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**Unformatted text preview: **input that will produce an unbounded output. Problem 6.5 Determine for what values of real each of the following represents a BIBO stable system: (a) h [ n ] = n < 10 ( n + ) 2 n 1000 (0 . 1 + ) n n > 1000 ; (b) y [ n + 2] + y [ n ] = 10 x [ n ]. Problem 6.6 Recall that the step response of a system is its response to a unit step in the input, with zero initial conditions. The step response of an LSI system is s [ n ] = (1 / 3) n-2 u [ n + 2]. Is this system causal? Is it stable? Problem 6.7 The input x [ n ] = 2 n ( u [ n ]-3 u [ n-1]) to an unknown LSI system produces the output y [ n ] = (3 n-2 n ) u [ n ]. (a) Determine the unit-pulse response of the system. (b) Is the solution unique? What if the system is known to be unstable? What if it is causal? 2...

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