Matrix inversion block is one of the computationally intensive blocks in communications system. To reduce the size of hardware implementation is a challenging problem. In MIMO-OFDM system, the receiver which uses zero-forcing (ZF) or minimum mean square error (MMSE) scheme should calculate the inverse matrices of all sub-carriers. This paper proposes VLSI architecture for interpolation-based ma...

In this paper, we present the LMI conditions to characterize the strictly bounded realness of the state-space realization of the solution to the bi-tangential rational interpolation problem, i.e., they give the solution to the bitangential Nevanlinna-Pick interpolation problem [13], [3]. The bi-tangential Nevanlinna-Pick interpolation problem is the generalization of the classical interpolation...

Scattered data interpolation by radial kernel functions leads to linear equation systems with large, fully populated, ill-conditioned interpolation matrices. A successful iterative solution of such a system requires an efficient matrix-vector multiplication as well as an efficient preconditioner. While multipole approaches provide a fast matrix-vector multiplication, they avoid the explicit set...

Matrix interpolation theory has provided a very useful and elegant mathematical tool to analyse the problems which could be translated into some matrix equations. It could also be applied to justify some convenient known results frequently used in many instances. In this paper, a brief review of this theory and some of its applications in control engineering are presented. Solutions of some mat...

Applications of mathematics and statistics often require fitting a smooth approximating function to a finite set of data points, or interpolating the data points by fitting the points exactly. In the event that interpolation of a grid of points is required, we recently proposed a method (which we call the SVD method[10]) for creating a function of two variables which interpolates the points. Wh...

In this paper, we show the equivalence between matrix rational interpolation problems with poles as interpolation points and no-pole problems. This equivalence provides an effective method for computing matrix rational interpolants having poles as interpolation points. However, this equivalence is only valid in those cases where enough pole information is known. It is an open problem on how one...