tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator:...

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tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n), when (a) the system is causal, (b) the system is BIBO stable?

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tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator:...

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