Biju Patnaik University of Technology 2008-5th Sem B.Tech (B Tech)digital signal processing . - exam paper
BPUT(B Tech) fifth semester digital signal processing ques. paper.
Total number of printed pages -7 B, Tech
CPEC 5302
Fifth Semester Examination - 2008 DIGITAL SIGNAL PROCESSING
Full Marks-70 Time - 3 Hours
Answer Question No. 1 which is compulsory and any five from the rest
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The figures in the right-hand margin indicate marks.
1. A signal is represeated as : 2x10
1, 0<n<2
0, elsewhere
(a) Determine its values and sketch the signal x(nj.
a-
P.T.O,
-t'
I f1
(t>) Sfco!!T signal results. i> Jtffl) * first f0*000 and Tften dey-fd try mreo sanies
fc) iExpre&s x(fl) <n terms of *1 (n/
(d) Sketch jrt-ff+ *)
(e) Give me direct form Ji realization of ftio equation defined as
y(n) i - a,ry{n -1) * t>t,x(n) * t>.x{n iJ
(I) Slate and provti the convolution property of the ztran5form.
(g) What is the approximate transition width of main lobe ini the rectangular window ? What happens to it if you double the filter length ?
(h) State ar>d prove the circular time shift property D F T
fn) What <s a penocJogram ? 'What is its utility ?
(j) How may real, multiplications and real additions are requrred for the computation ot an JV-point QFT ?
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2 Find out the autocorrelation of the signal xffiJ = a'iu(n)w0<a<1 Plot the resulting signal When does the autocorrelated signal becomes the highest ? Why ? 6+2+Y+1
3 (a) Compute the convolution y(n) of two
signals defined as x,(n) = {2,-3,2} and CPEC 5302 3 PT0*
j 1.0 n s 4 m Jnl r <, Pto? y(nf 6
J Vo rtsBwnete
<Di Dctcrtnfnc S\*P Tsponto o! the
SyMem yi(mjf - ayn 1 jf Uf,|,J- *! ' a * *
wrth itie m<tiai cofvjittoa y<- 1) = t
A (a) Fmd exit Wio imputes respoftWJ O' ihc systam
y(rij = 07><n-1)-(M2rtrt-2>*
*frt-2) Locaio its poifiSi and jwos Is ih system stable ?
(to) Compute the DFT of two sequences given
,2,3,4.51
and Xjtnji j.
I1-2. 3,2 as xt(n>=j.
Plot H. 4
CPEC 5302 4 . Contd.
S (a) Determine the cascade realization p( me system described by the tottowng transfer function
irr asz j(t oeaz jiii*2z *)
M 1 11 Q75* '*1 aiJsTf- l05*yO5iHC
6
<b) Compute- the sequence ><n) obtained by passing *trr)j 34| through a RR filter with impulse response /i(n) = 0.2,1). Consider a 4*pomt DFT. 4
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6. (a) Bring out the mapping between co and
H. Where it is used ? 5
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(b) Design a single pole low pass digital fitter with a 3-dB bandwidth of 0.3n by use of the bilinear transformation applied to the where nc is 10 analog filter H(s) = s+nc |
(b) Determine the magnitude response of the filter. 5 8. Describe the non parametric method of power spectrum estimate. |
the 3-dB bandwidth of the analog filter.
7. Design an FiR Linear phase digital filter by approximating the ideal frequency respons!
Hd () =
IT
6 '
(a), Determine the coefficients of a 21-tap filter based on the window method with a
rectangular window.
5
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CPEC 5302 Contd.
CPEC 5302
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Attachment: |
| Earning: Approval pending. |
