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An analog signal is given by f[t) = t (i.e., it increases linearly with time and

ID: 1813460 • Letter: A

Question

An analog signal is given by f[t) = t (i.e., it increases linearly with time and is thus is a unit ramp.) It is convolved with a second signal, g pound t), which is of the form g(t) = 1 (i.e., it has a constant value of 1 or is a unit step function). The two signals are shown below. The result or output of the convolution, using the standard definition of convolution of two this case is given by Now evaluate this integral and find the value of the integral when t = 2. Hint: Note that t is a parameter and thus can be treated as constant while finding the integral. Also, integration is with respect to r and not t. Keep in mind that the integral of the sum or difference of two functions is the sum or difference of the integral of the two functions performed individually. (Integration is a linear operator.)

Explanation / Answer

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