{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Midterm3SampleProblems.solutions

# Midterm3SampleProblems.solutions - 1 Compute the complex...

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1. Compute the complex exponential Fourier series coefficients . Solution We seek the coefficients for the series expression However, note that which is already in the correct form. Thus . 2. Find the fundamental period of Solution 3. Compute the complex exponential Fourier series coefficients over one period as . Solution . , for the periodic signal and for all and for the periodic signal defined For Recall that and thus . Therefore, Note that if even, then and if is odd, then . Note also that for any is an odd number. Thus integer , is an even number and For the case that , and for the periodic signal 4. Compute the complex exponential Fourier series coefficients Solution The fundamental period is . shown below 5. Compute the Fourier transform of the signal 1.5 1 0 0 2 4 Solution First, we write as a sum of canonical rectangle functions, where the Fourier transform of is . Then we apply the relationships for time‐shifting and time‐scaling to write the answer directly, and Thus ...
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