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A time-discrete system H is described by:y[n] = Xk=0(0.5)kx[n k], (1)(a) Show that H is an LTI system (b) Determine the impulse response h[n]. (c)

A time-discrete system H is described by:y[n] = Xk=0(0.5)kx[n k],

(1)(a) Show that H is an LTI system

(b) Determine the impulse response h[n].

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