Question: A discrete-time averager is characterized by the following equation relating the input x(nT s ) with the output y(nT s ) (a) Is this system

A discrete-time averager is characterized by the following equation relating the input x(nTs) with the output y(nTs)

E x(nT, – kT,) y(nT,) = 2N + 1 k=-N

(a) Is this system causal? Explain.

(b) Let N = 2 in the above equation. Find and plot the impulse response h(nTs) of the averager.

(c) For N = 2, if the input to the averager is

n = 0, 1, 2 o o therwise x(nT,) =

calculate the output y(nTs).

E x(nT, – kT,) y(nT,) = 2N + 1 k=-N n = 0, 1, 2 o o therwise x(nT,) =

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