Activity 1: Work the problems at the end of Chapter 3: Problems 3.31(b), 3.32(a), and 3.32(b) using MATLAB. Activity 2: A linear time-invariant...

Activity 1:

Work the problems at the end of Chapter 3: Problems 3.31(b), 3.32(a), and 3.32(b) using MATLAB.

Activity 2:

A linear time-invariant continuous-time system has the impulse response below:

h(t) =[cos 2t + 4 sin 2t]u(t)

1. Determine the transfer function H(s) of the system. Use the Laplace transform pairs table for this.
2. Plot the system impulse response using Matlab.
3. The input, x(t) is defined as  for x ≥ 0. Find X(s) using the tables.    
4. Compute the output response Y(s).
5. Compute y(t) using the Laplace Transform pairs and plot y(t).