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

[4]
b) Discuss the periodicity and linearity property of DFT. [4]
c) Explain the need for going to FFT rather than DFT. [3]
d) What is the drawback in FIR filter design using windows and frequency
sampling method? How is it overcome?
[4]
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.
[4]
f) Explain the concept of pipelining and mention its importance in DSP
processors.
[3]

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

[6]
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.

[10]

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}.
[8]
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}.
[8]

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

5. a) Show that decimator and interpolator are time-invariant systems. [8]
b) Discuss the sampling rate conversion by a rational factor I/D. [8]

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

[4]
b) Discuss the periodicity and linearity property of DFT. [4]
c) Explain the need for going to FFT rather than DFT. [3]
d) What is the drawback in FIR filter design using windows and frequency
sampling method? How is it overcome?
[4]
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.
[4]
f) Explain the concept of pipelining and mention its importance in DSP
processors.
[3]

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

[6]
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.

[10]

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}.
[8]
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}.
[8]

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

5. a) Show that decimator and interpolator are time-invariant systems. [8]
b) Discuss the sampling rate conversion by a rational factor I/D. [8]

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
rad/sample.

[8]
b) Derive the relation between analog and digital filter poles in impulse
invariant transformation method.
[8]

7. a) Explain with neat sketch the Architecture of TMS 320C5X. [10]
b) Write any four special instructions of TMS320C5X processors that are
suitable for signal processing applications and explain.
[6]
2 of 2
Code No: RT42023B
Set No. 1
R13