Free Printable EC8553- DTSP MCQ Test 4

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.

A basic computational unit that sums two or more sequences.

a)

Adder

b)

Multiplier

c)

Subtractor

d)

None of these

4.

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

a)

Multiplier

b)

Adder

c)

Both

d)

None of these

5.

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

6.

Canonical structure is a structure that is implemented using the minimum possible number of delay elements. __________________is a canonical structure.

a)

Direct form I

b)

Direct form II

c)

Both Direct form I & Direct form II

d)

None of these

7.

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

8.

Computation of the analog frequency $\Omega$ from the digital frequency ω using the frequency warping formula so that
the frequency-distortion in bilinear transformation is compensated

a)

Spectral factorization

b)

Zero-phase filtering

c)

Prewarping

d)

all of the above

9.

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

10.

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)

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

11.

The magnitude-squared response of an Nth-order low pass filter is given by

\left|H_{a\ }\left(j\Omega\right)\right|^2=\frac{1}{1+\left(\frac{\Omega}{\Omega_c}\right)^{2N}}

, Where N is the order of the filter and

\Omega_c

is the cut off frequency in rad/sec.Then

\left|H_a\left(j\Omega\right)\right|^{2\ }

is

a)

monotonically decreasing function of Ω

b)

monotonically increasing function of Ω

c)

Both (a) and (b)

d)

constant

12.

The magnitude-squared response of lowpass filter is given by $\left|H_a\left(j\Omega\right)\right|^2=\frac{1}{1+64\Omega^6}$ , then the order of filter is

a)

6

b)

4

c)

3

d)

12

13.

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)

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

14.

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)

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

15.

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

16.

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

17.

Practically realizable IIR filters, that is, causal and stable filters with rational system functions have a ________________ phase response, which complicates filter design using optimization techniques.

a)

nonlinear

b)

Linear

c)

inverse

d)

constant

18.

The impulse invariance and bilinear mappings are two most popular transformations that convert analog into digital filters. The better and more versatile of the two is _______________

a)

bilinear mapping.

b)

impulse invariance mapping

c)

both

d)

Fourier transform

19.

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

20.

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

21.

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

22.

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)

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

23.

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)

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

24.

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

25.

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

26.

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

a)

Finite

b)

Infinite

c)

Impulse(very small)

d)

Zero

27.

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

28.

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

29.

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

30.

If a continuous time signal x(t) with spectrum X(F) is sampled at a rate Fs=1/T samples per second, the spectrum of the sampled signal is _____________

a)

Non periodic repetition

b)

Non periodic non-repetition

c)

Periodic repetition

d)

None of the mentioned

EC8553- DTSP MCQ Test 4

Total questions: 30

Worksheet time: 30mins

Similar Resources on Wayground