We obtain a Sturm-Lioville matrix equation of motion (SLME) for the study of electromagnetic wave propagation in layered anisotropic structures. Conducting media were taken into account so that ohmic loss is considered. This equation can be treated using a 4 × 4 associated transfer matrix (T) in layered anisotropic structures, where the tensors: permittivity, permeability and the electric condu...

The rst-order two-step nonlinear estimator, when applied to a problem of orbital navigation, is found to occasionally produce rst step covariance matrices with very low eigenvalues at certain trajectory points. This anomaly is the result of the linear approximation to the rst step covariance propagation. The study of this anomaly begins with expressing the propagation of the rst and second step...

We extend the differential theory to anisotropic cylindrical structures with arbitrary cross-section. Two cases have to be distinguished. When the anisotropic cylinders do not contain the origin, the scattering matrix of the device is calculated from the extended differential theory with the help of the scattering matrix propagation algorithm. The fields outside the cylinders are described by F...

We study the geometry of propagation of relativistic fermions. We propose how to measure its quantum mechanical length. Numerical lattice results for the free propagator of DiracWilson fermions yield Hausdorff dimension dH = 2 for the unit-matrix component and dH = 1 for any γ-matrix component. A possible generalization when matter interacts with radiation is discussed. PACS index: 03.65.-w, 05...

In this paper, a face recognition system for personal identification and verification using Principal Component Analysis (PCA) with Modified Back Propagation Neural Networks (MBPNN) is proposed. The dimensionality of face image is reduced by the PCA and the recognition is done by the MBPNN. The system consists of a database of a set of facial patterns for each individual. The characteristic fea...

A new class of error-correcting codes is created from a matrix operation defined within. The matrix operation takes a point-block incidence and produces a new point-block incidence with some desirable properties, including a doubling of the girth of the Tanner graph of the initial matrix. A specific example is created using PG(2, q), and the results are generalized to any point-block incidence ...

BLAST (Bell Labs Layered Space-Time) is a multiple-antenna communication scheme whose outage capacity in a Rayleigh at fading environment grows linearly with the minimum of the number of transmit and receive antennas, with no increase in bandwidth or transmitted power. Based on its knowledge of the matrix of propagation coeecients, the receiver performs two critical operations: nulling and canc...

Many real-world applications can be modeled by matrix factorization. By approximating an observed data matrix as the product of two latent matrices, matrix factorization can reveal hidden structures embedded in data. A common challenge to use matrix factorization is determining the dimensionality of the latent matrices from data. Indian Buffet Processes (IBPs) enable us to apply the nonparametr...

modelling of crack propagation by finite element method under mixed mode conditions is of prime importance in fracture mechanics. this paper describes an application of finite element method to the analysis of mixed mode crack growth in linear elastic fracture mechanics. crack growth process is simulated by an incremental crack-extension analysis based on the maximum principal stress criterion,...