Shift-Invariant System For a shift-invariant system, if yn is the response to an input xln], then the response to an input x[n]=xiin-no] IS simply yIn]=yiIn-nol where no is any positive or negative integer The above relation must hold for any arbitrary input and its corresponding output Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 15 Shift-Invariant System • For a shift-invariant system, if is the response to an input , then the response to an input is simply where is any positive or negative integer • The above relation must hold for any arbitrary input and its corresponding output y [n] 1 x [n] 1 [ ] [ ] n no x n = x1 − [ ] [ ] n no y n = y1 − no