Q1. The input $x(t)$ and the impulse response $h(t)$ of a continuous-time LTI system are shown in the figure below. $x(t)$ $h(t)$ $y(t)$ where $x(t) = u(t) - u(t - 2)$ $h(t) = x(t)$ Calculate $y(t)$ using the graphical method of convolution integral.
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First, we need to find the convolution integral expression for y(t). The convolution integral is given by: y(t) = ∫[h(τ) * x(t-τ)] dτ Show more…
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