Lab4 – The Laplace Transform
- Watch video entitled “Module 4 – Laplace Transform in MATLAB”
- Work the two problems below.
- Include answers for Problems and include MATLAB coding along with any output plots that support solutions into a Word document entitled “Lab4_StudentID”. Where your student id is substituted in the file name.
- Upload file “Lab4_StudentID”.
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)
- Determine the transfer function H(s) of the system. Use the Laplace transform pairs table for this.
- Plot the system impulse response using Matlab.
- The input, x(t) is defined as
for x ≥ 0. Find X(s) using the tables. - Compute the output response Y(s).
- Compute y(t) using the Laplace Transform pairs and plot y(t).
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