝑖𝐸𝑖+ 1
𝑓𝑜𝑟𝑤𝑎𝑟𝑑𝑒𝑟𝑛𝑜𝑑𝑒
𝐸𝑖
𝐸𝑖𝐸1𝐸2𝐸𝑛
𝜎 𝑐1𝑐2𝑐𝑛
𝐸𝑖
𝑐𝑣𝑛
𝜎
𝐷 𝑐𝑣𝑛
𝑖= 1 𝑛
𝑟
𝜎
𝑐𝑣𝑛
𝑐𝑣𝑛 𝑟
𝑐𝑣𝑛
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Etx (mJ)
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Ercv (mJ)
P2(0.002048, 0.0064)
P1(0.002048, 0.0001024)
P3(0.128, 0.0064)
P4(0.128, 0.0001024)
Etx+Ercv= 0.1344
𝑚𝑖𝑛𝑖𝑚𝑖𝑧𝑒
𝑟𝑚𝑎𝑥
𝑟=1
𝐸𝑃 𝑁
𝐸𝑃 𝑁 (𝑟) = 𝐸𝑛𝑐𝑜𝑛𝑠𝑢𝑚𝑒𝑑
𝑛*𝐸
𝐸𝑃 𝑁 𝑟𝑚𝑎𝑥
𝑟 𝐸𝑛𝑐𝑜𝑛𝑠𝑢𝑚𝑒𝑑
𝑛 𝐸
𝐸𝑛𝑐𝑜𝑛𝑠𝑢𝑚𝑒𝑑(𝑟) = 𝐸𝑇𝑥+𝐸𝑅𝑥
𝐸𝑇𝑥 𝐸𝑅𝑥
𝐸𝑇𝑥=𝑃𝑇(𝑑𝑎𝑡𝑎𝑝𝑎𝑐𝑘𝑒𝑡𝑠𝑖𝑧𝑒
𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛𝑟𝑎𝑡𝑒 )
𝐸𝑅𝑥=𝑃𝑅(𝑑𝑎𝑡𝑎𝑝𝑎𝑐𝑘𝑒𝑡𝑠𝑖𝑧𝑒
𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛𝑟𝑎𝑡𝑒 )
𝑃𝑇𝑃𝑅
𝐶1:𝐸𝑇𝑥, 𝐸𝑅𝑥6𝐸𝑜
𝐶2:𝐸𝑓6𝐸𝑚
𝑓𝑖𝑛
𝐶3:𝑇𝑟6𝑇𝑚
𝑟𝑎𝑥
𝑑𝑎𝑡𝑎𝑝𝑎𝑐𝑘𝑒𝑡𝑠𝑖𝑧𝑒 = 1024 𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛𝑟𝑎𝑡𝑒 = 16000
𝑃𝑇= 0.002048,−−−,0.128 𝑃𝑅= 0.0001024,−−−,0.0064
𝑁= 1,2− −−,50
0.002048 6𝐸𝑇𝑥60.128
0.0001024 6𝐸𝑅𝑥60.0064
0.0021504 6𝐸𝑇𝑥+𝐸𝑅𝑥60.1344
𝑃1 : (0.002048,0.0001024) = 0.00215𝐽
𝑃2 : (0.002048,0.0064) = 0.00845𝐽
𝑃3 : (0.128,0.0064) = 0.1344𝐽
𝑃4 : (0.128,0.0001024) = 0.1281024𝐽
𝐸𝑇𝑥=𝑃𝑇𝑥(𝑡)
𝑃𝑇𝑥 𝑡
𝑡=𝑙
𝑣
𝑙 𝑉
𝐸𝑅𝑥=𝑃𝑅𝑥(𝑡)
𝑃𝑅𝑥
𝑉= 1500𝑚/𝑠 𝑑𝑎𝑡𝑎𝑝𝑎𝑐𝑘𝑒𝑡𝑠𝑖𝑧𝑒 = 512
𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛𝑟𝑎𝑡𝑒 = 12000 𝑃𝑇=
0.0053,−−−,0.0213 𝑃𝑅= 0.0427,−−−,0.0853
𝑁= 1,2− −−,50
0.0023 6𝐸𝑇𝑥60.0213
0.0182 6𝐸𝑅𝑥60.0853
0.0205 6𝐸𝑇𝑥+𝐸𝑅𝑥60.1066
𝑃1 : (0.0023,0.0182) = 0.0205𝐽
𝑃2 : (0.0023,0.0853) = 0.0876𝐽
𝑃3 : (0.0213,0.0853) = 0.1066𝐽
𝑃4 : (0.0213,0.0182) = 0.0395𝐽
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
Etx (mJ)
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Ercv (mJ)
P1(0.0023, 0.0182)
P3(0.0213, 0.0853)
P4(0.0213, 0.0182)
Etx+Ercv= 0.1066
P2(0.0023, 0.0853)
𝑉= 1500𝑚/𝑠 𝑑𝑎𝑡𝑎𝑝𝑎𝑐𝑘𝑒𝑡𝑠𝑖𝑧𝑒 = 150
𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑜𝑛𝑟𝑎𝑡𝑒 = 12000 𝑃𝑇= 2.5,−−−,2.7
𝑃𝑅= 2.7,−−−,3.1𝑁= 1,2− −−,50
0123456
Etx (mJ)
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Ercv (mJ)
Etx+Ercv= 2.895
P2(2.5, 0.195)
P1(2.5, 0.193)
P3(2.7, 0.193)
P4(2.7, 0.195)
2.56𝐸𝑇𝑥62.7
0.193 6𝐸𝑅𝑥60.195
2.693 6𝐸𝑇𝑥+𝐸𝑅𝑥62.895
𝑃1 : (2.5,0.193) = 2.693𝐽
𝑃2 : (2.5,0.195) = 2.695𝐽
𝑃3 : (2.7,0.193) = 2.893𝐽
𝑃4 : (2.7,0.195) = 2.895𝐽
𝑟= 100
𝑁= 50
𝐸𝑜 = 1 𝐸𝑡𝑥 = 0.0005 𝐸𝑟𝑥 = 0.00005
100 𝐾= 10
4−1
𝐶𝑜𝑟𝑜𝑛𝑎𝑠(𝐾) = 𝑅
𝑟
𝑅 𝐾
𝑟1𝑏
𝑊
𝑜
0.005
0.015 67%
45%
12345678910
Corona Nodes
0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
0.04
0.045
0.05
Energy Consumption Per Unit of Time (W)
BLOAD corona based
EBLOAD corona based
41%
50%
12345678910
Corona Nodes
0
5
10
15
20
25
30
35
40
45
50
Packet Load Per Unit of Time (packet/s)
BLOAD corona based
EBLOAD-EG corona based
0 10 20 30 40 50 60 70 80 90 100
Time (s)
5
10
15
20
25
30
35
40
45
50
55
Number of Alive Nodes
BLOAD corona based
EGBLOAD corona based
DA without corona
EG without corona
0 10 20 30 40 50 60 70 80 90 100
Time (s)
-5
0
5
10
15
20
25
30
35
40
45
Number of Dead Nodes
BLOAD corona based
EGBLOAD corona based
DA without corona
EG without corona
0 10 20 30 40 45 50
Number of Nodes
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Packet delivery ratio
BLOAD corona based
EGBLOAD corona based
DA without corona
EG without corona
0 10 20 30 40 50 60 70 80 90 100
Field Radius(m)
-15
-10
-5
0
5
10
15
Energy consumption per unit of time(W)
BLOAD corona based
EGBLOAD corona based
DA without corona
EG without corona