Kurukshetra University 2007 B.Tech Electronics and Communications Engineering Signal and sistem - Question Paper
Signal and System
Paper-ECE-204-E
TotaJ No. uf Papei; 3
J\oJi IVo....................
BT-4/J07 Signal an JSysleoi H
Paper: EE-08 E
.. SftfO
Time r Three Hour.nl ,
[Maximum Marks ; lOfl
Note r Altcjup-L any FIVE iiucsliuus:*.
UNIT-1
senes representation of the following
&igna(witli period j~4
12
W SUil, ad prove the following prupcrties of cohlinuou!; Iitc
Fourier series:
(j) I jjlSe RcvtrsflJ
fii) MuJlfplicatbn. g
2- (a) Find out thg Fourier transform of the following signal
4tv
10
(tij Compute the Laplace transform oFthe sigual
_ w
*(tj= I e'" 6(t-nT) where T >
0 and sketch the poJe-10
n--P
zero plot.
*wo(2.D)fno
i
3. (a} The joint TDF of random variables K and Y ia shown beluw. Determine(i) (iii) fy(y}.aLtd(iv)
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12 |
(b) Qi vcn s = cos 0 and y = sin 0 h where 0 is a ran doiu varia h le Lmi family distributed in the range (0, 2 ft)- Show that x fuilH y arc u neorrclflted but not 1 ndcpend cnr. 8
(a) A waveform x {t) = 10 cos(E 000t + ) + 20 cos (ZOQGt +
ii unitiormlysumpled for digital iraiistui&sion.
(i) What is the minimum allowable rime~inrerval between
sample values ?
{il} If we want to reproduce one hour of this wavetbriu.
how manv sample values need to be stored ?
... ~i . . . (iii) Show jjnipbiuul ly Lhat Ibe samples; liti Lonely thiiratLeTLze
the waveform. 2i3i-5
1 - 2 Z'1
(b) Find th c i n verae 7-tran !ifnrm of X (z) =
5
2
1+-Z"1 -Hi'2
10
UNJT-TH
(a) Diseuss the methods used for rcjircxcnliHiun of Ci) Memoryless Signals (il) signals with Memory.
(h) TcfcUhe foltowing i-yjtcmi foi Tincr][y, limflinvnrillncC jiiu| (70nafttity.
(E) y Tn \ it [ tt 1 (ii>y jit) =* x [a] cm nj. i
(a] Differeni i ale he Lwecn tfm ly I low inn rermSn giving txAmjtte ctf each cant,
(0 IbbC'intuiHQLficm cm} lime-* vying ij-.flem
til) Lumped fwrnrncfer and dinirrtmtsd parameter lyjflvs*
tbj Write* technical im< nn S1MO and MIM<J system*. m
tiNlT-IV
(a) Discuns itic tmc-vnritblt rtipr#ifliu[tfi of an fXl ityaicm.
mi
(b) tVicrmiirc (fee responKcy tn) 0 of Hit; iysLcm ctpncritigd by ib4 iccubl order itlffntncc equation
y (ll)-3y | p - J] -4y | n-2] = i[nli 1-* I rt-JJ to Lhe Inpul \ \ n| - 4* it I nj+ |(J
ia) An LTI svttem is dcurritvd by .
&J2
dr di
Determine Uic imifcf huicikm *if itic system and tent it Tor causality and stability. 12
fh) How ll the ncjpniuit of an LE'J sjntcnj cte(eniiiFwd fox Hie iKrthaflfc tignHl; 1 8
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| Earning: Approval pending. |
