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WorksheetsDTSP - REVISION 4
Total questions: 50
Worksheet time: 25mins
The lower and upper limits on the convolution sum reflect the causality and finite duration characteristics of the filter.
True
False
The roots of the polynomial H(z) are identical to the roots of the polynomial H(z-1).
True
False
The roots of the equation H(z) must occur in ________________
Identical
Zero
Reciprocal pairs
Conjugate pairs
If the unit sample response h(n) of the filter is real, complex valued roots need not occur in complex conjugate pairs.
True
False
What is the number of filter coefficients that specify the frequency response for h(n) symmetric?
(M-1)/2 when M is odd and M/2 when M is even
(M-1)/2 when M is even and M/2 when M is odd
(M+1)/2 when M is even and M/2 when M is odd
(M+1)/2 when M is odd and M/2 when M is even
What is the number of filter coefficients that specify the frequency response for h(n) anti-symmetric?
(M-1)/2 when M is even and M/2 when M is odd
(M-1)/2 when M is odd and M/2 when M is even
(M+1)/2 when M is even and M/2 when M is odd
(M+1)/2 when M is odd and M/2 when M is even
Which of the following defines the rectangular window function of length M-1?
w(n)=1, n=0,1,2...M-1
=0, else where
w(n)=1, n=0,1,2...M-1
=-1, else where
w(n)=0, n=0,1,2...M-1
=1, else where
None of the mentioned
In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.
True
False
To reduce side lobes, in which region of the filter the frequency specifications have to be optimized?
Stop band
Pass band
Transition band
None of the mentioned
What is the frequency response of a system with input h(n) and window length of M?
n=0∑M−1h(n)ejωn
n=0∑Mh(n)ejωn
n=0∑Mh(n)e−jωn
n=0∑M−1h(n)e−jωn
The major advantage of designing linear phase FIR filter using frequency sampling method lies in the efficient frequency sampling structure.
True
False
Which of the following is introduced in the frequency sampling realization of the FIR filter?
Poles are more in number on unit circle
Zeros are more in number on the unit circle
Poles and zeros at equally spaced points on the unit circle
None of the mentioned
In a practical implementation of the frequency sampling realization, quantization effects preclude a perfect cancellation of the poles and zeros.
True
False
In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.
True
False
Why is it desirable to optimize frequency response in the transition band of the filter?
Increase side lobe
Reduce side lobe
Increase main lobe
None of the mentioned
Which of the following is the first method proposed for design of FIR filters?
Chebyshev approximation
Frequency sampling method
Windowing technique
None of the mentioned
The values of cutoff frequencies in general depend on which of the following?
Type of the window
Length of the window
Type & Length of the window
None of the mentioned
The frequency sampling design method is attractive when the FIR filter is realized in the frequency domain by means of the DFT.
True
False
Which of the following values can a frequency response take in frequency sampling technique?
Zero
One
Zero or One
None of the mentioned
Which of the following technique is more preferable for design of linear phase FIR filter?
Window design
Chebyshev approximation
Frequency sampling
None of the mentioned
What are the properties of FIR filter?
For what type of filters frequency sampling method is suitable?
When cascade form realization is preferred in FIR filters?
What is the principle of designing FIR filter using frequency sampling method?
What is linear phase FIR filter?
What are the merits and demerits of FIR filters?
Write the procedure for FIR filter design by frequency sampling method.
Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?
Hamming window
Hanning window
Kaiser window
Blackman window
Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?
Hamming window
Hanning window
Kaiser window
Blackman window
The oscillatory behavior near the band edge of the low pass filter is known as Gibbs phenomenon.
True
False
The frequency response of which filter can be changed by changing the filter coefficient
None of the Below
Analog Filter
Digital Filter
To design analog filter to a Stable and Causal digital filter, the poles show lie on which part of the S-Plane?
Left
Right
Origin
Center
Which transformation technique is said to be many to one transformation?
Bilinear Transformation
Impulse Invariant
Approximation of Derivative
Matched Z Transform
In BLT, the non linear relationship introduces the distortion in frequency axis is said to be
Frequency doubling
Prewarping
Frequency warping
None of the Above
Which Transformation technique is not preferred in designing IIR filter except Low pass filter?
Approximation of Derivative
Impulse Invariant Method
Bilinear Transformation
Matched Z transform
In Which Transformation technique there is no problem of aliasing?
Approximation of Derivative
Impulse Invariant Method
Bilinear Transformation
Matched Z transform
The Magnitude butterworth filter approaches the ideal response as order of the filter N
Zero
One
Decreases
Increases
In which filter design has got monotonic in stop band and ripples in pass band in its magnitude response
Chebyshev Type-I
Chebyshev Type-II
Butterworth Filter
None of the above
Which Structure of IIR is otherwise called as canonical Structure
Direct form-I
Direct form-II
Parallel
Cascade
Analog filters are characterized by
Differential Equation
Difference Equation
Quadratic Equation
None of the above
In which filter design has got the poles which lie on a circle in S-plane?
Chebyshev Type-I
Chebyshev Type-II
Butterworth Filter
None of the above
Which Structure of IIR is otherwise called as canonical Structure
Direct form-I
Direct form-II
Parallel
Cascade
Quantization error is avoided/Minimized in
Direct form-I
Direct form-II
Cascade
None of the above
If the Impulse response are finite then the filter is said to be
Recursive Filter
Non Recursive filter
IIR
FIR
The Advantages of FIR filter are (a)Stable (b)Linear phase (c) Realized in both Recursive and Non recursive Structure
(a) & (b) are Correct
(a) only Correct
(b) only Correct
All the options are correct
The antisymmetric condition is
h(n)=h(N-1-n)
h(n)=h(N-1)
-h(n)=h(N-1-n)
h(n)=0
The symmetric condition is given by
h(n)=h(-n)
h(n)= - h(-n)
-h(n)=h(n)
h(n)=0
The maximum side lobe of Hamming window is
-11dB
-21dB
-31dB
-41dB
What is the value of h(N-1/2) if the unit sample response is anti-symmetric?
-1
1
0
Infinite
To reduce side lobes, in which region of the filter the frequency specifications have to be optimized?
Stop band
Pass band
Transition band
All the above
