Question: 4. [25 pts] Given: You have a system transfer function with the following impulse response: h(t) = 4e-u(t) The following signal is input into the

4. [25 pts] Given: You have a system transfer function with

the following impulse response: h(t) = 4e-u(t) The following signal is input

4. [25 pts] Given: You have a system transfer function with the following impulse response: h(t) = 4e-u(t) The following signal is input into the system 5 4.5 4 3.5 3 x(t), volts 2.5 2 1.5 1 0.5 0 -0.1 -0.05 0 0.05 0.25 0.3 0.35 0.4 0.1 0.15 0.2 time, seconds Find: Do the following: (a) Determine the analytical expression for y(t) = x(t) * h(t). Note you do NOT have to perform the integrations by hand; rather, you are encouraged to use Matlab's symbolic integration capabilities. (b) Plot the analytical expression for y(t) using Matlab. (c) Use Matlab to determine the convolution of the two signals using the conv command. (d) Plot your analytical solution and the Matlab solution on the same graph

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