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ECET 304 Final - 200 pts
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Table of Besse! Function Factors
Index_| Carrier Side Frequency Pairs
a | | 3 | | YY | CO CY,
0.00. 1.00
0.25 0.98 0.12
0.5 0.94 0.24 0,03 -
1.0 0.77 0.44 0.11 0.02
15 0.51 0.56 0.23 0.05, 0.01 7
2.0 0.22 0.58 0.35 0.13 0.03
24 9 0.52 0,43 9,20 0.06 0.02
- yt
d(x" )=m""'dx fran n#-l
d(e)=e'dx fear=e*
(sin x) = cosx-dx foinx-dx=—cosx
d(cosx) =—sinx-dx foosx-dr=sin x
2.5 0.05 05 OAS 0.22 0.07 0.02
Fourfer Series Summary
Sine-Cosine
Form:
att) A, +E (4, onlay) 8, anf). = Ia f= z
Cosficient | 4 oF ff a0 costae} B= 2 ff xip-sin(nay)ar
Table of Fourier Series
‘Signal x0)
Fourier series
Ll =
Full-wave rectified cosine
VYVYYY. (ra Zeosay- 2 cosroy + 2c t+.
a 1s He 5g OSI
3
Y
:
Vv 1 i 1
7 {cos ~ zoessaye + poossat — zoos Toe +)
8. (cosa + conden + 2 cossey+
x a) u" 25 oe
“Lie |
Sawtooth Wave
{si ar 1 gin dag + sind - dein Aas...
2 3 4
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emer
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Spring 2005 Name:
dB =10log' Fa am = 10og( 2 K =1.38x10™ J/K Boltzmann's constant
P, Im
N=KTB Tegan
+e +e +e?
%THD = (B85 40h oanD= "x10
ra &
S/N, - -
S.N,= AS, py LN nt F-R+ 1 Ari, Ae-t
AN, +N, "SN pu 4 4A, 4A,
87 5.986h
NE, = S/N ip, (4B) — SIN, aB Zaz eh| ———
IN sy (4B) S1N rg (28) ° ve, +141 (2)
Basic a(t)
=Q, = A -10R Q, = 2, = i
=0,-R, Xp =—l_
sis ae é "2a 7 taf X,
High Pass Configuration: Low Pass Configuration:
xs xs
Reo R, Rs IH Ry x, x,
By oN mma By Ryo Ry
xp x, (" l x,
Matching Complex Loads — match 2 complex load to a resistive source
1. Absorption — absorb reactance into the matching network.
2. Resonance - compensate for stray reactance with an equal and opposite reactance at the resonant
frequency.
Low-O and wideband Matching networks:
R= RR, o- } OR o- (42)-1
‘small ¥
High Q and narrow bandwidth matching networks
T-Network: ‘Start with the source-side then work the load-side ‘flipped’
R,=R,(Q@' +1) > O= (
x-Network: ‘Start with the load-side then work the source-side ‘flipped’
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Spring 2005 Name:
ee) 8. For the AM DSBEC, calculate the following: Box in answers. (9 pts)
a Bed (254195) =[13,275y *
175 ¥,
& Reg (US- (IS)=Hl LAS
{62S -[eoa27 \
. Mt TFE76 1 SOA2R
x 9. For the AM DSBFC envelope with M=77.2%, determine the total power into a 75Q load. (10 pts).
M k > m ~%
Liege
1
Je $ Ate, e = ae Z V1S+2,28) iw
bln” © we es > 60
cone, ae
\ pe wso( 1) = Sat
pe +844 w
10. From the given list of 7 items, write the correct answer to the following criteria in the blank provided
(answers may be used more than once) (10 pts) |
ASK ESK BPSK QPSK QAM None ll
a. Digital modulation using amplitude only;__ ASI
b. Digital modulation using sroplitude and phase:_ PAM, li]
c. Digital modulation using four phases only: OPS ie L
4. Uses a tibit or quadbit to set the digital content:_ CpAM
0
@
e. Also known as IQ modulation: ALL
1. Determine the baud sate of a FSK signal with a f,=50kHz, {7-41 and a bit rate of 8kbps? (4pts)
a. 12kbaud c. Adkbaud Uck-SdL) + 2(ge) = UtIb Yee
b. 20kbaud 4 112kbaud
board. © A 20% bad
12, Calculate the min, bandwidth for a BPSK modulator with f(=150MHz and input bit rate of 250kbps. (4pts)
a, 125kHz ¢. 75MHz Zeotbeps = BO. 25016
Ch. 250KHE> . 1S0MHz !
13. How many symbols are shown in the QAM constellation diagram shown to the right? (4pts) °
a 2 c 6 Meesnreseneee
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oN 14, AFM short wave receiver uses fip=5.5MHz, has a preselector with a Q=55 and is tuned to 43.5MHz.
i) Using high-side injection, determine: (10pts) @
a. The image frequency of the receiver.
Fimege © fue *2he =4ESmt late Somage™ Su. Sake
b, The value of the IFRR.
Tree = liege =Yiigsrluwy® « 25,00
Spring 2005 Name:
WS gs =|
€ > aE 7 es ZS7A 9487 YSU IFRR= ZS
'
15, The following system has S/N j.,, = 504B, Nia =1* 107" W , and a 50Q load, determine: (10 pts)
Amp tp 312,
S/N, —> Ct | [> 5/N,
Ny =98¥
© Sty (4)
whe 250d@ ® Ib ”°=le0,c00
OQ Biv lee coo inj W) = OOM W Sya=_ 100 Aw
4. SIN gay, (4B) e
_ beSi - guzal teoeW) = 2b 0ce.
ox = bedithe Grez.sy( ici) 440w ‘ 4
- 44
dBelo leg Caeee0.9) = 4U.15 SIN sap 41S
& NF © SK, @3)- Si (ds) = S0-Hhis =S8S NF~_ $B w
16. Compute the trace width required for a 502 characteristic impedance (Za) using a 30 mil thick, TMMA-
rca ee Ne (12 pts) h=3o. 1
(ERY bh in (oe Seve (30) bey vm
5 n - b..:
tenn CRW tt | Gon Eerie , i = (S.6mi)
{79,
So >25.98S In (aes)
er" = as
OO TEWNS
Gswrise) = SS— 2747
)* Cae we (B26 a Ge
il
-BWwlb.e 2 W=)3.26 — pagesors -
. Spring 2005 Name,
e@ 17, Match a 302 source to a 502 load at 70MHz. Use a single L-network and low pass configuration. Draw
y} the complete circuit schematic. (Opts)
“2-1 = SIS
% = (pb, 2 S165 BO) # BAAS
Le BRET = 85"oh os
B.S 2
*P oe” ses © ot Mow
B20. — ..65.Mnlt
Cc entyoryei24) = BFF
18. Match a 1502 source to a 75Q load with a loaded Q=15 at 125MHz. Use a high pass configuration. Draw
the complete circuit schematic. (25pts) .
Source lary , load small DN network, hgh pass
& ns. ReASon Xs, Xe
we. TW.
a \*Q Leis® 339 5
head~side Bost: % Bt aS BeBe
C) Kg, > @ly= 15 (389 = 498.0
° : Ry Ke
Cia ikgs” maCiesmy(4FE) 7 285: &pF
Kee ee ee 1s
moe Tee 5 a
= = ganna
L> (am) nero
Souece - SIDE (Fge®)D 7 .
Gale) = 2124
“3B
Xs,= BQ = SBAL DI) = 1.05.
C= satemtte® = [8O.beF
Xps Fee E06
*Q Bia
= 206 4nk
f vo 2n(nsm) BMAn
Qe
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