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 Back To Researches Page