Finite-Dimensional LTi Discrete-Time Systems In developing the transform-domain representation of the difference equation, it has been tacitly assumed that X(eu)and Y(e/u)exist The previous equation can be alternately written as e/kY(e0)=、 pre oklo() ∑ k=0 Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 4 Finite-Dimensional LTI Discrete-Time Systems • In developing the transform-domain representation of the difference equation, it has been tacitly assumed that and exist • The previous equation can be alternately written as ( ) j Y e ( ) j X e ( ) ( ) 0 0  =  −  = −         =        j M k j k k j N k j k k d e Y e p e X e