Optimizing over the set of orthogonal matrices is a central component in problems like sparsePCA or tensor decomposition. Unfortunately, such optimization is hard since simple operations on orthogonal matrices easily break orthogonality, and correcting orthogonality usually costs a large amount of computation. Here we propose a framework for optimizing orthogonal matrices, that is the parallel ...

ABSTRACT: Space time block code is a transmit diversity strategy used in MIMO technology. STBC-OD design is an attractive code which is having the property of full code rate and full diversity and single symbol decoding for two transmit antennas. Whereas this codes fails for the rate-1 transmission of more than two transmit antennas with the complex signal constellations. To achieve a full code...

A recent development of a parabolic equation method for wave propagation in a non-orthogonal coordinate system is reviewed. A transformation of the full governing equation prior to development of any approximation leads to a model whose results stand in closer agreement to laboratory data for a case of waves propagating into a breakwater harbor. The effect of amplitude dispersion on predicted w...

A vectorial modal method is presented based on transverse magnetic and electric mode expansion, which significantly simplifies the evaluation of operator matrix. The method, features a true open boundary condition, introduced for an orthogonal curvilinear coordinate system with specific examples circular elliptical geometries presented. We validate by considering challenging problems, such as c...

The non-orthogonal boundary-fitted coordinate transformation method is applied to the solution of steady three-dimensional conservation equations of mass, momentum, energy and speciescontinuity to obtain the laminar velocity, temperature and concentration fields for simulation of polymerization of styrene in arbitrary cross-sectional duct reactors. Variable physical properties (except for speci...

The hardware and software designs need a clear, consistent and universally accepted definition of the coordinate system for the LAT. This note specifies the global LAT instrument coordinate system; the terminology, numbering, and orientation of detector planes in the TKR and CAL; and tower numbering, the local tower coordinate systems, and detector element numbering within a tower. The conventi...

The determination of the exterior orientation by a combination of an inertial measurement system (IMU) with relative kinematic GPS-positioning – the direct georeferencing has a growing number of applications for standard photogrammetric projects. One mayor problem is the determination of the relation between the camera and the IMU the boresight misalignment. The rigorous mathematical model requ...

Abstract In this paper, a novel technique for finding a point-by-point (deterministic) attitude solution of a vehicle using Global Positioning System phase difference measurements is presented. This technique transforms a general cost function into a more numerically efficient form by determining three-dimensional vectors in either the body or reference coordinate system. Covariance relationshi...

In this paper, a novel technique for finding a pointby-point (deterministic) attitude solution of a vehicle using Global Positioning System phase difference measurements is presented. This technique transforms a general cost function into a more numerically efficient form by determining three-dimensional vectors in either the body or reference coordinate system. Covariance relationships for the...