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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER M. TECH DEGREE EXAMINATION, JUNE/JULY 2018
Branch: ELECTRICAL & ELECTRONICS ENGINEERING

Stream: POWER CONTROL & DRIVES

course code & Name:_OIEE6S03 ADVANCED SIGNAL PROCESSIN
Answer any twofull questions from each part
Limit answers to the required points.

Max. Marks: 60
Duration: 3 hours

PART A

1.a. Test the time invariance, linearity and causality ofthe following; y(n) =

ಗ (2) ೫೫) = ಸ(-ಗ) (3) y(n) =|x(n)}

(6 marks)
0. Determine the 7 transform including the region of convergence for the following:

‎பா) റീ +— |) (3 marks)‏ اج
2 57

‎2, State and prove any four properties of DFT. (3 marks)

‎b. Determine the inverse Z transform ofthe following:

‎Z
‎ത്മ 0
നി
ifROC are (i) ‏ا2ا‎ > | (ii) (i) — ௮
(6 marks)
3. a. Obtain a 8 point DFT ofthe sequence *(")={1,2,3,4,4,3,2,1} using radix 2 DIF FFT

‎Algor ithm.