EECE 442 Exam 2, Fall 2003
American University of Beirut · Communication Systems · 10 pages
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Du'z ft be SebuT 5H ,W0.1003-04
Froblem #1
Tk béé rat. ee FCM Es:
Bong Samp ling tah xty L
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= ax ¢o00x4 (A5é= zg = 6% 200 bibs face, |
1/7 samples (aI~ wu. DM needs, LA pneple y Gy be.
ao-high an possible th order & puitify Mee tite. ef Zito
zien buh, Hence, Sinoe. Ha fplrcemutl of
Pom ( by DM skull rel Cal G ¢ highrtrani IY 44
bondi: dh, Han. Me. sermglirg ratte. Hal ds needed. DM |
“s SY, 000 Semple pee. = SxMy geal (ale This c's
LG He bz (dee ua PM ahd. fores__teaslts le,
om of
Ah. Same Cans miss bandit. agen FCM,
Fioblem #2
Te tendidtin. that nesche te ba. sabicfredte avert. slope
Vitload disltsrtox 45!
secrbtesnermserp-maparse
AY TUAX AME) | = ppatlin um sGpe pie me Pape
&s dt lal
| War ini i wnt) _ loo _ ols
la A = Soa 50 serpy,
Bt pe. Lpdedl a: sate Hal. cau: ba toad ts gun
Co fhe. Vim vale, 48, $000 sample fee « Mente |
PY f” He Senplily der 64, 000 semplay, Ce S200 |
Sampler fuce Shick tan be Leash tn preriiple beck pit
Ate pracktce, Kan A naki'muim. Salary. cn Ke_Crene—
ulssin bandwill 13 byo0e - 8000 = FE, 200 Hz
oy 56 Kz.
i
Tipblia#& 3
Fort Wael sevirg ta the. LranSmfE4 a hondily
tpual 50 kK ie © be. ackiwed, tle hotel!
_ 64 200 - 62,000 = (4,009 samples flec.:
ls "joe
= rma pak LINILIM slope. ff mle = 5
=pA= [00 = 7/4. mV.
/4, 000
Th. mini nteam a heute. brans nivsion bardused Me's
/akKHz Wh carrtepanche LB 14 Kesamplos [dex
fente, fee Samp lig rile ts epual lo LFS a Ngee st
vale f sempliry:
Te Saingling vate of /. 25x My geist rate eo nd Se bi,
forse ae OM % geilehy Ke fact thal we mb tare |
live pra iaatin brclo, Netually, cx DIM Ke Sanpliig |
tats needs t be much higher Her He. Myg ee st ial, AL th |
A
G oblacr avery tagh correla sx. betes. t0y ach}
ard fence. prove 2 vesy salle dy name’ range of the
ateal Samples
Fa blem #4
m, (t) = 4. cos (go Te/ + of cos (2007€)
; _ +
m, @) bor 060 (loot) + A Ce) (2007FZ),
M, (oa)
AN — AX AW
aw
° [oof ool
M,(~)
US emp
¢t
Chan U5 fee. tarde Ue M, (ce): his means feet m, A) Kaw
a smoother Lins Lain behav vor fhon M, Fe)- Pheer, he
Wak nil slipe af 14, 00 “s small then He. taprn'ntem
stipe fm ().
y A am lt
Mas) wig “He and he Z2 mar a4 |. we
Con concltde— Mat siquad my, Ce) (pects 2 Smeller—
AZ Wn de $ lope WarLoad. Astartux.,
v/a fob abi retire pracedure tan elae be- teed
dm @
dt
=|t2er se (to0rt) + 4od H s'n(20oTd)
apie = 4 sen (100 7k) + si(20or)|
dt
Obvie sly, Ke Maximum value of |Luo/[de / Ly
Smaller fhan fhe. Maks' mum value of | L m, CO pp, od.
M4) Opel a smollr hh Ge avd spe wer brad
dylan,
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frobam #6 |
cM A DPCM A 5} |
Cb he the. tambo bobs por comple te PCM |
_ #4 _ gh _#-/
=> a= and “Spm = = :
fo a Vace E¢pral ot tke bart tl ack. Sampled. ate
He egunit vale With 2 5¢ pct huky, lhe bet rate
ts feduced fram C¢cw tit [Aer t5 56000 bets (pec.
6/9
(uA), =e
Pem DR)* Beeeved.
mr
CW prem = balay = 4 (Bs 2
( 1, )/# Lea) 4
Dlypey = Lem /3
_ /
>, 4 = 4. a Pha F:
ln His problen DPCM Es copelt f achiewirs 2 SNR
citpravement tod bet (Xe redution ver PCM,
Fie bem #8
A posh ble lay by eshich Me Predictor Core $f viewhs
f- ADPCM
ot Me receve- can be. oblained “consists Va encoding and. |
transmit on Liha. te pepdtted. prelitior todffistaite |
at the Lrans miter s Mert. ttc hed ohh; ints are. bbe |
eroded. andtived ax Co frists ol. prodiity srade at |
The (eceNVele This precdice- leseity of Cneyer, Lee an tatyeas |
ya he. Lransiry sity bik rale Svef- Mat abl tned. sa DPCM,
“Yis psa his ad. vaklape..
gt) = ect [-—* )} |
Tie mathed Pilly marimizes, he up ndput Ev x)
eKpesedlab: GR) — | 200" nd mabes Kis
E[n't]
Es ke meeps of the
pete 9 bb).
Honee, wl E [iw T a =kT,
a
eel” vw) 7 yoke be tne “a ch hunts eed, Ha |
Efnrte)] =
a Lieae sh ge
>=
7 i) =0, fr t<o —Tyt o£ 7
6 /10
yb 2, fer EY AT.
ge)
: £
ra] T AT
2) Eln-]= x Ae [a
My = hy 9h g 0 fo biperag ty)
=> H(v) =k F(w)- <6
_
> e/n ‘o] = Peck x iL | De ea ite
J fio
oblem #10
Since. fhe. Clansnuss(n- és baseband binary Lean |
PNRZ Wi Kh cingular pills et, and ttaee. fhe. Channel |
cs A dheal and Ane Hon he- pected ptllad Aepecnce |
ot Ke Milehed. fut impel ate! cerregpardige CoO ol
Con be. (oprisentad a
Ta matihed, filttr cutee 28 (see. femark. 4, page 7) ;
T s 7 x. S 4
x
SL gech abot Hot ler Siti baa 0 fhe
y ts Moe. Z: odd Wiz watched LM, oto
i ala One. (sae lleg from He An
sly oblacned fm the opi Correeptrad xp Fa angle
Lapa pebiv-ard. sb-ac ach offetid by er ed
fos. Monte, fle. £8 ve LSI tie the matched
fret