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DTSP - REVISION 4

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

The lower and upper limits on the convolution sum reflect the causality and finite duration characteristics of the filter.

a)

True

b)

False

2.

The roots of the polynomial H(z) are identical to the roots of the polynomial H(z-1).

a)

True

b)

False

3.

The roots of the equation H(z) must occur in ________________

a)

Identical

b)

Zero

c)

Reciprocal pairs

d)

Conjugate pairs

4.

If the unit sample response h(n) of the filter is real, complex valued roots need not occur in complex conjugate pairs.

a)

True

b)

False

5.

What is the number of filter coefficients that specify the frequency response for h(n) symmetric?

a)

(M-1)/2 when M is odd and M/2 when M is even

b)

(M-1)/2 when M is even and M/2 when M is odd

c)

(M+1)/2 when M is even and M/2 when M is odd

d)

(M+1)/2 when M is odd and M/2 when M is even

6.

What is the number of filter coefficients that specify the frequency response for h(n) anti-symmetric?

a)

(M-1)/2 when M is even and M/2 when M is odd

b)

(M-1)/2 when M is odd and M/2 when M is even

c)

(M+1)/2 when M is even and M/2 when M is odd

d)

(M+1)/2 when M is odd and M/2 when M is even

7.

Which of the following defines the rectangular window function of length M-1?

a)

w(n)=1, n=0,1,2...M-1

=0, else where

b)

w(n)=1, n=0,1,2...M-1

=-1, else where

c)

w(n)=0, n=0,1,2...M-1

=1, else where

d)

None of the mentioned

8.

In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.

a)

True

b)

False

9.

To reduce side lobes, in which region of the filter the frequency specifications have to be optimized?

a)

Stop band

b)

Pass band

c)

Transition band

d)

None of the mentioned

10.

What is the frequency response of a system with input h(n) and window length of M?

a)

n=0M1h(n)ejωn\sum_{n=0}^{M-1}h(n)e^{jωn}

b)

n=0Mh(n)ejωn\sum_{n=0}^Mh(n)e^{jωn}

c)

n=0Mh(n)ejωn\sum_{n=0}^Mh(n)e^{-jωn}

d)

n=0M1h(n)ejωn\sum_{n=0}^{M-1}h(n)e^{-jωn}

11.

The major advantage of designing linear phase FIR filter using frequency sampling method lies in the efficient frequency sampling structure.

a)

True

b)

False

12.

Which of the following is introduced in the frequency sampling realization of the FIR filter?

a)

Poles are more in number on unit circle

b)

Zeros are more in number on the unit circle

c)

Poles and zeros at equally spaced points on the unit circle

d)

None of the mentioned

13.

In a practical implementation of the frequency sampling realization, quantization effects preclude a perfect cancellation of the poles and zeros.

a)

True

b)

False

14.

In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.

a)

True

b)

False

15.

Why is it desirable to optimize frequency response in the transition band of the filter?

a)

Increase side lobe

b)

Reduce side lobe

c)

Increase main lobe

d)

None of the mentioned

16.

Which of the following is the first method proposed for design of FIR filters?

a)

Chebyshev approximation

b)

Frequency sampling method

c)

Windowing technique

d)

None of the mentioned

17.

The values of cutoff frequencies in general depend on which of the following?

a)

Type of the window

b)

Length of the window

c)

Type & Length of the window

d)

None of the mentioned

18.

The frequency sampling design method is attractive when the FIR filter is realized in the frequency domain by means of the DFT.

a)

True

b)

False

19.

Which of the following values can a frequency response take in frequency sampling technique?

a)

Zero

b)

One

c)

Zero or One

d)

None of the mentioned

20.

Which of the following technique is more preferable for design of linear phase FIR filter?

a)

Window design

b)

Chebyshev approximation

c)

Frequency sampling

d)

None of the mentioned

21.

What are the properties of FIR filter?

4 lines
22.

For what type of filters frequency sampling method is suitable?

4 lines
23.

When cascade form realization is preferred in FIR filters?

