{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

EE1003_ClassroomExercise1

# EE1003_ClassroomExercise1 - term i.e v t = A cos(2 πf t A...

This preview shows page 1. Sign up to view the full content.

Classroom Exercise #1 Here’s the exercise that we did in class today. Problem: Draw the amplitude spectrum of v ( t ) = A cos(2 πf 0 t ) + A 2 cos(4 πf 0 t ) . Solution: Applying the fact that cos( θ ) = 1 2 ( e + e - ) , we have the following expansion: v ( t ) = A 2 e j 2 πf 0 t Phasor 1 + A 2 e j 2 π ( - f 0 ) t Phasor 2 + A 4 e j 2 π (2 f 0 ) t Phasor 3 + A 4 e j 2 π ( - 2 f 0 ) t Phasor 4 This expansion yields the following amplitude spectrum of v ( t ) . Further Discussion: Suppose we extend the above problem by adding yet another cosine
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: term, i.e., v ( t ) = A cos(2 πf t ) + A 2 cos(4 πf t ) + A 4 cos(6 πf t ) . What will the amplitude spectrum look like? Answer: There should be two additional spectral lines added to the above amplitude spectrum. Both will have height A 8 , but one will be centered at 3 f , the other at-3 f ....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern