CT Convolution
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1 Write an expression for \small (x*h)(t).
You may use u()
for the unit step function \small u(\:\text{-}\,) and
delta()
for the the delta function \small\delta(\:\text{-}\,).
2 Consider the two following signals, \small f and \small g.
Which of the following (if any) is a plot of \small (f*g)(t) from \small -4 to \small +4\,?
3 Consider a polynomial term \small p(t) that is clamped to zero before \small t=0, so that
Write an expression for the convolution of \small p(t) with the unit step function \small u(t).
You may use alpha
for \small\alpha, u()
for the unit step function \small u(\:\text{-}\,), and
delta()
for the the delta function \small\delta(\:\text{-}\,).