A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos2(4π × 103t). The convolved signal will be a

A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos2(4π × 103t). The convolved signal will be a <img src="/images/question-image/electronics-and-communications-engineering/signal-processing/1681536807-a-rectangular-pulse-train-st-as.jpg" title="Signal Processing mcq question image" alt="Signal Processing mcq question image">

There is only one rail track between stations A and B on a railway line. One hour after the northbound superfast train N leaves station A for station B, the southbound passenger train S reaches station A from station B. The speed of superfast train is twice that of express train E, while the speed of passenger train S is half of that of train E. On some one day train N leaves from station A to station B 20 minutes late than its usual schedule. Both Train N and Train S have increased their speed to maintain the schedule as per the table. If the superfast train doubles its speed, then what should be the ratio (approximately) of the speed of the passenger train to the speed of the superfast train so that the passenger train reaches the station on that day at the exact scheduled time.

A

1 ∶ 4

B

1 ∶ 5

C

6 : 1

D

3 : 17

Increased pulse-width in the flat-top sampling, leads to
Signal Processing mcq question image

A

Attenuation of high frequencies in reproduction

B

Attenuation of low frequencies in reproduction

C

Greater aliasing errors in reproduction

D

No harmful effects in reproduction

Consider the system shown in the figure below. The transfer function $$\frac{{Y\left( z \right)}}{{X\left( z \right)}}$$ of the system is
Signal Processing mcq question image

A

$$\frac{{1 + a{z^{ - 1}}}}{{1 + b{z^{ - 1}}}}$$

B

$$\frac{{1 + b{z^{ - 1}}}}{{1 + a{z^{ - 1}}}}$$

C

$$\frac{{1 + a{z^{ - 1}}}}{{1 - b{z^{ - 1}}}}$$

D

$$\frac{{1 - b{z^{ - 1}}}}{{1 - a{z^{ - 1}}}}$$

The function x(t) is shown in the figure. Even and odd parts of a unit-step function u(t) are respectively,
Signal Processing mcq question image

A

$$\frac{1}{2},\frac{1}{2}x\left( t \right)$$

B

$$ - \frac{1}{2},\frac{1}{2}x\left( t \right)$$

C

$$\frac{1}{2}, - \frac{1}{2}x\left( t \right)$$

D

$$ - \frac{1}{2}, - \frac{1}{2}x\left( t \right)$$

For the discrete-time system shown in the figure, the poles of the system transfer function are located at
Signal Processing mcq question image

A

2, 3

B

$$\frac{1}{2},3$$

C

$$\frac{1}{2},\frac{1}{3}$$

D

$$2,\frac{1}{3}$$

The magnitude and phase of the complex Fourier series coefficient a_k of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
Signal Processing mcq question image

A

$$x\left( t \right) \in R$$

B

$$x\left( t \right) \in P$$

C

$$x\left( t \right) \in \left( {C - R} \right)$$

D

The information given is not sufficient to draw any conclusion about x(t)

The Laplace transform of the causal periodic square wave of period T shown in the figure below is It
Signal Processing mcq question image

A

$$F\left( s \right) = \frac{1}{{1 + {e^{ - \frac{{sT}}{2}}}}}$$

B

$$F\left( s \right) = \frac{1}{{s\left( {1 + {e^{ - \frac{{sT}}{2}}}} \right)}}$$

C

$$F\left( s \right) = \frac{1}{{s\left( {1 - {e^{ - \frac{{sT}}{2}}}} \right)}}$$

D

$$F\left( s \right) = \frac{1}{{1 - {e^{ - sT}}}}$$

Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in the figure. Then Y(f) is
Signal Processing mcq question image

A

$$ - \frac{1}{2}X\left( {\frac{f}{2}} \right){e^{ - j2\pi f}}$$

B

$$ - \frac{1}{2}X\left( {\frac{f}{2}} \right){e^{j2\pi f}}$$

C

$$ - X\left( {\frac{f}{2}} \right){e^{j2\pi f}}$$

D

$$ - X\left( {\frac{f}{2}} \right){e^{ - j2\pi f}}$$

The impulse response and the excitation function of a linear time invariant causal system are shown in figure (a) and (b) respectively. The output of the system at t = 2 sec is equal to
Signal Processing mcq question image

A

0

B

$$\frac{1}{2}$$

C

$$\frac{3}{2}$$

D

1

One period (0, T) each of two periodic waveforms W₁ and W₂ are shown in the figure. The magnitudes of the nth Fourier series coefficients of W₁ and W₂, for n ≥ 1, n is odd, are respectively proportional to
Signal Processing mcq question image

A

|n|^-3 and |n|^-2

B

|n|^-1 and |n|^-3

C

|n|^-1 and |n|^-2

D

|n|^-4 and |n|^-2

A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos²(4π × 10³t). The convolved signal will be a

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