{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam3F11 - NAME Digital Signal Processing I Session 40 Exam...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
NAME: 30 Nov. 2011 Digital Signal Processing I Exam 3 Fall 2011 Session 40 30 Nov. 2011 Cover Sheet WRITE YOUR NAME ON EACH EXAM SHEET Test Duration: 60 minutes. Open Book but Closed Notes. Calculators NOT allowed. This test contains two problems. All work should be done in the space provided. Do not just write answers; provide concise reasoning for each answer. 1
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Problem 1. Let x [ n ] be a discrete-time rectangular pulse of length L = 5 and h [ n ] be a discrete-time rectangular pulse of length M = 3 as defined below: x [ n ] = u [ n ] - u [ n - 5] h [ n ] = u [ n ] - u [ n - 3] (a) With X N ( k ) computed as the 5-pt DFT of x [ n ] = u [ n ] - u [ n - 5] and H N ( k ) computed as the 5-pt DFT of h [ n ] = u [ n ] - u [ n - 3]. The 5-point sequence y 5 [ n ] is computed as the 5-pt inverse DFT of the product Y N ( k ) = X N ( k ) H N ( k ). Write out the 5 numerical values of y 5 [ n ] in sequence form as { y 5 [0] ,y 5 [1] ,y 5 [2] ,y 5 [3] ,y 5 [4] } . 2
Image of page 2
(b) With X N ( k ) computed as the 8-pt DFT of x [ n ] = u [ n ] - u [ n - 5] and H N ( k ) computed as the 8-pt DFT of h [ n ] = u [ n ] - u [ n - 3]. The 8-point sequence y 8 [ n ] is computed as the 8-pt inverse DFT of the product Y
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern