基于网络微积分和马尔可夫链的无线信道模型

Network calculus is a systematic theory and mathematical analytical tool which can be used to study queuing and networking systems. Recently, network calculus has been widely applied in the analysis of performance metrics in wired packet network. In this article, by applying the theory of network calculus, three kinds of performance metrics of the wireless channel was modeled by respective network calculus component. The entire wireless channel was viewed as a concatenation of several network calculus components. Therefore, the application of network calculus has been extended to the area of wireless network. To consider the time-varying nature of wireless channel, a two-state Markov chain model was proposed. The process of the state transformation of wireless channel was presented by a Markov state sequence and a piece-wise service curve of the wireless channel in a certain time slot could be expressed. With the combination of the mathematical knowledge of network calculus and the concatenation property of service curves of network calculus components, several performance metrics of wireless channel such as output function, backlog and delay were evaluated and the probabilistic bounds with desired probabilities for these metrics were also calculated.