Free Printable EC8553 DTSP

1.

For the IIR filter, M and N respectively the order of numerator and denominator of the system function, then the number of multiplications required in direct form-I realization is.

a)

M+N-1

b)

M+N

c)

M+N+1

d)

M+N+2

2.

Number of additions required in the direct form I - realization of IIR filter with numerator and denominator order respectively M and N are

a)

M+N-1

b)

M+N

c)

M+N+1

d)

M+N+2

3.

The bilinear transformation is an invertible nonlinear mapping between the s-plane and the z-plane defined by

a)

$s=\frac{2}{T_{d\ }}\left(\frac{1-z^{-1}}{1+z^1}\right)$

b)

$s=\frac{2}{T_{d\ }}\left(\frac{1-z^{-1}}{1+z^{-1}}\right)$

c)

$s=\frac{2}{T_{d\ }}\left(\frac{1-z^1}{1+z^{-1}}\right)$

d)

$s=\frac{2}{T_{d\ }}\left(\frac{1+z^{-1}}{1-z^{-1}}\right)$

4.

To obtain digital filter H(z) by impulse invariance transformation, transform analog poles $\left\{p_k\right\}$ into digital poles $\left\{e^{p_kT}\right\}$ , Where $H\left(z\right)$ is,

a)

$H\left(z\right)=\sum_{k=1}^N\frac{R_k}{1-e^{p_kT}Z^{-1}}$

b)

$H\left(z\right)=\sum_{k=1}^N\frac{R_k}{1-e^{p_kT}Z^{ }}$

c)

$H\left(z\right)=\sum_{k=1}^N\frac{R_k}{1+e^{p_kT}Z^{-1}}$

d)

$H\left(z\right)=\sum_{k=1}^N\frac{R_k}{e^{p_kT}Z^{-1}}$

5.

In the bilinear transformation, the relationship between $\omega$ and $\Omega$

a)

$\omega=2\tan^{-1\ }\left(\frac{\Omega T}{2}\right)$

b)

$\omega=2\tan^{\ }\left(\frac{\Omega T}{2}\right)$

c)

$\omega=\tan^{-1\ }\left(\frac{\Omega T}{2}\right)$

d)

$\omega=2\tan^{-1\ }\left(\frac{\Omega T}{2}\right)^2$

6.

If the bilinear transformation is used to convert a continuous-time to a discrete-time filter, the frequency transformation may be performed ______________ the bilinear transformation

a)

either before or after

b)

before

c)

after

d)

none of these

7.

If we use the impulse-invariance transformation, the frequency transformation should be performed____________ to obtain the discrete-time low pass filter.

a)

after

b)

before

c)

either before or after

d)

None of these

8.

A one-to-one analog to digital filter transformation that maps analog complex frequency s into digital complex frequency z

a)

Butterworth approximation

b)

Cauer filter

c)

Bilinear transformation

d)

Chebyshev approximation

9.

An analog to digital filter transformation that preserves the shape of the analog filter impulse response.

a)

Impulse-invariance transformation

b)

Frequency (band) transformation

c)

Frequency warping

d)

Prewarping

10.

Direct form I structure requires

a)

(M + N) delay elements

b)

(M -N) delay elements

c)

(M + N)/2 delay elements

d)

(M + N+2) delay elements

11.

3-dB Butterworth Lowpass Prototype Transfer Functions, when the order of filter N =1 is

a)

$\frac{1}{s+1}$

b)

$\frac{1}{s-1}$

c)

$\frac{1}{s^2+s+2}$

d)

$\frac{1}{s^2+1}$

12.

The Bilinear Transformation maps the left half of an s-plane to the__________ unit circle of the z-plane

a)

inside

b)

outside

c)

imaginary axis of

d)

centre of the

13.

The impulse-invariant design method maps the analog impulse response to the digital equivalent impulse response. It is not appropriate for the

a)

highpass and bandstop filter design.

b)

lowpass and bandpass filter design

c)

Low pass design

d)

Band pass design

14.

