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Chinh T. Vu , Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless sensor networks

Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

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Page 1: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Chinh T. Vu , Yingshu Li

Computer Science Department Georgia State University

IEEE percom 2009

Delaunay-triangulation based complete coverage inwireless sensor networks

Page 2: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

OutlineIntroduction Protocol Simulation Conclusion

Page 3: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Introduction The coverage problems for sensor networks can be categorized into three broad

types Barrier Coverage Target Coverage Area Coverage

AA

Page 4: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Introduction The coverage problems for sensor networks can be categorized into three broad

types Barrier Coverage Target Coverage Area Coverage AA

Target point

Page 5: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Introduction The coverage problems for sensor networks can be categorized into three broad

types Barrier Coverage Target Coverage Area Coverage

AA

Page 6: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Introduction Equilateral triangulation with each edge as has the minimal redundant coverage3 sR

AA

Page 7: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Introduction Random sensor deployment and variable sensing radii

AA

Page 8: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Motivation Overlap Uncovered hole

A B

E

D

C

maxr

A B

E

D

C

maxr

Page 9: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Goal The monitored area can be completely covered.Minimize the energy consumption and extend the lifetime of

networks.

Page 10: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

IDT AlgorithmStep 1. Build the local Delaunay triangulationStep 2. Determine weighted centroid of Delaunay

triangulationStep 3. Sensors at border increase sensing ranges

Page 11: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1. Delaunay Triangulation (DT)

Empty Circle Property Nearest

P1

P2

P4P3

P1

P2

P4P3

Page 12: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1. Delaunay Triangulation (DT)

Empty Circle Property Nearest

A B

ED

C

A B

E

D

C

maxr

Page 13: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

P1

P4

P8P5

P2

P3

P7

P6

P9

Page 14: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

P1

P4

P8P5

P2

P3

P7

P6

P9

Delaunay triangulation

Page 15: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

P1

P4

P8P5

P2

P3

P7

P6

P9

Page 16: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2. E(s) : sensor s’s current residual energy

Sx : x coordinate

Sy : y coordinate

(1.5 , 1.6)

(2 , 1)(1 , 1)

0.5 1.5 0.5 1 0.5 21.5

0.5 0.5 0.5xm

0.5 1.6 0.5 1 0.5 11.2

0.5 0.5 0.5ym

A

B C

ID E(s)

A 0.5

B 0.5

C 0.5

Page 17: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2. E(s) : sensor s’s current residual energy

Sx : x coordinate

Sy : y coordinate

(1.5 , 1.6)

(2 , 1)(1 , 1)

0.5 1.5 0.5 1 1 21.625

0.5 0.5 1xm

0.5 1.6 0.5 1 1 11.15

0.5 0.5 1ym

A

B C

ID E(s)

A 0.5

B 0.5

C 1

Page 18: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2. E(s) : sensor s’s current residual energy

Sx : x coordinate

Sy : y coordinate

(1.5 , 1.6)

(2 , 1)(1 , 1)

0.5 1.5 0.5 1 0 21.25

0.5 0.5 0xm

0.5 1.6 0.5 1 0 11.3

0.5 0.5 0ym

A

B C

ID E(s)

A 0.5

B 0.5

C 0

Page 19: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Problem

A

B

C

boundary

Page 20: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

A

B

C

D

E

G

F

Page 21: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

A

B

C

D

E

G

F

Page 22: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 1.

A

B

C

D

E

G

F

Page 23: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2.

A

B

C

D

E

G

F

Page 24: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2.

A

B

C

D

E

G

F

Page 25: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 2.

A

B

C

D

E

G

F

Page 26: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 3.

A

B

C

D

E

G

F

Page 27: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Step 3. Define priority of a node as <Es, ID >

A

B

C

D

E

G

F E has the highest priority & NOT completely perimeter- covered

G has the highest priority & NOT completely perimeter- covered

Page 28: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Simulation

Parameter Value

Network size 800m X 400m

Number of sensors 100 ~ 500

Energy range 100 ~ 120 mJoules

Maximum sensing range 100m

Page 29: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Simulation

Page 30: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Simulation

Page 31: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Simulation

Page 32: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Conclusion They deal with the area coverage problem with variable sensing

radii variable sensing radii in WSN Using variable sensing radii variable sensing radii in WSN by improving the

energy balancing The monitored area can be completely covered

Page 33: Chinh T. Vu, Yingshu Li Computer Science Department Georgia State University IEEE percom 2009 Delaunay-triangulation based complete coverage in wireless

Thank you~