Signal Processing MCQ Questions & Answers

11

Laplace transforms of the functions tu(t) and u(t)sin(t) are respectively

A) $${1 \over {{s^2}}},{s \over {{s^2} + 1}}$$ B) $${1 \over s},{1 \over {{s^2} + 1}}$$ C) $${1 \over {{s^2}}},{1 \over {{s^2} + 1}}$$ D) $$s,{s \over {{s^2} + 1}}$$

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

12

If $$x\left[ n \right] = {\left( {{1 \over 3}} \right)^{\left| n \right|}} - {\left( {{1 \over 2}} \right)^n}u\left[ n \right],$$ then the region of convergence (ROC) of its z-transform in the z-plane will be

A) $${1 \over 3} < \left| z \right| < 3$$ B) $${1 \over 3} < \left| z \right| < {1 \over 2}$$ C) $${1 \over 2} < \left| z \right| < 3$$ D) $${1 \over 3} < \left| z \right|$$

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

13

A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low-pass filter with cutoff frequency 800 Hz. The output signal has the frequency

A) Zero Hz B) 0.75 kHz C) 0.5 kHz D) 0.25 kHz

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

14

Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Signal Processing mcq question image

Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.

A) Causal, LP B) BIBO, LTI C) BIBO, Causal, LTI D) LP, LTI

Discuss

Answer & Solution

Answer: Option B

No explanation is given for this question. Let's Discuss on Board

15

A Hilbert transformer is a

A) Non-linear system B) Non-causal system C) Time-varying system D) Low-pass system

Discuss

Answer & Solution

Answer: Option A

No explanation is given for this question. Let's Discuss on Board

16

The trigonometric Fourier series of a periodic time function can have only

A) Cosine terms B) Sine terms C) Cosine and sine terms D) Dc and cosine terms

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

17

The Fourier transform of a signal
h(t) is $$H\left( {j\omega } \right) = {{\left( {2\cos \omega } \right)\left( {\sin \omega } \right)} \over \omega }$$
The value of h(0) is

A) $${1 \over 4}$$ B) $${1 \over 2}$$ C) 1 D) 2

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

18

The output y(t) of a linear time invariant system is related to its input x(t) by the following equation:
y(t) = 0.5x(t - t_d + T) + x(t - t_d) + 0.5x(t - t_d -T).
The filter transfer function H(ω) of such a system is given by

A) $$\left( {1 + \cos \,\omega T} \right){e^{ - j\omega {t_d}}}$$ B) $$\left( {1 + 0.5\cos \omega T} \right){e^{ - j\omega {t_d}}}$$ C) $$\left( {1 - \cos \omega T} \right){e^{ - j\omega {t_d}}}$$ D) $$\left( {1 - 0.5\cos \omega T} \right){e^{ - j\omega {t_d}}}$$

Discuss

Answer & Solution

Answer: Option A

No explanation is given for this question. Let's Discuss on Board

19

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

A) All the poles of the system must lie on the left side of the jω-axis B) Zeros of the system can lie anywhere in the s-plane C) All the poles must lie within |s| = 1 D) All the roots of the characteristic equation must be located on the left side of the jω-axis

Discuss

Answer & Solution

Answer: Option C

No explanation is given for this question. Let's Discuss on Board

20

Consider a six-point decimation-in-time Fast Fourier Transform (FFT) algorithm, for which the signal-flow graph corresponding to X[I] is shown in the figure. Let $${W_6} = \exp \left( { - \frac{{j2\pi }}{6}} \right).$$ In the figure, what should be the values of the coefficients a₁, a₂, a₃ in terms of W₆ so that X[I] is obtained correctly?
Signal Processing mcq question image

A) $${a_1} = 1,{a_2} = W_6^2,{a_3} = {W_6}$$ B) $${a_1} = - 1,{a_2} = W_6^2,{a_3} = {W_6}$$ C) $${a_1} = - 1,{a_2} = {W_6},{a_3} = W_6^2$$ D) $${a_1} = 1,{a_2} = {W_6},{a_3} = W_6^2$$

Discuss

Answer & Solution

Answer: Option D

No explanation is given for this question. Let's Discuss on Board

Signal Processing MCQ Questions & Answers | ECE