Abstract
In many application areas, Levy processes, a generalization of the Wiener process, are widely used in order to suitably capture sudden shifts or discrete-value nature in stochastic dynamical systems. In this paper, we formulate a weighting function conversion problem for weak approximation of Levy processes. This problem covers many practically important problems, and is shown to be equivalent to a sampled-data H2 signal reconstruction problem. By virtue of a remarkable feature of Levy processes, the main result provides a simple design procedure of suboptimal filters for this problem.
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