# JNTU Kakinada B-Tech 4-2 DIGITAL SIGNAL PROCESSING R13 April 2018 Question Paper

IV B.Tech II Semester Regular/Supplementary Examinations, April – 2018
DIGITAL SIGNAL PROCESSING (Electrical and Electronics Engineering)Time: 3 hours Max. Marks: 70
Question paper consists of Part-A and Part-B
Answer ALL sub questions from Part-A
Answer any THREE questions from Part-B
*****

PART ?A (22 Marks)1. a) Determine the range of values of ?P? and ?q? for the stability of LTI system
with impulse response h(n)=p
n
; n<0
=q
n
; n=0


b) Discuss the periodicity and linearity property of DFT. 
c) Explain the need for going to FFT rather than DFT. 
d) What is the drawback in FIR filter design using windows and frequency
sampling method? How is it overcome?

e) Consider the discrete time signal x(n)={1,2,3,4) determine the up sampled
version of the signals for the sampling rate multiplication factor i) I=2 ii) I=3.

f) Explain the concept of pipelining and mention its importance in DSP
processors.


PART ?B (3×16 = 48 Marks)2. a) Test the following system for linearity


b) Find the system response of the following difference equation

, when signal x(n)=2u(n) assume
initial conditions are y(-1)=2 and y(-2)=3.



3. a) Explain the need of zero padding in DFT Sequence. Compute the 8-point of
DFT of the following sequence x(n)={1,1,1,1,0,0,0,0}.

b) Compute circular convolution of the following two sequences using DFT.
x
1(n)={0,1,0,1} and x
2(n)={1,2,1,2}.


4. a) Find the inverse FFT of the given X(k)={1,2,3,4} using DIF algorithm. 
b) Compute the 8-point DFT of the sequence x(n)=cos(np/2) using the DIT-FFT
algorithm. Show all intermediate results.


5. a) Show that decimator and interpolator are time-invariant systems. 
b) Discuss the sampling rate conversion by a rational factor I/D. 

Code No: RT42023B
Set No. 1
R13
1 of 2

IV B.Tech II Semester Regular/Supplementary Examinations, April – 2018
DIGITAL SIGNAL PROCESSING (Electrical and Electronics Engineering)Time: 3 hours Max. Marks: 70
Question paper consists of Part-A and Part-B
Answer ALL sub questions from Part-A
Answer any THREE questions from Part-B
*****

PART ?A (22 Marks)1. a) Determine the range of values of ?P? and ?q? for the stability of LTI system
with impulse response h(n)=p
n
; n<0
=q
n
; n=0


b) Discuss the periodicity and linearity property of DFT. 
c) Explain the need for going to FFT rather than DFT. 
d) What is the drawback in FIR filter design using windows and frequency
sampling method? How is it overcome?

e) Consider the discrete time signal x(n)={1,2,3,4) determine the up sampled
version of the signals for the sampling rate multiplication factor i) I=2 ii) I=3.

f) Explain the concept of pipelining and mention its importance in DSP
processors.


PART ?B (3×16 = 48 Marks)2. a) Test the following system for linearity


b) Find the system response of the following difference equation

, when signal x(n)=2u(n) assume
initial conditions are y(-1)=2 and y(-2)=3.



3. a) Explain the need of zero padding in DFT Sequence. Compute the 8-point of
DFT of the following sequence x(n)={1,1,1,1,0,0,0,0}.

b) Compute circular convolution of the following two sequences using DFT.
x
1(n)={0,1,0,1} and x
2(n)={1,2,1,2}.


4. a) Find the inverse FFT of the given X(k)={1,2,3,4} using DIF algorithm. 
b) Compute the 8-point DFT of the sequence x(n)=cos(np/2) using the DIT-FFT
algorithm. Show all intermediate results.


5. a) Show that decimator and interpolator are time-invariant systems. 
b) Discuss the sampling rate conversion by a rational factor I/D. 

Code No: RT42023B
Set No. 1
R13
1 of 2

6. a) Design a linear phase FIR low pass filter using rectangular window by taking
7 samples of window sequence and with cutoff frequency ?
c
=0.2p


b) Derive the relation between analog and digital filter poles in impulse
invariant transformation method.


7. a) Explain with neat sketch the Architecture of TMS 320C5X. 
b) Write any four special instructions of TMS320C5X processors that are
suitable for signal processing applications and explain.

2 of 2
Code No: RT42023B
Set No. 1
R13

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