Reg No.:_

FIFTH SEMESTER B.TECH DEGREE EXAMINATION(R&S), DECEMBER 2019

Max. Marks: 100

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E192002 Pages:3

Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Course Code: EC301
Course Name: DIGITAL SIGNAL PROCESSING

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

StateParseval’s theorem of DFT?Using DFT find the energy of the
sequencex(n) = 0.27 u(n),n > 4.

Compute 8-point DFT of the sequence x(n)= (55,5,5.0.0.0,0} using DITFFT
algorithm. Follow exactly the corresponding flow graphs and keep track of all
the intermediate quantities by putting them on diagram.

Find linear convolution of the sequences x(n) and z(n) using circular
convolution. Given x(n)={ 1,2,3,1} and z(n)={4,3,2}.

Explain how N point DFTs of two real sequences can be found using by
computing a single DFT. Illustrate with the sequences xj(n)={4,3,-1,5} and
x2(n)={6,-4,2,5}.

Find the number of real multiplications and additions involved in the
computation of 64-point DFT using i) direct computation ii) FFT algorithm.Also
comment on the computational advantage of FFT algorithm over the direct
method.

Using Overlap Add method, find the output of the filter with filter response h(n)
when an input x(n)={ 1,2,2,3,4,2,2,1,1} is given. Take data block size of length
L= 3 and h(n)= {2,3,4}.

PART ந
Answer any two full questions, each carries 15 marks.

Design a linear phase FIR low pass filter with cut off frequency of 2 kHz and
sampling rate of 8 kHz with a filter length 11 using Hanning window.

Find the filter transfer function H(z) from the analog filter with system function
H(s) using Impulse Invariance method.

ऽ + 1

H(s) = 370254 1601

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Duration: 3 Hours

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