Title
Effect of record length on the correlation of complex exponentials
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.
Year
DOI
Venue
1983
10.1109/TAP.1982.1142782
Antennas and Propagation, IEEE Transactions  
Keywords
Field
DocType
Correlations,Signal resolution,Singularity expansion methods,System identification, linear systems
Correlation coefficient,Exponential function,Polynomial,Mathematical analysis,Mathematical physics,Optics,Orthogonality,Omega,Complex variables,Sigma,Finite time,Physics
Conference
Volume
Issue
ISSN
30
2
0018-926X
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Nebat, J.100.34
Sarkar, T.K.2471117.33
D. D. Weiner3195.52
Vijay Jain45013.06