Consider a CT LTI system with input x(t), output y(t), and unit impulse response h(t). Determine...

 

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Consider a CT LTI system with input x(t), output y(t), and unit impulse response h(t). Determine y(t) = x(t) * h(t) for the following: (a) x(t) = etu(-t) and h(t) = 2u(t) - u(t-1)-u(t - 2) (b) x(t) = e-tu(t) and h(t) = u(t 2) - u(t - 4) (c) x(t) = u(1 t) and h(t) = e-tu(t-1) (d) x(t) = e-tu(t-1) and h(t) = 2u(t-1) Consider a CT LTI system with input x(t), output y(t), and unit impulse response h(t). Determine y(t) = x(t) * h(t) for the following: (a) x(t) = etu(-t) and h(t) = 2u(t) - u(t-1)-u(t - 2) (b) x(t) = e-tu(t) and h(t) = u(t 2) - u(t - 4) (c) x(t) = u(1 t) and h(t) = e-tu(t-1) (d) x(t) = e-tu(t-1) and h(t) = 2u(t-1)

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To determine the output yt for each given input xt and unit impulse response ht we need to convolve the input signal with the impulse response a xt et... View the full answer