Shift-Invariant System Example-Consider the up-sampler with an input-output relation given by xn/L],n=0,+L2±2L, 0 otherwise For an input xin]=xin-no the output xluln is given by x1[n/,n=0,+L,+2L Alan u otherwise ∫x1(n-Ln0)/L],n=0,±L,±2L2 otherwise Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 17 Shift-Invariant System • Example - Consider the up-sampler with an input-output relation given by • For an input the output is given by    =   = , otherwise [ / ], , , ,..... [ ] 0 x n L n 0 L 2L xu n [ ] [ ] n no x1 n = x − [ ] x1,u n    =   = , otherwise [ / ], , , ,..... [ ] , 0 1 0 2 1 x n L n L L x u n    − =   = , otherwise [( )/ ], , , ,..... 0 x n Lno L n 0 L 2L