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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIFTH SEMESTER B.TECH DEGREE EXAMINATION(S), MAY 2019

Course Code: EC301
Course Name: DIGITAL SIGNAL PROCESSING

PARTA
Answer any two full questions, each carries 15 marks.
Find the 4-DFT and 8-DFT of the sequence {1, 1, 1,0}. Plot [X(K)| and comment

on the significance of N?

State Parseval’s property?
DFT of a real valued signal X(K). = {j, 1+j, A, 1-j, -1, 3, -1-j, ಲಿ). Find the energy
of the signal?
Find the convolution of x(n) = {1, 2, 3, 4, 5, 6, 7, 8, 9} and h(n) = (2, 4, 6} using
overlap add method?
Find the response of an LTI system with impulse response h(n) = { 1, 2, 2, 1} for
an input x(n) = {1 ,-1 , 1, -1 } using circular convolution?
If x(n) = {1, 2, 3, 4}. Find DFT[DFT(x(n))] without calculating DFT?
Explain the radix-2 DIT FFT algorithm and draw the corresponding flow diagram
for 16 DFT computation.
Explain about the efficient computation of DFT of a 2N- point real sequence
PART B

Answer any two full questions, each carries 15 marks.
Derive equations for magnitude and phase responses of FIR filter whose impulse
response is symmetric and length N odd.
Design an ideal 6" order linear phase lowpass filter with frequency response
H(e/®)=1 for -0.57 > ७ 50.57 and H(e/”)=0 for 0.57 > |७| < 7.
Use Hamming window.
Explain Gibb’s phenomenon.
Determine the filter coefficients of a linear phase FIR filter of length N = 15,
which has a symmetric impulse response and a frequency response that satisfies

۶7 1, k=0,1,2,3
the conditions, H (=) = 4 0.4, ८ = 4
0, k=5,6,7

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Duration: 3 Hours

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