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EC401 Digital signal processing
Unit-IV
One mark questions:
1
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Give any one limitation of digital filters
3
...

4
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5
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6
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7
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8
...

9
...

10
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What is the criterion for the selection of a window in FIR filter design?
12
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FIR filters are all pole system
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Give the properties of FIR filter
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List the limitations of FIR filters
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State the condition for digital filter to be causal and stable
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Write the condition for linear phase
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What are the disadvantages of Fourier series method of designing FIR filters?
19
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Draw the various ideal filter characteristics
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What are the different types of filters based on impulse response?
2
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List the steps involved in the design of FIR filters using windows
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What are the advantages of Kaiser window?
5
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Draw the direct form realization of a linear Phase FIR system for N even
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Draw the direct form realization of a linear Phase FIR system for N odd
8
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Write Different expressions for different filter types
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Draw the direct form realization of FIR system
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Realize the FIR filter with the transfer function:
H(Z) = 1+2Z-1 -3Z-2 -4Z-3+5Z-4 using direct form
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Realize the FIR filter with the transfer function:
H(Z) = (1+2Z-1- Z-2) ( 1+Z-1-Z-2 ) using cascade form
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Realize the following system using minimum number of multipliers
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Realize the following system using minimum number of multipliers
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Realize the following system using Direct form-I and cascade form realization
y(n)=x(n)+3x(n-1)+3x(n-2)+x(n-3)
6
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Explain about various frequency selective filters
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Give the advantages of FIR filter
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9
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10
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Ten mark questions:
1
...

2
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3
...

4
...

5
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Unit-V
One mark questions:
1
...

3
...

5
...


Give the transfer function of IIR filter
Give the relation between s-plane and z-plane for Impulse Invariance technique
Write the limitation of Impulse Invariance technique
What is warping effect?
What is pre-warping?
What are the different types of structures for realization of IIR systems?

7
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8
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What is bilinear transformation?
10
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What is the advantage of cascade realization?
12
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[Yes/No]
13
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[Yes/No]
14
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Chebyshev filters have sharper cut-off frequency compared to Butterworth
filters
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In Butterworth filters poles are located on _________
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In Chebyshev filters poles are located on _________
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Write the expression for finding order of the filter in Butterworth approximations
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Write the expression for finding order of the filter in Chebyshev approximations
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What is the difference between recursive & non-recursive filters?

Two marks questions:
1
...

3
...

5
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State the structure of IIR filter
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Draw the direct form II structure of IIR
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What is the mapping procedure between S-plane & Z-plane in the method of mapping
differentials? What are its characteristics?
7
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Write a short note on pre-warping
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What are the advantages & disadvantages of bilinear transformation?
10
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Five marks questions:
1
...

2
...
Assume T=0
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s
H(s)= 2
s  3s  2
3
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y(n) – 3y (n-1) +

3
7
y (n-2) = x(n) + x (n  1)
2
2

4
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H ( z ) 

2(1  Z 1 )(1  Z 1 )
(1  0
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Distinguish between butterworth and chebyshev filters
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Give the comparison between IIR and FIR filters
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Obtain the Direct form I, Cascade form for the difference equation y(n)=y(n-1)-0
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8
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1
(𝑆+0
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Select T=0
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9
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10
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Design a digital Butterworth filter satisfying the following constraints
0
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2
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2 π
3
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2

b) Apply bilinear transformation to H ( s) 

3
with T = 1 sec to find H(z)
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Realize the system given by difference equation
y(n) = – 0
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72y(n-2) + 0
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252x(n-2) in transposed form and
parallel form
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Sketch the Direct form I, Direct form II, Cascade form and Parallel form structures
0
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362 z 2  0
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1  0
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18 z 2  0

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