DocumentCode
3341864
Title
K∞ generalized functions
Author
Davis, Artice M.
Author_Institution
Dept. of Electr. Eng., San Jose State Univ., CA, USA
Volume
3
fYear
1995
fDate
30 Apr-3 May 1995
Firstpage
1652
Abstract
This paper presents a theory of generalized functions that is much less abstract than the conventional ones. The theory presented is sufficiently general to encompass all singularity functions of the impulsive type without the need for abstract mathematics. Previous work has shown that it is possible to solve lumped linear circuits and other differential systems without leaving the time domain provided that the basic signal set consists of one-sided waveforms that are differentiable an arbitrary number of times. It is shown below that such a signal set can be constructed from the set of all one-sided K∞ waveforms on -∞<t<∞
Keywords
functions; linear network analysis; lumped parameter networks; time-domain analysis; waveform analysis; K∞ generalized functions; differential systems; impulsive singularity functions; lumped linear circuits; one-sided K∞ waveforms; one-sided waveforms; signal set construction; time domain; Bandwidth; H infinity control;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on
Conference_Location
Seattle, WA
Print_ISBN
0-7803-2570-2
Type
conf
DOI
10.1109/ISCAS.1995.523727
Filename
523727
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