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Faculty of Engineering
Document Details
Document Type
:
Article In Journal
Document Title
:
On Weak Equivalence of Linear Systems & Finite State Systems
حول التكافؤ الضعيف بين النظم الخطية والنظم ذات الحالات المحدودة
Subject
:
Electrical Engineering
Document Language
:
English
Abstract
:
It is shown that finite state machines exist which are weakly equivalent to linear systems for some nontrivial definitions of weak equivalence. Two systems, one linear with state space R", the other with finite state spece, operate on the same stationary uncorrelated input sequence u. The two systems have real valued output sequences Y and 9. Notions of weak equivalence are formulated, which involve sets of second moments of the input and two outputs. Power spectrum equivalence requires the E (YtYt+T ) = E (YtYt+T ) for all T. Cross-correlation equivalence requires that E (utYI+r) =E (ut.vt+r) for all T. The interdependence of these and other notions of weak equivalence are studied. The existence of weakly equivalent finite state systems is constructively demonstrated for a standard class of linear systems.
ISSN
:
1319-1047
Journal Name
:
Engineering Sciences Journal
Volume
:
3
Issue Number
:
1
Publishing Year
:
1411 AH
1991 AD
Article Type
:
Article
Added Date
:
Saturday, January 2, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
عبدالمجيد عشماوي
ESHMAWI, Abdulmajeed
Investigator
Doctorate
Files
File Name
Type
Description
24630.pdf
pdf
On Weak Equivalence of Linear Systems & Finite State Systems
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