On weak equivalence of linear systems and finite state systems
Other Title(s)
حول التكافؤ الضعيف بين النظم الخطية و النظم ذات الحالة المحدودة
Joint Authors
Ashmawi, Abd al-Majid
Mullis, Clifford T.
Roberts, R. A.
Source
Journal of King Abdulaziz University : Engineering Sciences
Issue
Vol. 3, Issue 1 (31 Dec. 1991), pp.3-20, 18 p.
Publisher
King Abdulaziz University Scientific Publishing Center
Publication Date
1991-12-31
Country of Publication
Saudi Arabia
No. of Pages
18
Main Subjects
Information Technology and Computer Science
Abstract EN
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 y.
Notions of weak equivalence are formulated, which involve sets of second moments of the input and two outputs.
Power spectrum equivalence requires the E(ytynJ = E (y,yl+J for all t.
Cross-correlation equivalence requires that E (u:yt+T) = E (u,y,J for all r.
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.
American Psychological Association (APA)
Ashmawi, Abd al-Majid& Mullis, Clifford T.& Roberts, R. A.. 1991. On weak equivalence of linear systems and finite state systems. Journal of King Abdulaziz University : Engineering Sciences،Vol. 3, no. 1, pp.3-20.
https://search.emarefa.net/detail/BIM-400005
Modern Language Association (MLA)
Ashmawi, Abd al-Majid…[et al.]. On weak equivalence of linear systems and finite state systems. Journal of King Abdulaziz University : Engineering Sciences Vol. 3, no. 1 (1991), pp.3-20.
https://search.emarefa.net/detail/BIM-400005
American Medical Association (AMA)
Ashmawi, Abd al-Majid& Mullis, Clifford T.& Roberts, R. A.. On weak equivalence of linear systems and finite state systems. Journal of King Abdulaziz University : Engineering Sciences. 1991. Vol. 3, no. 1, pp.3-20.
https://search.emarefa.net/detail/BIM-400005
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 17-19
Record ID
BIM-400005