DocumentCode
3062065
Title
Effect of record length on the correlation of complex exponentials
Author
Sarkar, T. ; Nebat, J. ; Weiner, D. ; Jain, V.
Author_Institution
Rochester Institute of Technology, Rochester, New York
Volume
8
fYear
1983
fDate
14-16 April 1983
Firstpage
1092
Lastpage
1094
Abstract
Resolution of two sinusoidal signals of frequencies f1 and f2 requires a time record of length at least
. Resolution of two decaying exponentials of complex frequencies s1 = σ1 +jω1 and s2 = σ2 +jω2 , with
, by correlation coefficient is independent of the ratios σ2 /σ1 , and (ω1 - ω2 )/σ1 for a time record of length greater than
. This is also the condition for near-orthogonalization of a set of complex exponentials, with small error.
. Resolution of two decaying exponentials of complex frequencies s
, by correlation coefficient is independent of the ratios σ
. This is also the condition for near-orthogonalization of a set of complex exponentials, with small error.Keywords
Frequency; Signal resolution; Time factors; Tin;
fLanguage
English
Publisher
ieee
Conference_Titel
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '83.
Conference_Location
Boston, Massachusetts, USA
Type
conf
DOI
10.1109/ICASSP.1983.1171981
Filename
1171981
Link To Document