DIGITAL SIGNAL PROCESSING PAPER 1

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DIGITAL SIGNAL PROCESSING (New) EC 308 6th Sem. May 2k5

Note: Section A is compulsory. Attempt any Four questions from Section B and two from Section C. Assume any missing data.

Section A Marks 2 each

1.

• List applications of Digital Signal Processing.
• What are the features of TMS series of processor?
• What is the importance of ROC>
• Define z-transform.
• What is the relationship between z-transform and Laplace transform?
• Differentiate between FIR and IIR filters.
• List name of structure for FIR system.
• What are the advantages of Digital Filter over analog filter?
• Find the z-transform of d(n) = 1 at t=0.
• What are various methods of finding inverse z-transform?

Section B Marks 5 each

2. Stove the following second order difference equation:
2 x (n-2) – 3 x (n-1) + x(n) = 3n-2 >0

3. Find inverse z-transform of
(see attachment)

If:

• ROC =z>1
• z < 3/5
• ROC =3/5 <\z <1.

4. State 3 properties of z-transform and give examples.

5. State 3-properties of Fourier Transform and give examples.

6. What is decimation in frequency for computing DGT? What are advantages of Radix 2FFT?

Section C Marks 10 each

7. Fig. 1 ( see attachment) shows direct-II form of realization of IIR filter:
(a) Find Transform functions H(z) of filter
(b) Find corresponding difference equation.
(c) Realize filter using cascade form using first order module?
(d) Find impulse response function for filter.

8. Draw the architecture of TMS series of processors. Discuss its main features.

9. Design a digital filter using bilinear transformation for the following analog transfer function:

Obtain transfer function H(s) of digital filter assuming 3 db cut off frequency of 150 Hz and sampling frequency of 1.28 kHz.