DocumentCode
935284
Title
Computation of exponentials in transient data
Author
Majda, George ; Strauss, Walter A. ; Wei, Musheng
Author_Institution
Dept. of Math., Ohio State Univ., Columbus, OH, USA
Volume
37
Issue
10
fYear
1989
fDate
10/1/1989 12:00:00 AM
Firstpage
1284
Lastpage
1290
Abstract
Prony´s method is widely used to identify the poles of a time series. A numerical implementation of Prony´s method based on the properties of the least-squares solution of the transient data matrices is described, and a practical indicator of the accuracy of the computational results that is based on the singular values of the transient data matrices is derived. This algorithm can be applied to time series which contain simple or multiple poles
Keywords
acoustic wave scattering; electromagnetic wave scattering; least squares approximations; poles and zeros; time series; Prony´s method; acoustic scattering; electromagnetic scattering; exponentials computation; least-squares solution; numerical implementation; poles; singular values; time series; transient data matrices; Acoustic scattering; Eigenvalues and eigenfunctions; Electromagnetic scattering; Electromagnetic transients; Least squares methods; Mathematics; Network address translation; Resonance; Resonant frequency; Testing;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.43537
Filename
43537
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