APJ KALAM TECHNOLOGICAL UNIVERSITY

FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER
201 5

Electrical & Electronics Engineering
(Stream: Power Control & Drives)

015856503: Advanced Signal Processing

Time: 3 hours Max marks: 60 Answer any two full questions from each part.
PART-A (Module and 1)

1 8. Check whether the system described by y[n] = x[n 2 ] is causal or not. (2)

0. = €1-- 4] (2) Check whether the given system with impulse response h[n] is stable or
not.

c. Find the Z transform and ROC for the following signal. (2)
_ 3nti ~ (ര,
nl = 2 u[n]— 2 (2) u[—n - 1}

x[
d. Find the inverse 2 transform of (3) z(z+i)
+) = Sn
(2-1)"(2-3) ROC : El > 1

3 1
2 a. Find the response for an ‏ار‎ =] + [7 LTI system described by (4) Y[n] ——
2) = 2x[n] + zx[n — I] vi-1]=0, #[-2]=1 ar
when initial conditions are and the input x[n]

b. Find the linear convolution of the sequences x[n] = and ॥[1] = (5) 11,lusing DFT.

3 a. Compute the 8 point DFT of the following sequence using radix 2 DIF FFT (5)
algorithm. x[nJ 1, 7

b. State and prove any four properties of DFT. (4)
PART-8 (Module 111 and IV)

4 a. Design a digital Butterworth filter that satisfies the following constraints using (7)
bilinear transformation. Assume T=Isec.
0.9 166)" ] 1,0 sw
3m
0.2, - >

4