exam3soln

# exam3soln - EEE 203 Exam 3 This is a closed book closed...

This preview shows pages 1–6. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

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

Unformatted text preview: EEE 203: Exam 3 April 23, 2009 This is a closed book, closed notes exam. You are allowed one cheat—sheet. to get full credit. Good Luck I Please Show all work 1. Consider the following interconnection of discrete—time LTI systems. If h1[n] = (0.5)” is Hﬁej‘“)? If MM 2 cos(0.27rn), What is Hﬁejw)? What is H(ej“’)? Lgvi’b‘V 14) 7 “9m 4 Mn], what “*3 M ‘ 9:11 i410?) )3 #1,“ #WO‘ Pages” hgiﬂ] : 03\$ (ED-211%,) w 142(9)”) 2ﬁ<sgmwo2® + \$010+ can» £391,504 2n _ kiwi-MSW W] 33: LnCéMMCe“) = We“) Wow) : Ti 1»— Y 3 (on 43:21?) «iv gape-man )] \Ovﬁ LE" 2. (1) Compute the Discrete Time Fourier Transform( (DTFT) of the signal shown below. 5')? CA 11:11] W MWM am PM? #4471?” N 1‘ min? M 3W (00 ('2 +15) : £13 \$72) 113“] .5 «E31: En .,., \1 ém-w‘v E? “.300 . Amp” ééﬁ) ﬁma ﬂ N ‘2. mE—h] ém% 1 {mm 10‘?’6 3. Compute the Nyquist rate of the signal \$(t) = ( sampled at T = 0.25 millisecond. ~gaoOﬁ' Sin! 20007rt) 7rt )2. Plot the Spectrum if the signal is gum [2000 n ‘0 4.(i) If 33(t ) is a signal with Nyquist rate can, what 15 the Nyquist rate of the signal 32(t) cos (wot)? MLW; HWQT—WW O 030[\ y‘aWEg/wa ”WW9 [\5000/ (ii) The frequency spectrum of a signal is shown below. Plot the sﬁectrum if the sampling frequency is 100w. How much of the signal can be completely recovered? X003) 1... ‘ , 211 a {non 5.0 7:50 5.(i) The Continuous Time Fourier Transform of a signal 33(t) is given by X (jw) = sinc(w/2). What is LIEU“)? 2T1 4'9“! (W?) W H7 as ‘ “ﬂ T! If???“ _ ,4va [DJ/L) Q a wesii fxgéﬁe L06E+DQD““!A€L Vi) (ii) A signal has the impulse train spectrum X ( jw) shown below. Comment on whether the signal is (a) periodic, (b) even/odd. Add a brief justiﬁcation in each case. XQw) ":2— -—l O 1 2- (a) {:th :m PMOW gdvmol'i‘w’ ”L“ mm W as pmm (wow 1M 41‘m oiOMW‘ m) : Awe-4; +%m2t a» ammo-3w) “9mm ,1: s? fiﬁlﬁ XC%) ”@ %¥m9ﬁuq ...
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