where j is √ 01, K is the number of frequency comFernández del RıB o, J. E., and Sarkar, T. K., Comparison ponents, and Am is the complex amplitude at frebetween the Matrix Pencil Method and the Fourier Transquency fm . form Technique for High-Resolution Spectral Estimation, The time function is sampled at N equispaced Digital Signal Processing 6 (1996), 108–125. points, Dt apart. Hence (2.1) r...

We are reporting a female case of semantic dementia. Characteristic of this type of dementia, she could not recognize some objects such as a pencil, a ruler or her dominant hand. When shown a pencil, she would ask “What is a pencil?” Her brain MRI showed atrophy of bilateral temporal lobes, especially anterior poles. SPECT also showed abnormally decreased blood flow in temporal lobes and fronta...

Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate s...

A systematic study of acoustic emission detection using fiber Bragg grating sensors is presented. In this, we attempt to use the fiber Bragg grating to sense the dynamic strain created by a passing ultrasonic wave signal. Our goal is to see if such a sensor is possible, and if so, what the detection sensitivity and limitations will be. To answer these questions, we carried out several experimen...

Some recent works address the problem of blind source separation with a matrix pencil. In this paper we show that the covariance matrices of the pencil can be computed at the output of a simple linear filter instead of using time-delayed covariance matrices. It is also shown, using block matrix manipulation, that the method might applied when the number of source signals is not equal to the num...

Abstract In this paper we analyze the stability of problem performing a rational QZ step with shift that is an eigenvalue given regular pencil $$H-\lambda K$$ H - λ K in unreduced Hessenberg–Hessenberg form. exact arithmetic, backward m...

We study problems associated with an operator pencil, i.e., a pair of operators on Banach spaces. Two natural problems to consider are linear constrained differential equations and the description of the generalized spectrum. The main tool to tackle either of those problems is the reduction of the pencil. There are two kinds of natural reduction operations associated to a pencil, which are conj...

Let A(x) = A0 + x1A1 + · · · + xnAn be a linear matrix, or pencil, generated by given symmetric matrices A0, A1, . . . , An of size m with rational entries. The set of real vectors x such that the pencil is positive semidefinite is a convex semialgebraic set called spectrahedron, described by a linear matrix inequality (LMI). We design an exact algorithm that, up to genericity assumptions on th...

Many articles in the medical literature report some cases of foreign bodies introduced into the urogenital system. Most cases are related to psychiatric disorders, stories of drug addiction or the purpose of sexual stimulation. The urinary bladder seems to be an inaccessible site for the introduction of foreign bodies, particularly in the male; however, almost every conceivable object has been ...

Three techniques are proposed for more realistic image synthesis of transparent objects. The techniques simulate important phenomena due to refraction and/or reflection, such as focuses and dispersion. For efficient simulation of focuses and caustics, a method called grid-pencil tracing is proposed, based on the ideas of pencil tracing and backward ray tracing. An anti-aliasing filter is design...