DocumentCode
1076167
Title
Potential for Incorrect Solutions of Continuous-Time LTI System Problems When Using Eigenfunctions
Author
He, Zishu ; Xia, Wei ; Li, Huiyong
Author_Institution
Sch. of Electron. Eng., China Electron. Sci. & Technol. Univ., Chengdu
Volume
51
Issue
2
fYear
2008
fDate
5/1/2008 12:00:00 AM
Firstpage
288
Lastpage
289
Abstract
The concept of eigenfunctions for a linear time-invariant system is emphasized in this short paper. It is pointed out that when the concept of eigenfunctions is used, incorrect results may be obtained if the region of convergence of the system function is overlooked. As a consequence, incorrect solutions can be obtained, as was the case for an example found in a widely used textbook.
Keywords
Laplace transforms; continuous time systems; eigenvalues and eigenfunctions; linear systems; continuous-time LTI system problems; eigenfunctions; linear time-invariant system; Convergence; Convolution; Eigenvalues and eigenfunctions; Helium; Laplace equations; Eigenfunctions; Laplace transforms; region of convergence;
fLanguage
English
Journal_Title
Education, IEEE Transactions on
Publisher
ieee
ISSN
0018-9359
Type
jour
DOI
10.1109/TE.2007.910364
Filename
4455463
Link To Document