Question

18.Consider a discrete-time system with input x n and output y n related by qquad y n =sum_(k=n-n_(0))^(n+n_(0))x k where n_(0) is a finite positive integer. (a) Is this system linear? (a) Is this system time-invariant? (c) If x n is known to be bounded by a finite integer B (i.e. |x n |<B for all n ) it can be shown that y n is bounded by a finite number C .We conclude that the given system is stable.Express C in terms of B and n_(0) .​

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