Convolution property and system functions gn=an*hn Y(2=H2X(=,ROC at least the intersection of the rocs of H(z)and x(z) can be bigger if there is pole/zero cancellation. e. g. ≠ Y(2)= 1 roc all z H()=∑h2n e system Function H(+ ROC tells us everything about systemConvolution Property and System Functions Y(z) = H(z )X(z) , ROC at least the intersection of the ROCs of H(z) and X(z), can be bigger if there is pole/zero cancellation. e.g. H(z) + ROC tells us everything about system