A technique to approximate the eigenvalues of autocorrelation functions

Author

Soliman, Sarmir S. ; Scholtz, Robert A.

Author_Institution

Dept. of Electr. Eng., Southern Methodist Univ., Dallas, TX, USA

fYear

1988

fDate

28 Nov-1 Dec 1988

Firstpage

1463

Abstract

The authors consider multipath propagation in which one or more attenuated and delay versions of the same radiated signal are received at a single sensor or a beamformed array of sensors. They propose a probabilistic model for the eigenvalues and investigate the use of the theory of moments to obtain an approximation to the eigenvalues of a homogeneous Fredholm integral equation of the second kind and Hermitian kernel. A numerical example to demonstrate the performance of the technique proposed is presented

Keywords

approximation theory; correlation theory; eigenvalues and eigenfunctions; integral equations; radiowave propagation; Hermitian kernel; attenuated signal; autocorrelation functions; beamformed array; delayed signal; eigenvalues; homogeneous Fredholm integral equation; multipath propagation; probabilistic model; radiated signal; radiowave propagation; second kind; sensors; single sensor; theory of moments; Autocorrelation; Contracts; Differential equations; Eigenvalues and eigenfunctions; Integral equations; Kernel; Numerical analysis; Physics; Propagation delay; Sensor arrays;

fLanguage

English

Publisher

ieee

Conference_Titel

Global Telecommunications Conference, 1988, and Exhibition. 'Communications for the Information Age.' Conference Record, GLOBECOM '88., IEEE

Conference_Location

Hollywood, FL

Type

conf

DOI

10.1109/GLOCOM.1988.26067

Filename

26067