This paper presents an efficient block Schur algorithm for the joint detection of several CDMA codes in third generation mobile radio systems. It can, for instance, be used in time-slotted CDMA mobile radio systems, mobile radio systems using multi carrier CDMA, and direct sequence CDMA systems. After rearranging the system matrix into a block Toeplitz matrix, the proposed block Schur algorithm...

In this work, the generalization of reachability and observability Gramian matrices of control generalized systems have been studied. The properties of these matrices to be solutions of Lyapunov equations have been analyzed. In addition, an algorithm to obtain balanced generalized systems is given. 2002 Elsevier Inc. All rights reserved.

We present a new parametrization of inner functions based on the Schur algorithm. We make use of state space formulas (in practice we obtain a new parametrization of observable pairs). The main advantage of our parametrization is that for each chart the observability gramian is constant: this leads to a very good behavior in some approximation problems.

In this paper, the (3+1)-dimensional BKP equation is mainly being discussed. Based on the the Wronskian technique and the Pfaffian properties, Wronskian and Grammian solutions have been established. Generating functions for matrix entries satisfy linear system of partial differential equations involving a free parameter.

The notions of controllability and observability play an important role in different problems within feedback control analysis and design. To verify the controllability and observability of a system, several techniques have been introduced. However, often it is not only important to verify if the system is controllable or observable, but also it is required to know the degree of controllability...

Wronskian and Grammian formulations are established for a (3 + 1)-dimensional generalized KP equation, based on the Plücker relation and the Jacobi identity for determinants. Generating functions for matrix entries satisfy a linear system of partial differential equations involving a free parameter. Examples of Wronskian and Grammian solutions are computed and a few particular solutions are plo...

The notions of controllability and observability play an important role in different problems within feedback control analysis and design. To verify the controllability and observability of a system, several techniques have been introduced. However, often it is not only important to verify if the system is controllable or observable, but also it is required to know the degree of controllability...

We study the notion of cross Gramians for nonlinear gradient systems, using the characterization in terms of prolongation and gradient extension associated to the system. The cross Gramian is given for the variational system associated to the original nonlinear gradient system. We obtain linearization results that correspond to the notion of a cross Gramian for symmetric linear systems. Further...

A description of optimal sequences for direct-spread code division multiple access is a byproduct of recent characterizations of the sum capacity. This papers restates the sequence design problem as an inverse singular value problem and shows that it can be solved with finite-step algorithms from matrix analysis. Relevant algorithms are reviewed and a new one-sided construction is proposed that...

Several concepts for the localization of a frame are studied. The intrinsic localization of a frame is defined by the decay properties of its Gramian matrix. Our main result asserts that the canonical dual frame possesses the same intrinsic localization as the original frame. The proof relies heavily on Banach algebra techniques, in particular on recent spectral invariance properties for certai...