Novel adaptive time delay estimation method based on the fractional lower order cyclic correlation in impulsive noise environment
α-stable distribution was taken as the noise model.Considering the effect of α-stable distributed noises for the classical second order cyclic statistics,a novel fractional lower order cyclic statistic which was the generalization of the second order one.Based on the proposed concept,a novel adaptive time delay estimation method was developed.Simula-tions show that the proposed algorithm gets accurate estimation for both time-varying and time invariant time delays un-der Gaussian and impulsive noises conditions.Simulations also demonstrate that the performance of the proposed algo-rithm is superior to both LMP(least mean p-norm) and adaptive time delay estimation methods inα-stable distributed noises.
In this paper, we consider a network of N identical IEEE 802.11 DCF (Distributed Coordination Function) terminals with RTS/CTS mechanism, each of which is assumed to be saturated. For performance analysis, we propose a simple and efficient mathematical model to derive the statistical characteristics of the network such as the inter-transmission time of packets in the network and the service time (the inter-transmission time of successful packet transmissions) of the network. Numerical results and simulations are provided to validate the accuracy of our model and to study the performance of the IEEE 802.11 DCF network.