Question: Consider a linear time-invariant discrete-time system for which the input x[n] and output y[n] are related by the second-order difference equation y[n ? 1] +

Consider a linear time-invariant discrete-time system for which the input x[n] and output y[n] are related by the second-order difference equation

y[n ? 1] + 1/3 y[n ? 2] = x[n].

?From the following list, choose two possible impulse responses for the system:

(a) (-})"* u[n+ 1] (b) 37+lu[n + 1] (c) 3(-3)"+2u[-n - 2]

(a) (-})"* u[n+ 1] (b) 37+lu[n + 1] (c) 3(-3)"+2u[-n - 2] (d) (-})" ul-n - 2) (e) (-)"* ul-n - 2] () ()"* uln + 1] (g) (-3)"+u[n] (h) n/u[n] n+1

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