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KONGUNADU COLLEGE OF ENGINEERING AND TECHNOLOGY

NAMAKKAL- TRICHY MAIN ROAD, THOTTIAM

DEPARTMENT OF ELECTRONICS AND COMMUNIATION ENGINEERING

TERMINAL EXAMINATION – I

EC 6502 – PRINCIPLES OF DIGITAL SIGNAL PROCESSING

V SEMESTER

Date: 07.08.2015 Session : AN

Time: 3 hours Max Marks: 100

PART A (14×02=28 MARKS)

1. What is bilinear transformation?

2. What is warping effect? What is its effect on magnitude and phase response?

3. Draw the direct form I realization structure of a 3rd order system.

4. Find the digital transfer function H(z) by using impulse invariant method for the

analog transfer function H(s)=1/(s+2). Assume T=0.5 sec.

5. What is meant by impulse invariant method of designing a IIR system?

6. Give the expression for location of poles of normalized butterworth filter.

7. What is the advantage of cascade realization?

8. State the advantages and disadvantages of FIR filters.

9. Write the expression for Hanning window.

10. Give the equations for Hamming window and Blackman window.

11. Determine the transversal structure of the system function H(z)=1+2z-1-3z-2-4z-3

12. What are the desirable characteristics of windows?

13. What is Gibbs phenomenon?

14. Draw the direct form realization of a linear phase FIR system for N odd.

PART B (1×8=8 MARKS)15. Describe the concept of impulse invariant method of designing IIR filters. (8)

PART C (4×16=64 MARKS) 16. a. Determine H(Z) for a Butterworth filter satisfying the following specifications:

0.8H(ej1, for0/4

H(ej0.2,for/2

Assume T=0.1sec.Apply bilinear transformation method.

(16)

OR

b. Design a digital Chebyshev filter satisfying the following constraints using

bilinear transform. Assume T = 1 sec.

0.707 ≤ | H (ω) | ≤ 1, 0 ≤ ω ≤ 0.2π;

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| H (ω) | ≤ 0.1, 0.5π ≤ ω ≤ π. (16)

17. a. (i) Explain the design procedure for Butterworth analog filter. (8)

(ii)Write the properties of the impulse invariant transformation. (8)

OR

b. (i) Apply impulse invariance method and find H(z), for H(s)=[(s+a)]/[(s+a)2+b2].(6)

(ii) Obtain a direct form I, direct form II, Cascade and parallel form realization for

the system.

y(n) = -0.1 y(n-1) + 0.2y(n-2) + 3x(n) + 3.6x(n-1) + 0.6x(n-2) (10)

18. a. Design an ideal high pass filter with a frequency response

Hd(ejω)= find the values h(n) for N=11 using

hamming window. Find H(z) and determine the magnitude response. (16)

OR

b. Determine the coefficients {h(n)} of linear phase FIR filter of length M=15

which has a symmetric unit sample response and a frequency response that

satisfies the condition H(2πk/15)= (16)

19. a. (i) Explain the designing of FIR filter using frequency sampling method. (8)

(ii) Discuss the window method of designing FIR filters in detail (8)

OR

b. (i) Design an FIR low pass digital filter by using the frequency sampling method

for the following specifications cutoff frequency =1500Hz sampling Frequency

=1500hz order of the filter:N=10 Filter Length Required L=N+1=11. (12)

(ii) Realize the system function H(Z)=(2/3)z+1+(2/3)z-1 by linear phase FIR

structure. (4)

Faculty Incharge HOD