Download AKTU B-Tech 6th Sem 2016-2017 NEC011 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) 2016-2017 NEC011 Digital Signal Processing Question Paper

Roll No.I I I I I I I I I I I NEC011
B. TECH.
THEORY EXAMINATION (SEMVI) 2016-17
DIGITAL SIGNAL PROCESSING
T ime : 3 Hours Max. Marks : 100
Note . Be precise in your answer. In case ofnumericalproblem assume data wherever not provided.
SECTION A
1. Attempt the following questions: 10 x 2 = 20
(a) Define digital signal processing.
(b) Draw the block diagram of digital signal processing.
(c) Explain the basic elements required for realization of digital system.
(d) Define linear convolution and its physical significance.
(e) What is the fundamental time period of the signal X(t)=sin15nt.
(1) Draw a transformation matrix of size 4X4 and explain the properties of twiddle factor.
(g) Differentiate between HR and FIR lters
(h) Enumerate the Advantages of DSP over ASP.
(i) Write the expression for computation efciency of an FFT.
(j) Calculate the DFT of the sequence S(n) = {12,13}.
SECTION B
2. Attempt any ve of the following questions: 5 x 10 = 50
(a) Obtain the Parallel form realization for the transfer function H(z) given below:
2+z'l+lz_2
H(z)= 4 1
1+7 '1 1+ '1+7 '2
( 22 )( Z 22)
(b) Calculate the DFT 0fx(n) = Cos an
(C) Drive and draw the ow graph for DIF FFT al gorithm for N=8.
(d) Determine H(z) using the impulse invariant technique for the analog system function
H) 2 2+
(5 + 0.5)(s + 0.55 + 2)
(e) Determine H(z) for a Butterworth filter satisfying the following constraints
IH(e/D)ISI 03603;
m s
IH(e/)I s 0.2 313 m S 7,
4
with T=1sec. Apply impulse invariant transformation.
(1) Given x(n) =2" and N=8 find X(K) using DIT FFT algorithm. Also calculate the
computational reduction factor.
(g) Design a lowpass filter with the following desired frequency response
e-JZw z
7:
, Sa)s
4 4
H d (6) = and using window function
0, < IwI < 7r
L OSnS4
W01) =
I0, otherwise

s+0.1
(h) Convert the analog filter with system function H (s) = 2
(s + 0.1) + 9
into digital filter
with a resonant frequency of a), = g of using bilinear transformation.
SECTION C
Attempt any two of the following questions: 2 x 15 = 30
(1) Obtain the ladder structure for the system function H(z) given below.
2 + 8Z_1 + 62'2
1+ 8Z_1+122_2
(ii) Compute the Circular convolution of two discrete time sequences X1(11) = {1, 2, 1, 2}
and X2(11)= { 3, 2, 1, 4}
H(z) =
(a) Determine the 4-point discrete time sequence from its DFT X(k) = { 4, l-j, 2, 1+j }
(b) Explain the following phenomenon: (i) Gibbs Oscillations, (ii) Frequency wrapng
(a) Derive the relation between DFT and Ztransform of a discrete time sequence S(n).
(b) Design a digital ChebysheV filter to satisfy the constraints
0.707 S H(ejm) 1 0 S a) S 0.27Z
H(e,-m) 0.17 0.57: S cos 7:
Using bilinear transformation with T=ls