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Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIFTH SEMESTER B.TECH DEGREE EXAMINATION, APRIL 2018

Course Code: EC301
Course Name: DIGITAL SIGNAL PROCESSING
Max. Marks: 100 Duration: 3 Hours

PARTA
Answer any two full questions, each carries 15 marks Marks

1 a) If x(n) = (2,3,4,5,6,4,3,2,1}, h(n) = (2, 3,4,5}. Find x(n)*h(n) using overlap save (7)
method.

b) Find the 8 point DFT of the sequence x(n) ={ 1,2,3,4,4,3,2,1} using DITFFT radix (8)
2 algorithm.

2 ಖ5 and prove any three properties of DFT. (7) b) Find the 8-point DFT of the real
sequence x(n) = {1,2,2,2,1,0,0,0} using (8) decimation in frequency FFT algorithm.

3 2) Find the circular convolution of xi(n) = {1,2,3,4} and x2(n) = (2, 1,2}. (5) b) The
first eight points of the 14-point DFT of a real valued sequence are [12, -1+3], (5) 3+j4, 1-15, -
24j2, 06-13, -2-j3, 10]

i) Determine the remaining points.
ii) Evaluate x[0] without computing the IDFT of X(k).
©) Find the 8-point DFT of the sequence (2, 0,2,0, 2, 0, 2, 0} using 4-point DFTs.
(5)

PART 13
Answer any two full questions, each carries 15 marks

4 2) Find the response of the signal x(n) = 2Cos(z/2)n when applied to an FIR filter (5) with
impulse response h(n) = {1,3,1}.
b) A second order linear phase FIR filter has a zero at z = 16. Obtain the magnitude (5)
and phase response of the filter.
c) Anall pole analog filter have transfer function H(s) = 1/(s*+5s+6). Find H(z) by (5)
impulse invariance method.Assume 7-186.
5 9०४) Design an ideal FIR high pass filter with frequency response (7)

7

= <

(w)= 1 1 ‏مہ‎ > ர 2

0 || 4
Find the value of h(n) for N=11.

b) Design a digital Butterworth filter satisfying the following constraints (8)
⋅ ⋅⊰⋅∏
| H{% प ‏پک‎ 5 ர
⋅ 1
0.707 ‏ا‎ || 27 (& 1 तर for 0
) 2

using bilinear transformation, (Assume ¶ = 18९८)

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