DSPsets

DSP
SET -1
1.a) Explain the relationship between DFT with other transforms

b)Determine the 8 point DFT of the sequence 𝑥(𝑛) = {1,1,1,1,1,1,1,0}.
c) What is the purpose of filtering of long duration sequences? List the
methods for filtering of long duration sequences.
( OR )
2. Compute 8-point DFT of the sequence 𝑥(𝑛) = {0,1,2,3,4,5,6,7} using Radix-2
DIF-FFT Algorithm.
3.a) Compare Butterworth and Chebyshev Filter.

b)Illustrate the conversion steps in Impulse Invariance & Bilinear
transformation
method?
(OR)
4a) List the different types of structures for realization of IIR systems.
b) List the different types of structures for realization of IIR systems.
5.a)Explain the steps to be followed in designing FIR Filters using Fourier Series
method. [L2][CO3] [4M]
b) What is a window? Why it is necessary?
(OR)
6)What is FIR filter? Write the necessary and sufficient condition for the linear
phase characteristic of a FIR filter?
SET -2
1.a) List the properties of DFT.
b).Evaluate the output y(n) of a filter whose impulse response is ℎ(𝑛) = {1,2} and
input signal 𝑥(𝑛) = {1,2, −1,2,3, −2, −3, −1,1,1,2, −1} using overlap save method
and overlap add method.
( OR )
2a) Write the significance of DFT in linear filtering.
b) compute DFT for the sequence x(n) = (2,2,2,1,1,1) using radix 2 DIT-FFT
algorithm .
3.a)How a digital filter is designed? List the methods for converting analog filter
TF to digital filter TF.
b) Illustrate the conversion steps in Impulse Invariance & Bilinear transformation
method?
(OR)
4a)Explain the steps in the design of an analog Butterworth low pass filter
b) What are the basic elements used to construct the block diagram of a discrete
time system? Draw their symbols.
question bank 9th prblm
5a ) What is FIR filter? Write the necessary and sufficient condition for the linear
phase characteristic of a FIR filter?
b) Give the equations for Rectangular, Hanning and Hamming window and explain
its significance
( OR )
6a) compare rectangle window and hanning window.
b) Explain the Procedure for designing FIR filters using windows.
set - 3
1. a) What is DFT? Give its significance with necessary equations.
b) State and Prove any Four properties of DFT.
( OR )
2. a) How FFT improves the speed of computation? Find the number of
multiplication and additions required in an 8-point radix-2 FFT.
b) Evaluate the output 𝑦(𝑛) of a filter whose impulse response is ℎ(𝑛) = {1,-
1} and input signal 𝑥(𝑛) = {1, −2,2,-1,3,-2,0,1,2,1} using overlap save
method.
3. a) How a digital filter is designed? List the methods for converting analog
filter TF to digital filter TF.
b) Apply Bilinear transformation to 𝐻(𝑆) = 4/ (𝑆+3)(𝑠+4) with T = 0.5 Sec and
find 𝐻(𝑍)
(or)
4.a) List the different types of structures for realization of IIR systems.
b)qn 10 .a
5.a) What is a window? Why it is necessary?
b) Compare Rectangular window and Hanning Window
(or)
6.a)Design an ideal High pass filter with the frequency response
𝐻𝑑(𝑒𝑗𝑤) = 1 for 𝜋 /4≤ |𝜔| ≤ 𝜋
= 0 for |𝜔| ≤ 𝜋/4
Find the values of h(n) for N=11 and find H(z)
Set – 4
1.a ) What is the purpose of IDFT, write its mathematical equation.
b) Explain the steps in Decimation in DIT - FFT algorithm with necessary
diagram.
( OR )
2. a)Compute the 4-point DFT for the sequence 𝑥(𝑛) = { 1; 0 ≤ 𝑛 ≤ 2 0;
𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠e
b) Find the linear convolution of the sequences 𝑥(𝑛) and ℎ(𝑛) using DFT.
𝑥(𝑛) = {1,0,2} , ℎ(𝑛) = {1,1}
3.a) What are the basic types of filters and on what basis are they classified?
b) Design an analog filter using Chebyshev approximation for the specifications
𝛼𝑝 = 3𝑑𝐵 𝑎𝑛𝑑 𝛼𝑠 = 16𝑑𝐵; 𝑓𝑝 = 1𝐾𝐻𝑧 𝑎𝑛𝑑 𝑓𝑠 = 2𝐾𝐻z
( OR )
4.a) Compare the Analog and Digital filters.
b) For the analog transfer function 𝐻(𝑆) = 2 /(𝑆+1)(𝑠+3) , Determine 𝐻(𝑍) using Impulse Invariance
method. Assume T=1 Sec.
5.)Design an ideal High pass filter using Hanning window with the frequency response
𝐻𝑑(𝑒𝑗𝑤) = 1 𝑓𝑜𝑟 𝜋/4≤ |𝜔| ≤ 𝜋
= 0 |𝜔| ≤𝜋/ 4
Find the values of h (n) for N=11 and find H(z)
( OR )
6. Design an FIR digital filter to approximate an ideal Low pass filter with pass
band gain of unity, cutoff frequency of 1𝑘𝐻𝑧, and working at a sampling frequency
𝑓𝑠 = 4𝑘𝐻𝑧. The length of the impulse response should be 11. Use Fourier series
method.

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DSP

1.a) Explain the relationship between DFT with other transforms

3.a) Compare Butterworth and Chebyshev Filter.

1.a ) What is the purpose of IDFT, write its mathematical equation.

b) Explain the steps in Decimation in DIT - FFT algorithm with necessary

2. a)Compute the 4-point DFT for the sequence 𝑥(𝑛) = { 1; 0 ≤ 𝑛 ≤ 2 0;

𝑥(𝑛) = {1,0,2} , ℎ(𝑛) = {1,1}

b) Design an analog filter using Chebyshev approximation for the specifications

𝛼𝑝 = 3𝑑𝐵 𝑎𝑛𝑑 𝛼𝑠 = 16𝑑𝐵; 𝑓𝑝 = 1𝐾𝐻𝑧 𝑎𝑛𝑑 𝑓𝑠 = 2𝐾𝐻z

4.a) Compare the Analog and Digital filters.

𝐻𝑑(𝑒𝑗𝑤) = 1 𝑓𝑜𝑟 𝜋/4≤ |𝜔| ≤ 𝜋

Find the values of h (n) for N=11 and find H(z)

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