Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non–linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different ...

Abstract For two given subspaces of C we investigate their distance and angle on the basis of a joint decomposition of the corresponding orthogonal projectors. Further attention is paid to the notions inclinedness, orthogonal incidence and minimal angle. Some formulas for the spectral norm of orthogonal projectors or functions thereof are derived. Also the proofs of results known from Hilbert s...

in this paper, we propose space-time block codes based on constituent intersectant orthogonal designs. after channel model is formulated, we studied the space-time block codes from constituent intersectant orthogonal designs. at last we made simulations for the space-time block codes from complex orthogonal design and the space-time block codes from constituent intersectant orthogonal design to...

We present a method for generating local orthogonal bases on arbitrary partitions of R from a given local orthogonal shift-invariant basis via what we call a squeeze map. We give necessary and suÆcient conditions for a squeeze map to generate a non-uniform basis that preserves any smoothness and/or accuracy (polynomial reproduction) of the shift-invariant basis. When the shift-invariant basis h...