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3015_Homework_6_Solutions (1)

# 3015_Homework_6_Solutions (1) - 3.48 Use the deﬁning...

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Unformatted text preview: 3.48. Use the deﬁning equetiou: for the MEG coefﬁcients to ex'eluete- the DTFS representation: for the following signals. [‘3 :r 1?: 19,539: El r[n.] = 23in§Enj+ooell§ Maj-ﬁn _ é—Jﬁrn] + ger‘h‘n + g—}1Fn‘ﬁ]+ 1 J nj+1 _j€j-IﬂI-%J1 + jig-21%;" + agar-tan + ere—aa-ﬁn] + HIDE-in By inepeotiocn % t=—5 _;i ﬁc=—2 1 ﬁc=|I| XE: H —_;i }.:=2 % e=5 El otherwiee onﬁc= {'EI.—E:...:'E|} [dj Ifn] as depicted in Figure PHASE] N = 3. o. = e X [56] I1. 1 E Z ﬁnk—1*?" :I1——3 E _Tsinl:_%}.;j s; e {—3. _2: ...:4} 1 [_€-_1[-"~]&k + E—Jmek] 3.49. Use the deﬁnition of the DTFS to determine the time-domain signals represented by the following DTFE coefﬁcients. [f] XH] as depicted in Figure P3.4Q[o} .5; = 15, on = ﬁ 29: Hide-“41'” 1.2—4 I [e] 4. Z i _ji'k'€.1kﬁ n Je——d = e L: :5 1— c1TI:%-E_%] - -§|. 2 1- kaT T: - ‘ng mast-2r: — s; 3.54. Use the deﬁning equation for the FT to erx'sluste the frequency-domain representations for the following signals. [s] IQ} = €_2tﬂl;t — 3] DID XUu-J f :[tje ‘1'“ d: m f e_2=e_-1""': d: 3 E— 2-:ﬂ+_1-...u:- 2+};- [1'] m; as depicted in. Figure P354 (b) ngu-jl H l“*- I: ﬁll. n. I La. 5; & + itch-“*1 n "'1 J. n I l: n." H- II + 3.55. Use the equation describing the FT representation to deternnne the time-domain signals oon'ee sponding to the following FT‘s. Lb; Xena = We:th 1 m 2395'»! d; .t = _ _ I .11 j 2F 0 e (d) Xﬁjwj as depicted in Figure- P355 [3] 2 Ill-t} = ﬁ —2 E—Jﬂme—Jaﬂ d“) _ sinﬁﬂﬁt — 2}] _ rrl'lt — 2] . “E El??? t #2 II“ = 1 :=:-'. .r ...
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