UNIV4VINU | ENGINEERING ACHIEVERS

DIGITAL SIGNAL PROCESSING

PART-A (10 x 2 = 20 Marks)

1. Differentiate between analog and digital signal. Why Digital signal processing is widely

used than analog signal processing.

2. State Shannon’s Sampling theorem.3. Determine the Z-transform of (1/2)n[ u[n]-u[n-

8]] and indicate its ROC.

4. Compare FIR and IIR filter.

5. What are the advantages of linear phase characteristics? Which systems exhibit linear

phase?

6. Show that the system described by the difference equation is an all pass system3 y(n) –

y(n-1) = -x(n) + 3x(n-1)

7. Mention few application areas where speech coding is required.

8. Explain the circular addressing mode of DSP processor

9. Find the DFT of the signal x(n)= {1,3,5,7}.

10. Distinguish between recursive and non-recursive realizations of filters.

PART-B (5x16 = 80 Marks)

11.i) Show that Z-Transform of x*(n) is X*(z*). (4)

ii) Consider a linear shift-invariant discrete system with input x(n) and output y(n) for

whichy(n-2) – 2.5 y(n-1) +y(n) =x(n)By considering the pole-zero pattern associated with

the difference equation, determine the three possible choices for the unit-sample

response of the system. Comment on the stability of the system in each case. (12)

12.a)i) Find the DFT of the sequence {1,1,1,1,2,2,2,2} using radix-2 Decimation-in-Time

FFT. Sketch the magnitude and phase plot. (12)

ii) What is the need for FFT? (4)

(OR)

12.b)i) Find the DFT of the sequence {1,1,1,1,2,2,2,2} using radix-2 Decimation-in-

Frequency FFT. (12)

ii) Write about over lap save method. (4)

13.a) The specification of the desired low pass filter are:Amin = 22 dB and Amax = 3 dB ?p

= 0.2? and ?s = 0.4?Design a Butterworth digital filter using Bilinear Transformation. (Amin

and Amax are attenuation) (16)

(OR)

13.b) Design and also realize a high pass FIR filter with a cutoff frequency of 1.3 rad/sec

and N=9. (16)

14.a)i) Perform the linear convolution of (1/4)n u(n) and (1/2)n u(n). (6)