Browsing by Subject "H infinity control"

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    An inequality on guessing and its application to sequential decoding
    (IEEE, 1995) Arıkan, Erdal
    Let (X,Y) be a pair of discrete random variables with X taking values from a finite set. Suppose the value of X is to be determined, given the value of Y, by asking questions of the form 'is X equal to x?' until the answer is 'yes'. Let G(x|y) denote the number of guesses in any such guessing scheme when X=x, Y=y. The main result is a tight lower bound on nonnegative moments of G(X|Y). As an application, lower bounds are given on the moments of computation in sequential decoding. In particular, a simple derivation of the cutoff rate bound for a single-user channels is obtained, and the previously unknown cutoff rate region of multi-access channels is determined.
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    Preconditioned MLFMA solution of multiple dielectric-metallic composite objects with the electric and magnetic current combined-field integral equation (JMCFIE)
    (IEEE, 2009-06) Ergül, Özgür; Gürel, Levent
    We consider fast and accurate solutions of scattering problems involving multiple dielectric and composite dielectric-metallic structures with three-dimensional arbitrary shapes. Problems are formulated rigorously with the electric and magnetic current combined-field integral equation (JMCFIE), which produces well-conditioned matrix equations. Equivalent electric and magnetic surface currents are discretized by using the Rao-Wilton-Glisson (RWG) functions defined on planar triangles. Matrix equations obtained with JMCFIE are solved iteratively by employing a Krylov subspace algorithm, where the required matrix- vector multiplications are performed efficiently with the multilevel fast multipole algorithm (MLFMA). We also present a four-partition block-diagonal preconditioner (4PBDP), which provides efficient solutions of JMCFIE by reducing the number of iterations significantly. The resulting implementation based on JMCFIE, MLFMA, and 4PBDP is tested on large electromagnetics problems.