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 120 points (including 10 points 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.

Guidelines:

GIve up to 60 points for Question 1.

Give 5 points for obtaining the correct $ X(f) $ (including a correct justification), 10 points for the correct mathematical expression for $ X_1(\omega) $ (including a correct justification), and 10 points for the correct graph of $ X_1(\omega) $ (make sure the axes are correctly labeled).

Give 10 points for the correct mathematical expression for $ X_1(\omega) $ (with a correct 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 that they both sound like a pure, but different, frequency.

Give up to 50 points for Question 2 (10 points per signal). Only give full credit if the answer is justified, and if all steps are correct and logical. In particular, make sure that the ROC is obtained as part of the computation of the series sum (see your course notes, as I pointed this out very clearly in class), and not merely plugged in at the end of the computation without any justification.

Give up to 10 points for presentation. Justify the number of points given.

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.

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