Approximate Eigenstructure of LTV Channels with Compactly Supported Spreading

On the Approximate Eigenstructure of Time-Varying Channels

In this article we consider the approximate description of doubly–dispersive channels by its symbol. We focus on channel operators with compactly supported spreading, which are widely used to represent fast fading multipath communication channels. The concept of approximate eigenstructure is introduced, which measures the accuracy Ep of the approximation of the channel operation as a pure multi...

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

‎In this paper‎, ‎indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra's population model. The method reduces the solution of this problem to the solution of a system of algebraic equations‎. ‎Volterra's model is a non-linear integro-differential equation where the integral term represents the effect of toxin‎. ‎To solve the pr...

Adaptive channel partitioning and modulation for linear time-varying channels

We present a novel channel partitioning and modulation technique for linear time-varying (LTV) channels using adaptive bases of localized complex exponentials. We show that localized complex exponentials are approximate eigenfunctions of underspread LTV channels. A basis of localized complex exponentials that approximately diagonalizes the LTV channel is selected adaptively by the receiver duri...

Extending the transfer function calculus of time-varying linear systems: a generalized underspread theory

We extend the approximate transfer function calculus of “undersnreadll linear time-varvine fLTV1 svstems introduced by W. Kozek. Our extensiog is‘ based o”n a new, generalized definition of underspread LTV svstems that does not assume finite support of the systems”’ spreading function. We establish explicit bounds on various error quantities associated with the transfer function approximation. ...