Which of the following methods are used to convert analog filter into digital filter?

a)

Approximation of Derivatives

b)

Bilinear transformation

c)

Impulse invariance

d)

All of the mentioned

15.

For an analog LTI system to be stable, where should the poles of system function H(s) lie?

a)

Right half of s-plane

b)

Left half of s-plane

c)

On the imaginary axis

d)

At origin

16.

Which of the following filter transformation is not possible?

a)

High pass analog filter to low pass digital filter

b)

High pass analog filter to high pass digital filter

c)

Low pass analog filter to low pass digital filter

d)

None of the mentioned

17.

The window function

0.54-0.46\ \cos\ \left(\frac{2\pi n}{M-1}\right)

represent

a)

Blackman

b)

Hamming

c)

Hanning

d)

Bartlett (triangular)

18.

Hanning window function can be expressed as

a)

$W_{Hann}\left(n\right)=0.5\left(1-\cos\ \left(\frac{2\pi n}{M-1}\right)\right)$

b)

$W_{Hann}\left(n\right)=0.5\left(1+\cos\ \left(\frac{2\pi n}{M-1}\right)\right)$

c)

$W_{Hann}\left(n\right)=0.5\left(1-2\cos\ \left(\frac{2\pi n}{M-1}\right)\right)$

d)

$W_{Hann}\left(n\right)=0.5\left(1+2\cos\ \left(\frac{2\pi n}{M-1}\right)\right)$

19.

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

20.

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

a)

true

b)

false

21.

A discrete time signal may be 1) Samples of a continuous signal 2) A time series which is a domain of integers 3) Time series of sequence of quantities 4) Amplitude modulated wave

a)

1, 2 and 3 are correct

b)

1 and 2 are correct

c)

1 and 3 are correct

d)

All the four are correct

22.

FIR filters ________ (1. are non-recursive 2. do not adopt any feedback 3. are recursive 4. use feedback)

a)

1 & 2

b)

3 & 4

c)

1 & 4

d)

2 & 3

23.

A ________ filter rejects all frequencies within a specified band and passes all those outside this band.

a)

Low pass

b)

High pass

c)

Band pass

d)

Band stop

24.

A filter is said to be linear phase filter if the phase delay and group delay are _______

a)

High

b)

Moderate

c)

Low

d)

Constant

25.

A basic computational unit that sums two or more sequences.

a)

Adder

b)

Multiplier

c)

Subtractor

d)

None of these

26.

A basic computational unit that scales a sequence by a constant value.

a)

Multiplier

b)

Adder

c)

Both

d)

None of these

27.

A pictorial illustration that shows operations described by the difference equation using interconnections between

adder, multipliers, and delay elements.

a)

Basic elements

b)

Block diagram

c)

All-zero system

d)

All-pole system

28.

A structure that is obtained by expressing the system function as a product of second-order sections.

a)

Cascade form

b)

Direct form I

c)

Direct form II

d)

Linear-phase form

29.

The nonlinear relationship $\Omega=\frac{2}{T_{d\ }}\tan\left(\frac{\omega}{2\ }\right)$ between digital frequency ω and the analog frequency In the bilinear transformation.

a)

Frequency (band) transformation

b)

Elliptic approximation

c)

Frequency warping

d)

Zero-phase filtering

30.

A one-to-one analog to digital filter transformation that maps analog complex frequency s into digital complex frequency z

a)

Butterworth approximation

b)

Cauer filter

c)

Bilinear transformation

d)

Chebyshev approximation

31.

3-dB Butterworth Prototype Functions when the order of the filter N=3 is

a)

$\frac{1}{\left(s+1\right)\left(s^2+s+1\right)}$

b)

$\frac{1}{\left(s-1\right)\left(s^2+s+1\right)}$

c)

$\frac{1}{\left(s^2+s+1\right)}$

d)

$\frac{1}{\left(s+1\right)\left(s^2+2s+1\right)}$

32.

What is the duration of the unit sample response of a digital filter?

a)

Finite

b)

Infinite

c)

Impulse(very small)

d)

Zero

33.

