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Get Full Access to Signals And Systems - 2 Edition - Chapter 1 - Problem 1.18
Get Full Access to Signals And Systems - 2 Edition - Chapter 1 - Problem 1.18

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# Consider a discrete-time system with input x[n] and output y[n] related by n+n0 y[n] = L

ISBN: 9780138147570 477

## Solution for problem 1.18 Chapter 1

Signals and Systems | 2nd Edition

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Problem 1.18

Consider a discrete-time system with input x[n] and output y[n] related by n+n0 y[n] = L x[k], where n0 is a finite positive integer. (a) Is this system linear? (a) Is this system time-invariant? k= n-no (c) If x[n] is known to be bounded by a finite integer B (i.e., jx[n]j < 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 Band n0 .

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