Abstract-The deterministic notions of capacity and entropy are studied in the context of communication and storage of information using square-integrable, bandlimited signals subject to perturbation. The (ǫ, δ)-capacity, that extends the Kolmogorov ǫ-capacity to packing sets of overlap at most δ, is introduced and compared to the Shannon capacity. The functional form of the results indicates that in both Kolmogorov and Shannon's settings, capacity and entropy grow linearly with the number of degrees of freedom, but only logarithmically with the signal to noise ratio. This basic insight transcends the details of the stochastic or deterministic description of the information-theoretic model. For δ = 0, the analysis leads to new bounds on the Kolmogorov ǫ-capacity, and to a tight asymptotic expression of the Kolmogorov ǫ-entropy of bandlimited signals. A deterministic notion of error exponent is introduced. Applications of the theory are briefly discussed.
In this paper, an IP-based wireless access network is proposed, which is designed to support the hierarchical MIPv6 standard on the wavelength division multiplexed passive optical network access network in order to provide a fast and seamless handoff support. Two schemes for enhancing the mobility management are included in the proposed network's infrastructure support. Firstly, the local-link channels between sub-networks are provided to improve the mobility management efficiency for the mobile nodes roaming between neighboring subnetworks. Secondly, the early route optimization scheme has been applied, which optimizes the mobility management process between the corresponding node and the home agent (HA), resulting in reduced bandwidth waste and long end-to-end packet delays, as well as lowering the heavy burden on the HA. The performance of the proposed mobility management scheme has been evaluated in terms of handoff delays, packet losses and transmission costs.The superior performance of the proposed scheme has been verified and compared to other schemes.Keywords Mobile IPv6 (MIPv6) Á Hierarchical mobile IPv6 (HMIPv6) Á Handoff Á Wavelength division multiplexing (WDM) Á Passive optical network (PON)
The problem of stabilization of a discrete-time linear dynamical system over a Markov time-varying digital feedback channel is studied. We extend previous results for mean-square stabilization to m-th moment stabilization in the general case of systems with unbounded disturbances. Since the index m gives an estimate of the quality of the stability attainable, in the sense that large stabilization errors occur more rarely as m increases, one interpretation of our results is that in order to achieve stronger stability one needs to assume stricter conditions on the disturbances and on the quality of the communication channel. On the technical side, we provide a general lower bound on the norm of a random continuum vector using the differential entropy function and a tight condition for the m-th moment stability of an inhomogeneous Markov jump linear system. These tools could be useful to prove stabilization results for other system models.
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