Effect of record length on the correlation of complex exponentials

Author

Nebat, J. ; Sarkar, T. ; Weiner, D. ; Jain, V.

Author_Institution

Syracuse Univ., Syracuse, NY, USA

Volume

Issue

fYear

1982

fDate

3/1/1982 12:00:00 AM

Firstpage

267

Lastpage

272

Abstract

The correlation coefficient is one measure of how well two signals can be resolved. The effect of record length on the correlation of complex exponentials is examined. For two decaying exponentials of complex frequencies $s_ {1} = \\sigma _{1} + j\\omega _{1}$ and $s_ {2} = \\sigma _{2} + j\\omega _{2}$ with $\\sigma _{2} > \\sigma _{1}$ , it is shown that a finite time record length $\\Delta$ may be considered as though it were infinite, provided $\\Delta > 2/ |\\sigma _{1}|$ . This is also the condition for near-orthogonalization of a set of complex exponentials, with small error.

Keywords

Correlations; Signal resolution; Singularity expansion methods; System identification, linear systems; Chromium; Frequency; Integral equations; Signal processing; Signal resolution;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.1982.1142782

Filename

1142782

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1024231