Lab Report - Lab 11: Complex Numbers TIMS

Introduction

The objective of the lab is to utilize the TIMS unit to see how imaginary and real parts of functions look like graphically.

Procedures

Pre-Lab Exercise: A.1.5) Sum = ARB1+ARB2 = 1 + j1

A.1.8) Change the ARB2 phase to -90◦, press “Load ARB”, and record the complex number for the summed value. Record the complex number in both rectangular and polar form.
A.2.3) Explain why the XY plot displays a circle.
The plot displays a circle because it is showing a sin wave and that sin wave is going ina circle when it comes to looking at the xy values
A.2.4) How does this correspond to what you see on the PicoScope?
When removing ARB1 form the scope the XY graph shows only the y direction change of the circle so it appears as a straight line through the y axis.
A.2.5) How does this correspond to what you see on the PicoScope?
When removing ARB2 from the scope it is the same as before but instead of the vertical component remaining only the horizontal component remains with no height.
A.2.6) Write the equation for signals at ARB1 and ARB2 as a function of time in the form: Acos(￿t + ￿)
ARB1: 1cos(t-15)
ARB2: 1.2cos(t+75)
B.2) Create the functions described in B.1 and B.2. Include both Matlab “.m” files in your submission.
Shown in code section below.
C.4) Comparing the output sum signals from steps 3 and 4, are the results as expected? Explain. The sums are similar but not exactly the same as the TIMS machine won't make perfect waves and the matlab is run off of ideal conditions. Additonally, the MATLAB code does some rounding itself.
D.8) Record the ChB amplitude in Table 1. The first one is done for you.

Conclusion


What did you enjoy about this lab?
I enojoyed using the TIMS machine for the last time
What didn’t go well in this lab?
Understanding what was really going on did not go well during lab but it made sense afterwards.
How would you improve the lab experiment for future classes?
I would improve this lab by replacing it with making matlab code instead. In person part felt pointless.

class="section" id="code"

Code

main function Code
polar to rectangular Code
rectangular to polar Code