FIR filter have ………., IIR filter have………

a)

Zeros, Poles & Zeros

b)

Poles & Zeros, Zeros

c)

Zeros, Zeros

d)

Poles , Poles

34.

Which of the following is done to convert a continuous time signal into discrete time signal?

a)

Modulating

b)

Sampling

c)

Differentiating

d)

Integrating

35.

A high pass filter is

a)

a filter with a bell shaped curve around the filters' active frequency

b)

a filter with a constant level after reaching the filters active frequency

c)

a filter that cuts the high frequency component of a signal

d)

a filter that cuts the low frequency component of a signal

36.

A low pass filter is

a)

a filter with a constant level after reaching the filters active frequency

b)

a filter with a bell shaped curve around the filters' active frequency

c)

a filter that cuts the high frequency component of a signal

d)

a filter that cuts the low frequency component of a signal

37.

What audio file format is best for use on the web?

a)

.MP3

b)

.MIDI

c)

.AAC

d)

.WAV

38.

What Do You Understand By Backward Difference?

a)

d/dt y(t)=y(nT)-y(nT-T)/T

b)

d/dt y(t)=y(nT)+y(nT-T)/T

c)

d/dt y(t)= y(nT-T)/T- y(nT)

d)

d/dt y(t)= y(nT-T)/T

39.

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

40.

Which of the following substitution is done in Bilinear transformations?

a)

$s=\frac{2}{T_s}\left[\frac{1-z^{-1}}{1+z^{-1}}\right]$

b)

$s=\frac{2}{T_s}\left[\frac{1+z^{-1}}{1+z^{-1}}\right]$

c)

$s=\frac{2}{T_s}\left[\frac{1-z^{-1}}{1-z^{-1}}\right]$

d)

$s=\frac{2}{T_s}\left[\frac{1+z^{-1}}{1-z^{-1}}\right]$

41.

What is the transfer function of Butterworth low pass filter of order 2?

a)

$\frac{1}{s^2+\sqrt{2}s+1}$

b)

$\frac{s}{s^2+\sqrt{2}s+1}$

c)

$\frac{s^2+\sqrt{2}s+1}{s}$

d)

$s^2+\sqrt{2}s+1$

42.

The structure shown is known as:

a)

Parallel form structure

b)

Cascade form structure

c)

Direct form structure

d)

None of the mentioned

43.

The IIR filter designing involves

a)

a. Designing of analog filter in analog domain and transforming into digital domain

b)

b. Designing of digital filter in analog domain and transforming into digital domain

c)

c. Designing of analog filter in digital domain and transforming into analog domain

d)

d. Designing of digital filter in digital domain and transforming into analog domain

44.

What does the structure given below represents?

a)

a) Direct form-I

b)

b) Regular Direct form-II

c)

c) Transposed direct form-II

d)

d) None of the mentioned

45.

What does the structure given below represents?

a)

a) Direct form-I

b)

b) Regular Direct form-II

c)

c) Transposed direct form-II

d)

d) None of the mentioned

46.

In Bilinear Transformation, the left half of the S-Plane maps to the

a)

Exterior of the unit circle |Z|=1

b)

Interior of the unit circle |Z|=1

c)

Either interior or exterior of the unit circle

d)

On the circle

47.

The mapping for the Bilinear Transformation is

a)

One to one

b)

One to many

c)

Many to one

d)

Many to many

48.

First step in designing digital filter from analog filter

a)

Derive analog filter transfer function

b)

Map the desired digital filter specifications into those equivalent analog filter

c)

Transform analog filter transfer function into digital filter transfer function

d)

None of the above

49.

The condition for a digital filter to be causal

a)

h(n)=0 for n<0

b)

h(n)=0 for n>0

c)

h(n)=0 for n=0

d)

h(n)=0 for all values of n

50.

Which of the following is true about window design for FIR filter

a)

Windows provided flexibility in design

b)

The ripples in both passband and stop band are almost completely removed

c)

More computational efforts required to obtain filter coefficients

d)

Window functions not readily available in closed form expressions

EC8553 DTSP - IAT #2

Total questions: 50

Worksheet time: 25mins

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