In a sensor network, the energy consumed by different functions by a sensor is as follows:

Assume the total number of nodes as P, the number of cluster heads to be m, the number of sensor nodes which send their data to different cluster heads as n, and the frame size to be B bits.
(a) Find the power consumption, during a frame time period if sensing and communication is done during every frame, assuming the other half of the nodes are sleeping at that time.
(b) Find the power consumption in the idle frame when sensing and communication to the CH is done in every alternate frame. Remember that power
is consumed even in the sleeping mode of the cycles, when sensing is not carried out.
(c) Find the total power consumption in different frames if sensing is done every other cycle, while transmission to CH is done every fourth frame.
(d) Repeat part (b) if there are 10 clusters, with each cluster consisting of 8 sensor nodes and aggregation done by CH every 8 frames while CH to base station communication takes place every 16 frames.

Mode Energy Consumed (in nJ/bit) Sleeping mode Sensing or idle mode Aggregation Communication to cluster head 0.5 5 100 Cluster head to BS 1000