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 : Original Works 
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 
Number Of Pages : 17 
Article Type : Article 
Added Date : Sunday, October 11, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
عبدالمجيد عشماوي A. M. EshmawiResearcher  
كليفورد موليس C. T. Mullis Researcher  
ر. روبرتس R. A. RobertsResearcher  

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