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Unformatted text preview: Midterm #1 of ECE301, Prof. Wang’s section
6:30w7:30pm Thursday, February 2, 2012, FRNY G140, . Please make sure that it is your name printed on the exam booklet. Enter your
student ID number, e—mail address, and signature in the space provided on this page, NOW!
. This is a closed book exam. . This exam contains multiple choice questions and work—out questions. For multiple
choice questions, there is no need to justify your answers. You have one hour to
complete it. The students are suggested not spending too much time on a single
question, and working on those that you know how to solve. . There are 10 pages in the exam booklet. Use the back of each page for rough work. . Neither calculators nor help sheets are allowed. Name: Qibfx’ilkg m (a
\ Student ID:
E—mail: Signature: Question 1: [20%, Work—out question, Outcomes 17 and 3] is e_(1+2j)” if 1 S n g 20,
andix‘in] = 0 otherwise. Ll is the unit step signal. Compute the expression of yin] = Z xikiuin  1?]
Icz—oo
You may need the following formula:
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Q 9“"; a.» {:3 W i: 0 Question 2: [15%, Work—out question, Outcome 5] x(t) = e‘ﬁ't if 5 g t, and 23(t) = 0 otherwise. Compute the expression of A DC) \ m 630 ~
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(g 3 Q“ 7‘1”ka CE“? KM} Question 3: [20%, Work—out question, Outcomes 1 and 5] 33(25) 2 1 if —1 g t g 1 and
1305) = 0 otherwise. Let 1.
2.
3. yin] : i z<t>e“j~“%“tdt <2) [5%] Find the value of [10%] Find the expression of in terms of n when n 75 0. [5%] Plot y[n] for the range of —2 g n g 2. a z“ .w ,1 i p E ‘1 3\
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Ll[n +1] — “[71 — 2] and = —2:1:[2 — 1. [5%] Plot for the range of —4 g n g 4.
2. [5%] Find the total energy of 3. [5%] Plot y[n] for the range of —4 g n g 4. , w M at” ‘ K r W} h 9‘ ]
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wa—Q»~un4~ Meg.” wmgwww m w s, m? M t Question 5: [15%, Work—out question, Outcome 1] Let 2 LI and 3/[71] :2 ZZ:_OO o [5%] Plot Mn] for the range of —2 g n g 2. Denote the even and odd parts of by xeven and xodd[n], respectively.
0 [5%] Plot xeven for the range of *2 S n S 2. o [5%] Plot :codd for the range of ~2 g n g 2. m a fix
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r 7;]; w 742/ Question 6: [20%, Multiple Choices] The following questions are multiple—choice questions
and there is no need to justify your answers. Consider two continuous—time signals: $10?) : sin(eltl)
ejt(cos(2t) + sin(3t)) R
N)
A W
V H 5133 2 sin(7rn3) + cos(7m)
334 = 71262".
1. [10%, Outcome 1] For $105) to $4M, determine whether it is periodic or not, respec—
tively. If it is periodic, write down the fundamental period. Please state explicitly
which signal is periodic and which is not. 2. [10%, Outcome 1] For 961(t) to 334M, determine whether it is even or odd or neither
of them, respectively. Please state explicitly which signal is even, which is odd, and
which is neither. aims
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This note was uploaded on 02/12/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Spring '06 term at Purdue UniversityWest Lafayette.
 Spring '06
 V."Ragu"Balakrishnan

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