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QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...

QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3 marks) (c) Given a causal LTI system described by y[n] – vln – 1] + X «In – 2] = 2x[n – 1] Determine the impulse response h[n] of this system. You are NOT ALLOWED to use any transform methods (assume initial rest). [9 marks)

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