4 lines
24.

What is the principle of designing FIR filter using frequency sampling method?

4 lines
25.

What is linear phase FIR filter?

4 lines
26.

What are the merits and demerits of FIR filters?

4 lines
27.

Write the procedure for FIR filter design by frequency sampling method.

4 lines
28.

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?

a)

Hamming window

b)

Hanning window

c)

Kaiser window

d)

Blackman window

29.

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?

a)

Hamming window

b)

Hanning window

c)

Kaiser window

d)

Blackman window

30.

The oscillatory behavior near the band edge of the low pass filter is known as Gibbs phenomenon.

a)

True

b)

False

31.

The frequency response of which filter can be changed by changing the filter coefficient

a)

None of the Below

b)

Analog Filter

c)

Digital Filter

32.

To design analog filter to a Stable and Causal digital filter, the poles show lie on which part of the S-Plane?

a)

Left

b)

Right

c)

Origin

d)

Center

33.

Which transformation technique is said to be many to one transformation?

a)

Bilinear Transformation

b)

Impulse Invariant

c)

Approximation of Derivative

d)

Matched Z Transform

34.

In BLT, the non linear relationship introduces the distortion in frequency axis is said to be

a)

Frequency doubling

b)

Prewarping

c)

Frequency warping

d)

None of the Above

35.

Which Transformation technique is not preferred in designing IIR filter except Low pass filter?

a)

Approximation of Derivative

b)

Impulse Invariant Method

c)

Bilinear Transformation

d)

Matched Z transform

36.

In Which Transformation technique there is no problem of aliasing?

a)

Approximation of Derivative

b)

Impulse Invariant Method

c)

Bilinear Transformation

d)

Matched Z transform

37.

The Magnitude butterworth filter approaches the ideal response as order of the filter N

a)

Zero

b)

One

c)

Decreases

d)

Increases

38.

In which filter design has got monotonic in stop band and ripples in pass band in its magnitude response

a)

Chebyshev Type-I

b)

Chebyshev Type-II

c)

Butterworth Filter

d)

None of the above

39.

Which Structure of IIR is otherwise called as canonical Structure

a)

Direct form-I

b)

Direct form-II

c)

Parallel

d)

Cascade

40.

Analog filters are characterized by

a)

Differential Equation

b)

Difference Equation

c)

Quadratic Equation

d)

None of the above

41.

In which filter design has got the poles which lie on a circle in S-plane?

a)

Chebyshev Type-I

b)

Chebyshev Type-II

c)

Butterworth Filter

d)

None of the above

42.

Which Structure of IIR is otherwise called as canonical Structure

a)

Direct form-I

b)

Direct form-II

c)

Parallel

d)

Cascade

43.

Quantization error is avoided/Minimized in

a)

Direct form-I

b)

Direct form-II

c)

Cascade

d)

None of the above

44.

If the Impulse response are finite then the filter is said to be

a)

Recursive Filter

b)

Non Recursive filter

c)

IIR

d)

FIR

45.

The Advantages of FIR filter are (a)Stable (b)Linear phase (c) Realized in both Recursive and Non recursive Structure

a)

(a) & (b) are Correct

b)

(a) only Correct

c)

(b) only Correct

d)

All the options are correct

46.

The antisymmetric condition is

a)

h(n)=h(N-1-n)

b)

h(n)=h(N-1)

c)

-h(n)=h(N-1-n)

d)

h(n)=0

47.

The symmetric condition is given by

a)

h(n)=h(-n)

b)

h(n)= - h(-n)

c)

-h(n)=h(n)

d)

h(n)=0

48.

The maximum side lobe of Hamming window is

a)

-11dB

b)

-21dB

c)

-31dB

d)

-41dB

49.

What is the value of h(N-1/2) if the unit sample response is anti-symmetric?

a)

-1

b)

1

c)

0

d)

Infinite

50.

To reduce side lobes, in which region of the filter the frequency specifications have to be optimized?

a)

Stop band

b)

Pass band

c)

Transition band

d)

All the above