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Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2009
University of Illinois ' Allen, Basar, Trick Exam 2 Thursday, October 22, 2009 —— 7:008:15 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
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(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.
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circuit voltage Vn (phasor) and the Thevenin equivalent impedance at
terminals ab. 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 ab is necessary to receive the maximum available power? dated v 1
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: — We =—e——— Mil VX2525: ’7’” M) r w Problem 3 (a) Determine the frequency response H(co) = % for the following circuit. flu) 2
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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 =____.____
() 4m2+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
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#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.
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Given the Fourier series f(t) = ——°— + 2(ancos n (OOHbnsin n (not) w I 77— x/O r/ 2 n=1 '1‘ 6) I: .r 3 ' 5
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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;
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 Fall '08
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 Signal Processing, LTI system theory, Impulse response, A Closed Book

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