Download AKTU B-Tech 6th Sem 2014-2015 Digital Signal Processing Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 6th Semester (Sixth Semester) 2014-2015 Digital Signal Processing Question Paper

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PAPER ID : 131602
Roll No.
j,
B. Tech. 1
(SEM. V1) THEORY EXAMINATION, 2014-15
DIGITAL SIGNAL PROCESSING
?Time. - 3Homs] 7 [Total Marks : 100
l Attempt any four parts 5X4=20
(3) Draw the block diagram for the following system
? with input x(n) and output y(n)
w(n)=x(_n) +s;?x(n?1) and
y(n) +3; y (r241) = w(_n)
(b) Obtain the cascade realization for the following
' system;
(l+-:?z'l + % 2?2)(l?%z'1+z?2)
-1 1
Hm: 2 1 2+1 1 2
+ ? 1+? ? 2?-
42 X 42 +22 )
(1+2
131602] 3 1 1 Contd...

(c) Calculate the DPT of the sequence
s(n),={2,4,2,3}. 1
(d) State and prove circular convolution propexty of
? DFT. ',
(e) Explain ?equency umsformation with LPF to
. HPF convetsion formula. - -
(f) Draw a transfoxrnation matn'x of size SXS and
e'yq?'ain the properties of twiddle factor.
Attempt gny four pang} 5X4=20
(a) Determine H(z) using the impulse invariant
technique for the analog system ?mction
H(s) = ?-?????5????- _
. (s+0.5)('s +0.5s+2)
(b) Realise an FIR ?lter whose impulse response is
h(n)={1, 2, 5, 6, '3, 6, 5, 2, 1} using minimum
number of multipliers.
(0) Determine the res?onse of a discrete4ime system for
an input signal s(p)={2,1, 3,1 }, ifthe m?mle
response is of the system is h(n)={1, 2,2,?1}
> (d) Endinerate' and explain the properties of DFT.
(e) Draw the parallel form neMork structure of the
system with transfer function.
2z(z+3)
H(z) = ????????-
22 +0.3z+0.02
(i) What are the di??eren?t window functiens used fer
windowing 7 Explain the 'e??eets ofusing different
window functions'for designing FIR ?lter on the
. ?lter IW.
?? "m 2 [ Contd...
Attempt any two parts 10X2=20
(a) Derive and draw the ?ow graph for DIF FFT
algorithm for N=8.
(b) Calculate the circular convolution of sl(n) =
{l,2,l,2} and 52(t1)={ l, 2, 3, 4} using Stockham's
method I
(c) Determine H(z) for a butterwmth ?lter satisfying
the following constraints
1f.
. OSmS?
|H(eJ??)|51 2
|H(ef??)|so.2 135mm:
with T=l sec. Apply impulse invariant u'ansfotmation
Attempt any two parts; 10><2=20
(11) Given x(n) =211 and N=8 ?nd X(K) using DIT
FFT algorithm Also calculate the computational
reduction factor. '
(15) Design a low-pass ?lter with the following desired
frequency response
. e'jz??, 15(1) :35
Hue?) = 4
o, 15<| co|<1t
4
and using window ?inction
w( ) 1, 0_<_n_<_4
n =
0, otherwise
Q
131602] 3 [ Contd...

(c) Draw the Ladder structure for the system with
system ?mction
-- 52'3 +22."2+32?l +1
Hm: ?3 -2 ?1
z. + z + Z? +1
5 Attempt any two parts : 10x2=20
(a) Design a digital chebyshev ?lter to satisfy the '
hoonstmints ?
0.77_<_ [H(ej??)|51 0950.21:
IH(ejw)|SO.1 0.51tSODS1I:
Using bilinear transfonnation with T=1s
(b) Convert the analog ?lter with system ?mction
? s+0.l ?
H(S) = -???-2-?-
(s,+0. 1) +9
into digital ?lterwith a
resonant ?'equency of 03, =% of using bilinear
tramformation
(c) Explain the following phenomenon's :
(1) Gibbs Oscillations; '
(ii) Frequency Wraping.
131602] 4 [ 13825]