DocumentCode :
1024231
Title :
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 :
30
Issue :
2
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 
and 
with 
, it is shown that a finite time record length 
may be considered as though it were infinite, provided 
. This is also the condition for near-orthogonalization of a set of complex exponentials, with small error.
and with , it is shown that a finite time record length may be considered as though it were infinite, provided . 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 :
