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Sensor Networks

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1)Consider the uniform wireless sensor network topology shown in the picture. Assume the network covers a much larger area than the part shown, extending endlessly for purposes of a middle-sensor such as sensor A. Hexagonal coverage is provided with sensing range r= √3 meters. The communication range is R=10 meters, for maximum transmit power P_max=1 mWatt.

figure : imgur[com]/ppzuWj1

For sensor node A,
1.1) Apply the local minimum spanning tree algorithm. Hint: First calculate the transmit power levels from A to its neighbors. Assume location information is available for nodes.
Show the local minimum spanning tree. (15 points)
1.2) Apply a variant of the local mean algorithm where the initial transmit power is the maximum transmit power, and n_min=5 , n_max=8.
How many LifeAckMsgs will be received in response to A’s first LifeMSg?
What should A do in the next step? (10 points)

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