IEEE Transactions on Computers
IEEE Transactions on Mobile Computing
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Ordering finite-state Markov channels by mutual information
IEEE Transactions on Information Theory
Tail asymptotic behaviour of resequencing buffer content for selective repeat ARQ
Operations Research Letters
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In a typical wireless system, communications between a transmitter-receiver pair is subject to impairments such as intracell and intercell interference, as well as multipath fading. For practical wireless data transmission systems, e.g., UMTS or GPRS, it has been demonstrated by simulation and supported by real measurements that these impairments can be adequately modeled by hidden Markov models (HMMs). It has also been demonstrated that various types of wireless data arrival process can be modeled by a batch Markov arrival process (BMAP). This paper presents analytical methods for evaluating the packet queue length and packet delay probability distributions assuming that packet arrivals are modeled by a BMAP and packets are transmitted over channels with bursts of errors which are modeled by HMMs. In contrast with simulations, the analytical approach allows a system designer to find and test proper diversity, source and channel coding schemes, and communication protocols more efficiently. Analytical and simulation results are compared to determine the accuracy of the presented methods.