MT1SOL - Midterm #1 of ECE301, Prof. Wang’s section...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

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: K K - 13—1 _ a“ " 7’ ) 1f7" 751, then gar — (1) ‘3 if‘a 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 ~ g 45:3: w my; L 2‘ ,, fiat”; «w 2“ i P ": fl “ A» E J é ? 3 Q s w W» 5 53 fig: ”' “‘3; g: a: ’ f ‘ o u i w s *3 “f * 0E3 ( .. r: €39 mgwgiakj; wa N AW‘ ? Q £5) m, “Y :2 x g K g “ 0 w N M W" W § 5 .’ x, w» w \“3? _ N (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\ gritfiwi : j; {554* ([72» ’- ”“ E 3 a]? 3‘; -~—r [ { r\ a; “M a e M a? ‘ w my] .1 m "4:1 [a] ,W I» w P E gig A» & ’Dm’ i m 7 Mme; ‘4? 21‘“ it ‘ ,t E i Qwssfi g 5 [ Q 1 1“ "W ‘ Z n , WNW ‘52” £4 6% L51 [‘ i 3.3;; fig". ‘ “m 5E» “‘1 » “WK: “HWJ~ ‘ 2., ,_ f [ fléj " Q E 2 MC“ "x “f? r -“ “Am-m I; 1. MW; 6“ it , fir 1 i Question 4: [15%, Work—out question, Outcomes 1 and 4] We know that = (5[n w 1] + 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‘ ] IE“ Kiwi“ :2“ *WME 4213—»; : (9%»1 [a [:vajeéim A (My 1 w w.» w. .fl (En/1&1; I gave/:31“: "(yeah/g a; $4,421. *2] ’[é * s i e 9 2 E “ z i 11111 7/&~~ewm *» “wgflflw J; @mevmw‘, _ 2. m '[f ,% ‘11; m; 6 fig ‘3 g '3]? C223 W\ E i m .1 W \ w w fi 5 ‘, Zr“ Eva» “] ““ “‘é [2}:5'» :3? m” a“? 3‘ «a W was 5 (:4 a m F I q M “In ‘1 if: it? mi y: worgaf arms/K”! E affix"? 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 / z “an”: W» E ? 1‘ / ‘ w v at E p .. ' ,1 it Vs :7 LL o; w mg, g E g 470:5 hcfi‘wod : i ‘ f a: w? m ,1 a Efl—H w 2 m \ '2- E x K - :2 E ’ [Wm “fix L \ '5 M4,” m» n w}? {A 16:53 O m < :3 r1 wt 0 “t "- W R gag ‘ X; {if a, of} “y p mm M S xv gw “um W‘; Va ‘ J W" ‘ v’ V19! V Miiwwwww “(MKLWTMLMW y/wwmmg‘W/M; if; V1 —% O k '3” : é P sat x; J A» if? if; 4:. WMWW,,o..‘,..\_.ww.t,.v.x “‘1'; a q wqmgufib MMVWMMMQMM w mwMaE H E ’ {3 § “It ,s g, E 3 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 74 (as {l' N J» K 5 a meet,» genitalia: . “if?” :3 V i» W"; misfit?“ will; “:4” f “fl 3 . . i; r .5 5‘. \b6 \. «A agarhgéla “‘i’m Lag- .» c q ,,t l1 4 "‘ , ‘ é. i"? M "l was}: z i i i ‘ 1’ tire) , , Beam . 12 iii? } is we Ringo r g by“ r. M‘ 3 l : m. r}; W w “a X i E W M J i k v f «if f g (A Mi i” d o Matilde?" ...
View Full Document

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 University-West Lafayette.

Page1 / 7

MT1SOL - Midterm #1 of ECE301, Prof. Wang’s section...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online