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EE09 703/PTEE09 703: DIGITAL SIGNAL PROCESSING

Model Question Paper

Time: 3 hours Maximum Marks: 70

Part A

(Answer all questions: 5 x 2 marks = 10 marks)

1. State the convolution property of discrete fourier transform (DFT).

2. Compare the number of multiplications required for determining the 8-point DFT by direct

computation and fast fourier transform.

3. What is the reason that FIR filter is always stable?

4. What is warping effect?

5. What are the two kinds of limit cycle behavior in DSP?

PART B(Answer any four questions: 4 x 5 marks = 20 marks)

6. Find the IDFT of ( ) {1, 0,1, 0}X k =

7. Obtain the linear convolution of the sequences ( ) {1, 2,3}x n = and ( ) { 1, 2}h n = using

circular convolution.

8. Obtain the cascade realization of system function1 2 1 2( ) (1 2 )(1 )H z z z z z

= + + .

9. Determine the order and the poles of low pass Butterworth filter that has 3 dB attenuationat 500Hz and an attenuation of 40dB at 1000Hz.

10.An analog filter has a transfer function 210

( )7 10

H ss s

=+ +

. Design a digital filter equivalent to

this using impulse invariant method.

11.Compare the Von Neumann and Harvard Architecture.

PART C

(Answer section (a) or section (b) of each question: 4 x 10 marks = 40 marks)

12.(a) Given a sequence ( ) {0,1, 2, 3, 4,5,6,7}x n = , determine X (k) using DIF FFT algorithm.

(10 marks)

OR

(b Find the linear convolution of the following sequences

( ) {1, 2, 1, 2,3, 2, 3, 1,1,1, 2, 1}x n = and ( ) {1, 2}h n = using overlap-save method.

(10 marks)

University of Calicut B.Tech. 2009 admissionsModel Question

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Seventh Semester B. Tech. Degree Examination

Electrical and Electronics Engineering

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13.a) Realize the following using direct form 1, direct form 2, cascade and parallel form.

2

2( 3)( )

0.3 0.02

zH z

z z

+=

+ +. (10

marks)

OR

b) i) Obtain the lattice ladder structure1 2

1 22 3 4( )1 6 5

z zH zz z

+ +=

+ +. (5 marks)

ii) Determine the state-space model for the system described by[ ] [ 1] 0.11 [ 2] [ ]y n y n y n x n= + + and sketch the type 1 state-space realization. (5 marks)

14.a) i) Design a filter with

3( )4 4

04

j j

dH e e

=

= <

. Using a Hamming window

with N=7. (10 marks)

OR

b) Design a Chebyshev filter for the following specification using bilinear

transformation method.0.8 ( ) 1 0 0.2

( ) 0.2 0.6

j

j

H e

H e

. (10 marks)

15.a) Discuss the working of a fixed point digital signal processor with block diagram.

(10 marks)

OR

(b) i) Compare the fixed point and floating point arithmetic. (5 marks)ii) What are the three quantization errors due to finite word length registers in

digital filters? (5 marks)

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University of Calicut B.Tech. 2009 admissionsModel Question

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