Solution Final Exam ECEN 602 Fall 2017.pdf - ECEN 602 Fall...

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ECEN 602 Fall 2017: Final Exam Dec. 11, 2017 NAME JoloTiotV UIN Final Exam ECEN 602 December 11,2017 1. (30%) In this problem we will examine a simplified model for Wi-Fi contention where the contention window is always a fixed value, which is in contrast to the actual binary exponential backoff used in 802.11 [1]. Consider a fixed number of Wi-Fi stations, n, where each station always has something to transmit. Assume a fixed contention window of W slots, and an integer backoff value b(t) that is initially chosen randomly in the range (0,W - 1). The backoff value b(t) is decremented by one in each succeeding time slot. The stochastic process b(t) can be modeled by the discrete time Markov chain shown in the state transition diagram below.

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