Find output of the continuous-time unit-step function

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The continuous-time counterpart to the N-point discrete-time MA filter is the I-interval continuous-time MA filter given by the input/output relationship y(t)=(1/I)*Integral of x(lamda) delta lambda where the bounds are from t-I to t and I is a positive number (the time interval over which the input is integrated). Derive a mathematical expression for the filter's output response y(t) when the input x(t) is a) the unit impulse b) the continuous-time unit-step function u(t)

Reference no: EM13229026

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