Homework 3, ECE438, Fall 2010, Prof. Boutin
Due Wednesday September 15, 2010.
Question 1
Take the five z-transforms you obtained in Question 2 of Homework 2 and invert them. Hand in a hard copy of your homework in class (by 4:20pm, Wednesday September 15).
You may post your answers on this page for collective discussion/comments (but this is optional).
Question 2
Go to your Rhea dropbox and grade the homework that was assigned to you. Give a grade out of 100 points (including 5 point for presentation) and provide detailed comments to justify the grade given. Note all mistakes you see and follow the guidelines below to assign your grade. Check if the explanation given is clear and logical: do not give points for merely stating the answer without explanation. Comment on the presentation of the homework and the reason for the presentation grade given. If plagiarism occurred, assign a grade of zero and justify your plagiarism claim.
- Guideline:
- Assign up to 40 points for Question 1. Give 5 points for obtaining the correct $ X(f) $ (with justification) 10 points for the mathematical expression of $ X_1(\omega) $ (with justification) and 10 points for the correct graph of $ X_1(\omega) $ (make sure the axes are correctly labeled). Give 10 points for the mathematical expression of $ X_1(\omega) $ (with justification) and 10 points for the correct graph of $ X_1(\omega) $ (make sure the axes are correctly labeled). Give 5 points for stating that $ X_1(\omega) $ on the interval $ -\pi \leq \omega <\pi $ has exactly the same shape as $ X(f) $ (but rescaled and with a different amplitude). Give 5 points for stating that $ X_1(\omega) $ is periodic, but $ X(f) $ is not periodic. Give 5 points for stating that $ X_1(\omega) $ and $ X_2(\omega) $ are both periodic with period $ 2 \pi $, and
on the interval $ -\pi \leq \omega <\pi $ has exactly the same shape as $ X(f) $ (but rescaled and with a different amplitude).
Give 20 points for the mathematical expressions of the DTFT (10 points for each DTFT) and 20 points for the graphs (10 points for each graph
Make sure all graphs have a title and axis label.
- Assign up to 50 points for Question 2 (10 points per signal).
Will come as soon as the solution of HW2 has been posted.
Your review is due by 6pm on Wednesday September 15, 2010.
Note: The following students correctly handed in their scanned homework in the "Homework 2" dropbox, and will therefore be assigned a review by Rhea's peer review system.
- Hirawan, Ewoeckel, Mmohdasr, Jwkauffm, Dparekh, Mwolfer, Lu90, Tan5, Kiler, Kstefan, Jtiong, Jjhaver, Ntjohn, Ckleppin, Mmuckley, Dparekh, Shim0, Whaywood, Asareen, Yoon47, Ajfunche, Thompso7, Mpardi, Bnowak, Skirkpat.
(I believe those who submitted twice will get two homework to reviews, and will get two review back. Please talk to me if you are in this situation.)
The following students handed in their homework in my dropbox, and will therefore need to do the peer review the traditional fashion. (I will bring you a homework to review in class on Friday.)
- Vgokhale, Ksoong, Rrego.
