consumption and less collisions. We reach this conclusion by looking at the two possible solutions of and For we expect high and . However, high throughput also means more frequent transmission rate of a WSN, i.e. larger and . This would cause an increase of collision chance, as we can see from and . Higher collision rate would decrease the number of successful transmissions and make the throughput lower than expected (). On the other hand, and imply that for large L the energy consumption will decrease, reaffirming by this the latter conclusion that an access period with many slots appears beneficial. In order to compare slotted and beacon mode with the new hybrid model (to be described later on) we could use another designation average power consumption, – defined as energy divided by transmission time, per packet. We assume that energy is only consumed when transmitting and receiving packets in both modes, while no power is consumed during idle (sleep) periods (). We make another assumption at this point, and that is the fact that for both modes energy is only consumed by a during transmission (TX) and receiving (RX) periods, while none is consumed during the idle (OFF) period (). Energy is defined as power per time unit. In our case, identifies the time required for the physical channel to send a single packet. Accordingly, , and can be expressed as , and , respectively. We can now infer the average power consumption of a for slotted , while doing the above substitutions: For beacon mode the average power consumption of a single is: We shall now introduce the Hybrid mode. It is called Hybrid as it adopts both modes: beacon mode, in order to deal with the , and slotted channel detection to ’s handle . In beacon mode all the nodes are assigned non-overlapping sub contention periods, as it illustrated in , eliminating the collision from the intra network. Apart from the sub contention periods assignment, in the Hybrid mode also performs the channel detection, within its own sub contention period. This deals with the . The computations allowed Cheng and Huang to receive the measurement results below. The graphs in below are based on the expressions we previously received for and to show the average power consumption of a single for the three modes in configurations, while the number of different and number of in each. The histogram in uses the tradeoff inequalities we received for and to view the maximal number of supported for beacon, slotted and Hybrid modes.
consumption and less collisions. We reach this conclusion by looking at the two possible solutions of and For we expect high and . However, high throughput also means more frequent transmission rate of a WSN, i.e. larger and . This would cause an increase of collision chance, as we can see from and . Higher collision rate would decrease the number of successful transmissions and make the throughput lower than expected (). On the other hand, and imply that for large L the energy consumption will decrease, reaffirming by this the latter conclusion that an access period with many slots appears beneficial. In order to compare slotted and beacon mode with the new hybrid model (to be described later on) we could use another designation – average power consumption, defined as energy divided by transmission time, per packet. We assume that energy is only consumed when transmitting and receiving packets in both modes, while no power is consumed during idle (sleep) periods (). We make another assumption at this point, and that is the fact that for both modes energy is only consumed by a during transmission (TX) and receiving (RX) periods, while none is consumed during the idle (OFF) period (). Energy is defined as power per time unit. In our case, identifies the time required for the physical channel to send a single packet. Accordingly, , and can be expressed as , and , respectively. We can now infer the average power consumption of a for slotted , while doing the above substitutions: For beacon mode the average power consumption of a single is: We shall now introduce the Hybrid mode. It is called Hybrid as it adopts both modes: beacon mode, in order to deal with the , and slotted ’s channel detection to handle . In beacon mode all the nodes are assigned non-overlapping sub contention periods, as it illustrated in , eliminating the collision from the intra network. Apart from the sub contention periods assignment, in the Hybrid mode also performs the channel detection, within its own sub contention period. This deals with the . The computations allowed Cheng and Huang to receive the measurement results below. The graphs in below are based on the expressions we previously received for and to show the average power consumption of a single for the three modes in configurations, while the number of different and number of in each. The histogram in uses the tradeoff inequalities we received for and to view the maximal number of supported for beacon, slotted and Hybrid modes.