ps5_solns - fol“ lie/41 Michigan State University...

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Unformatted text preview: fol“ lie/41 Michigan State University Department of Electrical and Computer Engineering ECE 366 INTRODUCTION TO SIGNAL PROCESSING Problem Set 5 Spring 2011 Issued: Friday, February 11, 2011 Due: Friday (8:00am), February 18, 2011 1. Sketch the exponential Fourier Series (EFS) and compact trigonometric Fourier Series (CTFS) line spectra for the signal in Fig. P6.1-1b. Comment on the symmetry of Dn for the signals in Figs. P6.1-1bc. (Use your results from Problem Set 4 for this problem!) 2. Find the trigonometric Fourier Series (TFS) for the signals in Figs. P6.1~1b and P6.1-3. Why does the former TFS include no sine terms? 3. Problem 6.1-7cdh in Lathi 4. Problem 6.3-9 in Lathi ' E a: 3w HI 50mm For (4344(0) SKKCQ 4Q?) Ls. VQOV(‘+QUQVL / ‘Dm \9 (\cOJ ‘FQULW' Furfikul 02, ;%;SL LS ‘Hu; querwa dodwp For ?GL(“(C1 S(NCQ 'F'C‘f') LS Peal / SD“ LS cok&u%op+e_§«0MMdflC QC.) WHOM! $411K:— 'Mm), Vorflu/ Db " %—L S J; (S ‘er CLUUOLQOC UOJVQ. 3) $0? PQJ" H0) mg) Kc)” %' 0%., ; \lfiWkCCEgrU [COS(OOrTl-> : BgSU/Lcctg ) “Qt/a" \DK: ’1 (\T—JmeCEE—T>[SW\ C30$TT> 1: O (\2\/&/ “Hug TF5 aloe»? kO‘f (.vgcJLLer 67km +LPM-S y[c —€C+§ LS‘ every! J For PéA-S/ \ \(XC‘f) ~ I M “N ~ . ’ IT ’1; :2 1'! + WSQ ’{lbflvwkbksi kéc+>l OLD J“ EQKCDS («@501' :bk Skk(ww°‘+) IL;\ Kr: To ‘0 _ 3.. j a 4v) SWCVWLTBM n: lJZN (k, To ’\-c / So, To :g :5 W0: % Li: »+ ,2 yr «E’g‘g’éf’; 0L0=11A ogefis’fia a,“ W G. a E 3 %—- .frrgb: "COS Cmq'f) +161 QMCWLHJ) D 7%? if: tcos<m>+w wow) 1,9 L; Owc I'— n :l 1, 1T lHLU’ / / T7” 5 1 La ’- 3 «[- SKMQTmL/e (x I}: 039, tVLOx‘i / ._+ :1— : fir? (“S‘W<~q+)‘m°s<~“)> 2 ~11 ’5 1 _, .‘L -— Zn : :1ng W1 SULCn 17> VLVCOSCN , /1,._ P , o) {1; Hum» MKLOJ k“, cosC) ,Tf‘ fl” 1,193. “A 1 fl [+(ékz / ) J TMS ) w. H (70 (a ’62 C ._ 'E u I' '1 gal—‘51“ WU)“ %’%Q * 2r 277%;303CW)* mu MLfi 5wx.Cc:re.J‘+‘cL?'O [ecsvas 40¢ «55% %VLLK% Swgk q +LOLkow£ Q?o\0(_e,m( Gym J SiLU‘f/L,% k b A:ng “k “leaf 0“ + +(’\kd\ CQKU s Okqugw MW kowm beam. LOL, (24‘ “B 3) M1») (3/; IPQJ‘LOOLLC JL%M3 Oouu LIL FL{PQ$Q‘~«+(/ b‘fiI‘PDUCkef/(U SQJLQSJ/“Wa ficmuiumux 07" Coxc/cx KCU‘MDKLQ Red +0 5Q McL+L§6&p MULK‘f/kplhg 0-? I—HL ‘PUKCJKMUCHL/ ‘Hqumw ‘ {A363, ' ~ ' ' So/ (pp/(COD ._> %:%[5.AP%+LOAOLQ# Wa_>mw© / t D‘ Tug.) ‘L—f’ +Lm Fod‘kb 0-? ‘FPUWMQIQJ :5 deml fie, S (SbNa/C LS \PLfLoohC, Akok/ ’HvL PLnod / LS C>6Luu~ \DUQ 'HxL QCFo-P‘HAQ firmfiuQLQI—Lj) GD (3 IMGUV) +IM (H001 ' Giannaéw + mam + 6mm) may, MAL 4fka LoLLIxA’Ul’ULS Wkng (4L B‘Q-Q {k fi;_iCL-cb§@’f>>+ 3L-<[~cos((0+))+ Q £cOs(s+)-£w(gj : L(.§"L(.§LOSQ{/+)*O.§ -o,ScosUOf>+3LoS (3+)-3co30fl S’ (MOM) «5 Co? (1%) — o , rcoqoo—Q S67 ‘kua cue ‘PVLQOJMttzJ ac? 0/91/3920 Skkco‘ ‘HNL Vod'xw "WPOLU PKU‘F (VP 'FNULUQauej 0J2 mafbfitflijig-fisfluwd \S i g +SCOSL3’\>“L wwea ’0,“ L‘) V9 “V51” puw‘T 26) : éflw U 3 V0: Out/“WT e°w°+ 0’) A760 So} Cowmrxkk 0) w/ 05/ 6 ‘ 0 {Juan— m ' (k K KUQMJmoU 03? (L6le \‘On ; CWQGKLK+L°J \S UILFLJK \S 5(DQkF4LS‘WU‘Q‘FCJV6 LONG/\QSSQo/(K ’FFQJQLUsL/KQfi (“3(0wa ‘PFRBLULNQ(QS)’/ UK”) \l f“? (x S ngkox/L \S QOWF{$XQO! UL ’JNWLQ/ L+k3 'PKS+L(°{’ (S ‘HxU‘SL-Fora QJKPNUXko/j V\ ’9‘ (“\VQvNQ UK (fikkgkd *FFUV/thuu‘)! ...
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