{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

09F_210Exam2_solns - ECE 210/211 Analog Signal Processing...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Image of page 2
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
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2009 University of Illinois ' Allen, Basar, Trick Exam 2 Thursday, October 22, 2009 —— 7:00-8:15 PM Section: circle one Class: ECE 210 ECE 211 circle one Please clearly PRINT your name IN CAPITAL LETTERS and circle your section in the boxes above. This is a closed book and closed notes exam. Calculators are not allowed. Please show all your work. Backs of pages may be used for scratch work if necessary. All answers should include units wherever appropriate. Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4,(25 points) 1 Total (100 points) Problem 1 (a) Compute the phasors associated with three signals below. = ' 2 ~ 'é0b -‘l' ° 2 f1(t) 251n(t+.6) I F1: ‘2 e; :2 C :2 ‘60 C 3 : :2. eox({;+rr£_fl0 =— a 0 - '1"... W 2cm £1315?) =1 m f3(t)=sin2t+Cos 2t _ - A's/6:" - (fir/‘6 0 Z f= :iu: I—Jzfilj’s" FF we =55” C) J (b) In the following circuit, find lVl and AV . (c) For the following signals, find period, fundamental frequency and average power for a IQ resistor. z a 7. _ , V—_ n— 9 _ 2. 5‘ wa‘sré/ I ‘ 37—51 levy” (fiiéfiii (6) (i) f(t)=2Cos 10t+5 sin 1005t : Z 4. 254 : xzfld T: 'S , (Do: Pav= (4) (ii) f(t)=8+6Cos6t+6Cos(9t445°)‘ T: £77753 (no: 3P5 PW: W,;5y€jf=?37f5 _ 2 [a Z .0; L— :. W )7 _ (g) + - MAL/em; av Problem 2 (a) For the given circuit find the open circuit voltage Vn (phasor) and the Thevenin equivalent impedance at terminals a-b. First draw the phasor circuit in the box, then find V0 and , —— ‘2(5”o +J5’0l (b) What is the maximum available average power from the source, and what load impedance ZL connected to terminals a-b is necessary to receive the maximum available power? dated v 1 ,. w; E’s21m; y“) 4x/3’0 w McIchle {gm/W £1. 3 ET '3 0V; ASZ’ [MKK'ZL feVMCM/K M4“ “Veizi/a£l€ ITIOWCV 85' *7 " 7' 6‘ :1— : —- We =—e——— Mil VX2525: ’7’” M) r w Problem 3 (a) Determine the frequency response H(co) = % for the following circuit. flu) 2- y .4 7; : /+J 2: / /+JZ‘”+ @sz ([+J‘1w)(’+\/‘2L9{‘I s ' '/ Luz/4,24. J‘fi’uJH .2- ¢w1+j¢w mm): .2 —¢Lo"+4/ I‘m (b) Frequency response function of an LTI system is given as jm Hm =____.____ () 4-m2+3jco (i) Find its magnitude |H(co)l and sketch the magnitude spectrum for w _>_ 0. HCO) = O H/ 7—) = = g/ ]H(co)| moo)! = 14 v a, F J" .50 #0)” "34‘; fl 0 2 0) (ii) If f(t) = 2 + 5 Cos tfor this system, what is y(t) ? - - 5%) = mm + xywflyfl) Problem 4 Justify your answers or no credit. (3) It can be shown that the Fourier coefficients for this waveform are Fn = i cosnn,n=:t1,:t2,etc. mt a ‘1’ T Given the Fourier series f(t) = ——°— + 2(ancos n (OOH-bnsin n (not) w I 77— x/O r/ 2 n=1 '1‘ 6) I: .r 3 ' 5 3 a0 7' ‘- 0» 2. --1 q I. L , . wflw £25.10, 7609) 4&9 041 car asp-<9 ~ ' , 3i emtqéi A? i m E ii“ 3; C} 229 I F; : ‘1 162.: (b) Repeat Part (a) for this modified waveform. (c) Repeat Part (a) for this modified waveform. (465): Ht i150); 140:7; ’72: I; 6‘5"?“ view” 40 ’3: : _Z//f (wag bf "if, ...
View Full 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