Delay minimization by optimizing antenna allocation in SIMO system

In this paper, we investigate the minimization problem of average delay of multi-antenna AP based SIMO (single-input and multiple-output) system by optimizing the antenna allocation. We first obtain the upper bound of transmission bandwidth by deriving the expected error probability of coherent detection for SIMO under Rayleigh fading, and then develop the expression of average delay of terminals sharing the same channel via contention by applying CTMC (continuous-time Markov chains). Upon the above results, we formulate the optimization of antenna allocation as a non-linear integer programming problem and present a polynomial time algorithm based on integer partition and minimum matching to support optimized allocation. We prove the correctness of our theoretical derived results by extensive simulations. The performance comparison results show that the proposed antenna allocation algorithm outperforms other heuristic based algorithms under different traffic models.