20105ee132B_1_hw3sol

20105ee132B_1_hw3sol - UCLA Electrical Engineering...

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UCLA Electrical Engineering Department EE132B HW Set Solution #3 Professor Izhak Rubin Solution to Problem 1           1 (1) If no collision occurs, it takes seconds to transmit a message. (2) The channel is idle when all the stations are idle. Thus, we have: min , 1,2,. .. min , 1,2,. .. i i N i i MR T T i N P T t P T i N t P T t       1 1 1 1 exp 1 exp (3) No collision occurs if all stations except station i are idle during the message transmission time. Note that the message tr i N i i N t i N i i N i i P T t e t P T t t                  {1,. .., }\{ } {1,. .., }\{ } {1,. .., }\{ } ansmission time is sec. Thus, no collision all the other stations are idle for more than sec. / / exp / j j N i j j N i j j N i P P M R P T M R P T M R
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Solution to Problem 2           13 13 1 2 13 1 2 1 2 2 2 0 1 2 2 (1) Let
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20105ee132B_1_hw3sol - UCLA Electrical Engineering...

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