Free Printable Default for NMJ31303 ( Sem 1-2023//2024 )

1.

An IIR Filter having numerator order M and denominator order N is to be realized using direct form II structure. How much total number of multiplications are required?

a)

$M+N+1$

b)

$M+N$

c)

$M+N-1$

d)

$M+N+2$

2.

An IIR Filter having numerator order M and denominator order N is to be realized using direct form II structure. How much total number of additions are required?

a)

$M+N$

b)

$M+N+1$

c)

$M+N-1$

d)

$M+N+2$

3.

An IIR Filter having numerator order M and denominator order N is to be realized using direct form II structure. How much total number of memory locations are required?

a)

maximum of {M,N}

b)

$M+N$

c)

$M+N+1$

d)

$M-N$

4.

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 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 even and M/2 when M is odd

5.

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

a)

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

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 even and M/2 when M is odd

6.

Consider the following statements regarding the impulse invariant method of IIR filter design: 1. After digitizing the analog filter, the impulse invariant response of the original analog filter is preserved. 2. The method is inappropriate for the design of high-pass or band-stop filters. Which of these statement is/are correct?

a)

1 only

b)

2 only

c)

Both 1 and 2

d)

Neither 1 nor 2

7.

What is the order of operations to be performed in order to realize linear phase IIR filter? (i) Passing $x(-n)$ through a digital filter $H(z)$ (ii) Time reversing the output of $H(z)$ (iii) Time reversal of the input signal $x(n)$ (iv) Passing the result through $H(z)$

a)

(i), (ii), (iii), (iv)

b)

(iii), (i), (ii), (iv)

c)

(ii), (iii), (iv), (i)

d)

(i), (iii), (iv), (ii)

8.

If $s=\sigma + j\Omega$ and $z=re^{j\omega}$ and $r=1$ , then which of the following inference is correct?

a)

LHS of the $s$ -plane is mapped inside the circle, $|z|=1$

b)

RHS of the $s$ -plane is mapped outside the circle, $|z|=1$

c)

Imaginary axis in the $s$ -plane is mapped to the circle, $|z|=1$

d)

None of the mentioned

9.

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)

At origin

d)

On the imaginary axis

10.

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

11.

What is the order $N$ of the low pass Butterworth filter in terms of $K_p$ and $K_s$ ?

a)

$N=\dfrac{\log\left(\dfrac{1/K_p^2-1}{1/K_s^2-1}\right)}{2\,\log\left(\dfrac{\Omega_s}{\Omega_p}\right)}$

b)

$N=\dfrac{\log\left(\dfrac{K_s^2-1}{K_p^2-1}\right)}{\log\left(\dfrac{\Omega_s}{\Omega_p}\right)}$

c)

$N=\dfrac{\log\left(\dfrac{K_p^2-1}{K_s^2-1}\right)}{2\,\log\left(\dfrac{\Omega_p}{\Omega_s}\right)}$

d)

$N=\dfrac{\log\left(\dfrac{K_s^2-1}{K_p^2-1}\right)}{2\,\log\left(\dfrac{\Omega_s}{\Omega_p}\right)}$

12.

What is the cutoff frequency of the Butterworth filter with a pass band gain $K_P=-1$ dB at $\Omega_P=4$ rad/sec and stop band attenuation greater than or equal to 20 dB at $\Omega_S=8$ rad/sec?

a)

$3.5787$ rad/sec

b)

$1.069$ rad/sec

c)

$6$ rad/sec

d)

$4.5787$ rad/sec

13.

If $H(s)=\dfrac{1}{s^2+s+1}$ represent the transfer function of a low pass filter (not Butterworth) with a pass band at $1$ rad/sec, then what is the system function of a high pass filter with a cutoff frequency of $1$ rad/sec?

a)

$\dfrac{100}{s^2+10s+100}$

b)

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

c)

$\dfrac{s^2}{s^2+10s+100}$

d)

None of the mentioned

14.

What is the formula for Chebyshev polynomial $T_N(x)$ in recursive form?

a)

$2T_{N-1}(x) - T_{N-2}(x)$

b)

$2T_{N-1}(x) + T_{N-2}(x)$

c)

$2x\,T_{N-1}(x) + T_{N-2}(x)$

d)

$2x\,T_{N-1}(x) - T_{N-2}(x)$

15.

Backward Difference Method, what is the radius of the circle represented by the image of $j\Omega$ axis of the $s$ -domain?

a)

0.75

b)

0.25

c)

1

d)

0.5

16.

Which of the following condition should the unit sample response of a FIR filter satisfy to have a linear phase?

a)

$h(n)=h(M-1-n)$ for $n=0,1,2,\dots,M-1$

b)

$h(n)=\pm h(M-1-n)$ for $n=0,1,2,\dots,M-1$

c)

$h(n)=-h(M-1-n)$ for $n=0,1,2,\dots,M-1$

d)

None of the mentioned

17.

What is the approximate transition width of main lobe of a Blackman window?

a)

$\frac{4\pi}{M}$

b)

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

c)

$\frac{12\pi}{M}$

d)

$\frac{2\pi}{M}$

18.

The lack of precise control of cutoff frequencies is a disadvantage of which of the following designs?

a)

Window design

b)

Chebyshev approximation

c)

Frequency sampling

d)

None of the mentioned

19.

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

a)

0

b)

1

c)

−1

d)

None of the mentioned

20.

Calculate the formant of a female vocal tract is 14.5 cm long and the speed of sound at 340 m/s.

a)

586.20Hz

b)

568.20Hz

c)

5.86Hz

d)

5.68Hz

21.

Which of the following items is NOT included in the discrete wavelet transform denoising procedure?

a)

Decomposition

b)

Reconstruction

c)

Soft thresholding

d)

Differentiation

22.

Which of the following statements is FALSE for the Segmentation of Phonocardiogram?

a)

The detected S1–S2 interval provides information about the systolic part of the PCG cycle.

b)

The interval between S2 and the next onset of S1 provides information about the diastolic part of the PCG cycle.

c)

The detected S1–S2 interval provides information about the diastolic part of the PCG cycle.

d)

I am no sure

23.

Excitation sources in the model of vocal organs can be represented by __________ and ____________.

a)

an impulse generator and a random number noise generator.

b)

an impulse generator and a random number speed generator.

c)

a turbulence and a random number speed generator.

d)

a turbulence and an impulse generator.

24.

The chebyshev-II filter is equi-ripple in pass band and monotonic in the stop band.

a)

True

b)

False

25.

This filter performs the correlation between the input EEG signal and a reference spike and wave template, to provide the peaks at the time of incidence of spikes.

a)

True

b)

False

Default for NMJ31303 ( Sem 1-2023//2024 ) — Worksheet Questions

Total questions: 25

Worksheet time: 19mins

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