Free Printable EC 8553 DTSP

1.

What is the circular convolution of the sequences X1(n)={2,1,2,1} and x2(n)=(1,2,3,4)

a)

{14,14,16,16}

b)

{16,16,14,14}

c)

{2,3,6,4}

d)

{14,16,14,16}

2.

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

3.

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

4.

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

5.

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

6.

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

7.

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

8.

The process of discarding all bits less significant than LSB that is retained,

a)

Truncation

b)

Rounding

c)

Fixed point representation

d)

None of the above

9.

In DSP processors, which among the following maintains the track of addresses of input data as well as the coefficients stored in data and program memories?

a)

Data Address Generators (DAGs)

b)

Program sequences

c)

Barrel Shifter

d)

MAC

10.

Which type of architecture uses different storage space for program code and the data?

a)

Von Neumann architecture

b)

Harvard architecture

c)

Fragmented architecture

d)

Split cell architecture

11.

Which of the following instructions supports parallel execution?

a)

VLIW

b)

TTA

c)

ALU operation

d)

Test-and-set instructions

12.

Which of the processor is a good match for applications such as video games?

a)

GPU

b)

VLIW

c)

Coprocessor

d)

Microcontroller

13.

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

14.

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

15.

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

16.

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

17.

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

18.

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)

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

19.

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

20.

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

21.

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

22.

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

23.

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

24.

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

25.

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)

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

26.

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)

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

27.

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

28.

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

29.

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)

30.

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)

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

31.

Approximate transition width of main lobe of Hamming window is

a)

$\frac{8\pi}{M}$

b)

$\frac{8\pi}{M+1}$

c)

$\frac{8\pi}{M-1}$

d)

$\frac{6\pi}{M-1}$

32.

An FIR filter of length M having the unit sample response $h\left(n\right)=\frac{\left(\sin\ \omega\ _c\left(n-\frac{\left(M-1\right)}{2}\right)\right)}{\pi\ \left(n-\frac{\left(M-1\ \right)}{2}\right)},\ n\ne\frac{\left(M-1\right)}{2}$ if M is selected to be odd, the value of h(n) at $n=\frac{\left(M-1\right)}{2\ }$ is

a)

$h\left(\frac{M-1}{2}\right)=\frac{\omega_c}{\pi}$

b)

$h\left(\frac{M-1}{2}\right)=\frac{\omega_c}{2\pi}$

c)

$h\left(\frac{M-1}{2}\right)=\frac{\omega_c}{2}$

d)

$h\left(\frac{M-1}{2}\right)=\frac{\omega_c}{\pi^{2\ }}$

33.

Peak sidelobe of -13 dB connected to

a)

Hanning Window

b)

Hamming Window

c)

Rectangular window

d)

Barlett Window

34.

The Fourier Transform of the Rectangular window is
$W_R\left(\omega\ \right)=e^{-\left(j\omega\ \frac{\left(M-1\right)}{2}\right)}\ \left(\frac{\sin\left(\frac{\omega M}{2}\right)}{\sin\left(\frac{\omega}{2}\right)}\right)$
the Phase response is

a)

$\theta\left(\omega\right)=\left\{-\omega\left(\frac{\left(M-1\right)}{2}\right)\right\},\ When\ \sin\left(\frac{\omega M}{2}\right)\ge0$

b)

$\theta\left(\omega\right)=\left\{-\omega\left(\frac{\left(M+1\right)}{2}\right)\right\},\ When\ \sin\left(\frac{\omega M}{2}\right)\ge0$

c)

$\theta\left(\omega\right)=\left\{\omega\left(\frac{\left(M-1\right)}{2}\right)\right\},\ When\ \sin\left(\frac{\omega M}{2}\right)\ge0$

d)

$\theta\left(\omega\right)=\left\{\omega\left(\frac{\left(M+1\right)}{2}\right)\right\},\ When\ \sin\left(\frac{\omega M}{2}\right)\ge0$

35.

The truncation of the Fourier series is known to introduce ripples in the frequency response characteristic H(ω) due to the nonuniform convergence of the Fourier series at a discontinuity. The oscillatory behavior near the band edge of the filter is called the

a)

Gibbs phenomenon

b)

Pass band ripple

c)

Change in Transition band

d)

None of these

36.

Frequency response of Rectangular window is

a)

W_R\left(\omega\ \right)=\frac{\sin\left(\omega\ \frac{M}{2}\right)}{\sin\left(\frac{\omega}{2}\right)}

b)

$W_R\left(\omega\ \right)=\frac{\sin\left(\omega\ M\right)}{\sin\left(\omega\right)}$

c)

$W_R\left(\omega\ \right)=\frac{\sin\left(\omega\ \frac{M}{2}\right)}{\left(\frac{\omega}{2}\right)}$

d)

$W_R\left(\omega\ \right)=\frac{\sin\left(\omega\ \frac{M-1}{2}\right)}{\sin\left(\frac{\omega}{2}\right)}$

37.

What is the nyquist rate of the signal x(t)=3cos(50*pi*t)+10sin(300*pi*t)-cos(100*pi*t)?

a)

50Hz

b)

100Hz

c)

200Hz

d)

300Hz

38.

What is the discrete-time signal obtained after sampling the analog signal x(t)=cos(2000*pi*t)+sin(5000*pi*t) at a sampling rate of 5000samples/sec?

a)

cos(2.5*pi*n)+sin(pi*n)

b)

cos(0.4*pi*n)+sin(pi*n)

c)

cos(2000*pi*n)+sin(5000*pi*n)

d)

None of the mentioned

39.

Which bit coder is required to code a signal with 16 levels?

a)

8 bit

b)

4 bit

c)

2 bit

d)

1 bit

40.

What is the dead band of a single pole filter with a pole at 3/4 and represented by 4 bits?

a)

(-1/2,1/2)

b)

(-1/8,1/8)

c)

(-1/4,1/4)

d)

(-1/16,1/16)

41.

In the equation

SQNR = 6.02b + 16.81 – $20\log_{10}⁡\frac{R}{σ_x}$ for R = 6σx the equation becomes?

a)

SQNR = 6.02b-1.25 dB

b)

SQNR = 6.87b-1.55 dB

c)

SQNR = 6.02b+1.25 dB

d)

SQNR = 6.87b+1.25 dB

42.

In the mathematical model for the quantization error eq (n), to carry out the analysis, what are the assumptions made about the statistical properties of eq (n)?

i. The error eq (n) is uniformly distributed over the range — Δ/2 < eq (n) < Δ/2.

ii. The error sequence is a stationary white noise sequence. In other words, the error eq (m) and the error eq (n) for m≠n are uncorrelated.

iii. The error sequence {eq (n)} is uncorrelated with the signal sequence x(n).

iv. The signal sequence x(n) is zero mean and stationary.

a)

i, ii & iii

b)

i, ii, iii, iv

c)

i, iii

d)

ii, iii, iv

43.

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

a)

True

b)

False

44.

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

45.

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

46.

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

47.

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

a)

$\sum_{n=0}^{M-1}h(n)e^{jωn}$

b)

$\sum_{n=0}^Mh(n)e^{jωn}$

c)

$\sum_{n=0}^Mh(n)e^{-jωn}$

d)

$\sum_{n=0}^{M-1}h(n)e^{-jωn}$

48.

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

49.

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

50.

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

EC 8553 DTSP - MODEL QP

Total questions: 50

Worksheet time: 50mins

Similar Resources on Wayground