Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings that preserve orthogonality. For this purpose, suppose that E and F are two inner product A-modules and A+ is the set o...

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

An extension of the metric space in which distance same point is not always zero called a partial space. Orthogonality relation two perpendicular lines at one intersection forming right angle. There are several ways to define orthogonality, including Pythagorean Orthogonality, Isosceles and Birkhoff-James Orthogonality. The purpose this research study consistency definition orthogonality Based ...

While dealing with a Hamiltonian continuous spectrum we use tridiagonal method involving orthogonal polynomials to construct set of coherent states obeying Glauber-type condition. We perform Bayesian decomposition the weight function orthogonality measure show that obtained can be recast in Gazeau-Klauder approach. The $\ell$-wave free particle is treated as an example illustrate method.

An 8-10 GHz X-band upconversion quadrature mixer stage implemented in 250 nm SiGe BiCMOS is presented. Orthogonality of the spurious responses caused by clock feed through, I/Q mismatch and baseband harmonics after self-mixing was exploited to realize a baseband calibration scheme reducing all in-band spurs down to below -73dBc, for baseband signals up to a bandwidth of 2MHz and with an IF cent...

The effect of Doppler spreading destroys the orthogonality of the subcarrier in OFDM giving rise to inter-carrier interference (ICI), and the Doppler spectrum types of MIMO with distributed antenna systems (DAS) may not be the same. This paper focuses on the analysis of ICI for MIMO OFDM with DAS. Firstly the instantaneous expression of SINR is presented using zero force (ZF) detector. Then the...

We study orthogonal polynomials with periodically modulated Jacobi parameters in the case when 0 lies on soft edge of spectrum corresponding periodic matrix. determine orthogonality measure is absolutely continuous and we provide a constructive formula for it terms limit Turán determinants. next consider asymptotics solutions associated second order difference equation. Finally, scaling limits ...

We propose a novel block-row partitioning method in order to improve the convergence rate of the block Cimmino algorithm for solving general sparse linear systems of equations. The convergence rate of the block Cimmino algorithm depends on the orthogonality among the block rows obtained by the partitioning method. The proposed method takes numerical orthogonality among block rows into account b...

In orthogonal frequency-division multiplexing (OFDM) systems, synchronization issues are of great importance since synchronization errors might destroy the orthogonality among all subcarriers and, therefore, introduce intercarrier interference (ICI) and intersymbol interference (ISI). Several schemes of frequency offset estimation in OFDM systems have been investigated. This paper compares perf...