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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§ Majﬁn _ é—Jﬁrn] + ger‘h‘n + g—}1Fn‘ﬁ]+ 1
J nj+1 _j€jIﬂI%J1 + jig21%;" + agartan + ere—aaﬁn] + HIDEin 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 timedomain 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 mast2r: — s; 3.54. Use the deﬁning equation for the FT to erx'sluste the frequencydomain representations for the
following signals.
[s] IQ} = €_2tﬂl;t — 3] DID
XUuJ 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) ngujl H
l“*
I: ﬁll. n. I
La.
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itch“*1
n
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J.
n
I
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n."
H II
+ 3.55. Use the equation describing the FT representation to deternnne the timedomain 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
Illt} = ﬁ —2 E—Jﬂme—Jaﬂ d“)
_ sinﬁﬂﬁt — 2}]
_ rrl'lt — 2]
. “E El??? t #2
II“ = 1 :=:'.
.r ...
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 Fall '08
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