UNIV4VINU | ENGINEERING ACHIEVERS

DIGITAL SIGNAL PROCESSING

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

radix2FFT when compared to Direct DFT?

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

adigital 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

ofwindowing 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

thesystem is Linear Time, Variant, Causal and Stable?

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

for the system.

11. (b) (i) Find the Ztransformof1) 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

sequencex1(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

thecircular 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?