1 1 vote The output $\{y(n)\}$ of a discrete time system with input $\{x(n)\}$ is given by \[ y(n)=\sum_{k=0}^{N-1} a^{k} x(n-k) . \] The difference equation for the inverse system is given by $y(n)=x(n)-a x(n-1)$ $y(n)-a^{N} y(n-N)=x(n)-a x(n-1)$ If $|a|<1$, then the answer is $(a)$ above, otherwise the inverse does not exist If $|a|<1$, then the answer is $(b)$ above, otherwise the inverse does not exist None of the above Discrete-time Signals tifr2013 discrete-time-signals system-properties + – admin 436 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.