HW and Lab

HW2 – Continuous-Time Signals

• Read Chapter 1 in the text Signals and Systems Using MATLAB.

• Work the following homework problems below.
• Submit homework solutions via Assignment Upload Tool.  Show all work for full credit.

1. 1. Determine if x(t) = cos(8t) + 4sin(8t) is periodic; if periodic, calculate the period.
   2. Determine if x(t) = cos(3t + π/4 ) is periodic; if periodic, calculate the period.

For problems 3 and 4 match the signal to the below graphs.

1. Match the signal to the appropriate sketch a thru d above.
   • a.
   • b.
   • c.
   • d.
2. Match the signal to the appropriate sketch a thru d above.

• a.
• b.
• c.
• d.

Lab2 – Continuous-Time Signals

1. Watch video entitled “Module 2 – Signal Operations in MATLAB”
2. Work the following two lab assignments below.
3. Include answers for Problems and include MATLAB coding along with any output plots that support solutions into a Word document entitled “Lab2_StudentID”.  Where your student id is substituted in the file name.
4. Upload file “Lab2_StudentID”.

Work the following two lab assignments below using MATLAB.

Activity 1:

Consider the following continuous signal:

Plot the continuous-time signal over the range .

Also, break up the time range into two ranges t1=[-1 0] and t2=[0:0.1:5].  Then concatenate the results, i.e. t=[t1 t2].

Activity 2:

Consider a finite-support signal

and zero elsewhere.

• Using Matlab, plot x(t+1)
• Using Matlab, plot x(-t+1)
• Add the above two signals together and plot the new signal y(t).