# 2005 Anna University Chennai B E digital signal processing it department Question paper

** University Question Papers **

**
**2005 Anna University Chennai B E digital signal processing it department Question paper

B.E / B.Tech, DEGREE EXAMINATION , NOV / DEC 2006

Fourth Semester (IT)

Computer Science and EngineeringVII

DIGITAL SIGNAL PROCESSING

( Common to B.E.(PartTime)

Fourth Semester Regulation 2005)

(Regulation 2004)

Time: 3 hours Maximum : 100 marks

Answer ALL Questions

PART A – (10 X 2 = 20 marks)

1. State Sampling Theorem?

2. Find the Poles of the system.

3. Find the DFT of the sequence x(n) ={1, 1, 0, 0 } DFT is obtained by FFT.

4. Calculate the number of multiplications needed in the calculation of 512 point radix

2FFT when compared to Direct DFT?

5. What are the properties that are maintained same in the transfer of analog filter into a

digital filter?

6. What is warping effect?

7.Draw the direct from realization of FIR system?

8.What are the describe features of a window function? Name the different types of

windowing function?

9. What is truncation?

10. Draw a sample/ hold circuit and explain its operations?

PART B – (5 X 16 = 80 marks)

11. (a) (i) For each of the following discrete time system, determine whether or not the

system is Linear Time, Variant, Causal and Stable?

11.(a) (ii) Determine the transfer function, magnitude & phase response, impulse

response for the system.

11. (b) (i) Find the Ztransform

of

1) x(n) = 2 n u (n2)

2) x(n) = n 2 u (n)

11.(b)(ii) Use convolution to find x(n), given

11.(b) (iii) Determine the cross correlation values of the sequence x1(n) ={ 1, 2, 3, 4 }

x2(n) = {4, 3, 2, 1}

12. (a) (i) Compute linear and circular convolution of the two sequence

x1(n) ={ 1, 2, 2, 2 } and x2(n) = {1, 2, 3, 4}

12.(a) (ii) Compute the FFT using DIT algorithm for the sequence x(n) = {1, 2, 3, 4, 4, 3,

2, 1 } and draw the corresponding flow diagram.

12.(b) (i)Prove that multiplication DFT’s of 2 sequence is equivalent to the DFT of the

circular convolution of the 2 sequence in time domain?

12.(b)(ii) Discuss in detail the use of FFT algorithm , in linear filtering?

13.(a) Find H(z) using impulse invariant technique for the analog system function.

13 (b) (i) Obtain the direct form II, Cascade form parallel form structures for the system?

13.(b) (ii) Design a butterworth filter using linear transformation that satisfies the

following constraint?

14(a) The desired response of a low pass filter is?

14.(b) Explain the Type I & Type 2 design of FIR filter using frequency sampling

Technique?

15.(a) The output of A/D converter is applied to a digital filter with

system function find the o/p noise power for the digital filter when the input

signal is quantized to 8Hz.

15.(b)(i) A digital system is characterized by the difference equation y(n)=0.95 y(n

1)+x(n). Determine the dead band the system when x(n) =0 and y(n) = 13

15.(b) (ii) With neat diagram explain the analysis and synthesis part of a recorder in

detail?