Categories: Fourth Year Second Semester (4-2)

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

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

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