HW_solution5

HW_solution5 - 1) a) Suppose the number of sharing stations...

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1) a) Suppose the number of sharing stations is N, the probability that a station has a packet to transmit in one packet time is p. A transmission is successful only when there is one station transmits at the current slot and no more station will transmit in the next slot. Therefore, the successful transmission probability is: 2( 1) 98 (1 ) 50*0.98 *0.02 0.138 N N p p - - = = If there is some packet to be transmitted, the successful transmission probability is the conditional probability that no other packets arrives when one packet has to be sent out, thus the successful transmission probability is: 2( 1) 98 (1 ) 0.98 0.138 N p - - = = b) Suppose the link capacity is C, the packet length is L, when there is no collision, system capacity in terms of packet is: 2 2000 / sec 1000 packet Mbps C C packets L bits = = = Hence, in one minuet, successfully transmitted packet is: * *60sec 2000*0.138*60 16560 packet C p packets = = 2) a) We can represent the message as: 9 8 7 5 3 2 x x x x x x + + + + + and
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HW_solution5 - 1) a) Suppose the number of sharing stations...

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