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Signals & Systems Mcqs

Q:

The resulting signal when a continuous time periodic signal x(t) having period T, is convolved with itself is ___________

A) Non-Periodic B) Periodic having period 2T
C) Periodic having period T D) Periodic having period T/2
 
Answer & Explanation Answer: C) Periodic having period T

Explanation: The solution lies with the definition of convolution. Given a periodic signal x (t) having period T. When convolution of a periodic signal with period T occurs with itself, it will give the same period T.

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58
Q:

A Low-pass filter circuit has a cut-off frequency of 1.23 kHz. The bandwidth of the filter is ______________

A) 2.46 kHz B) 1.23 kHz
C) 0.615 kHz D) 3.69 kHz
 
Answer & Explanation Answer: B) 1.23 kHz

Explanation: The bandwidth is defined as the highest cut-off frequency to the lowest cut-off frequency. Here the lowest cut-off frequency is Zero.
For a Low-pass filter, Cut-off Frequency = Bandwidth of the filter
? Bandwidth = 1.23 kHz.

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53
Q:

For providing a Roll-off greater than 20dB/decade/pole, filters with which characteristics are useful?

A) Butterworth B) Chebyshev
C) Bessel D) Butterworth & Bessel
 
Answer & Explanation Answer: B) Chebyshev

Explanation: Roll off is a term commonly refers to the steepness of the transmission function wrt to the frequency.
For a Chebyshev filter, the Roll-off value greater than 20. This characteristic feature is useful when a rapid roll-off is required because it provides a Roll-off rate is more than 20.
On the other hand, both Butterworth and Bessel have the Roll-off rate less than or equal to 20 dB/decade/pole.

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46
Q:

In which of the filter circuits given below, will the bandwidth be equal to the critical frequency?

A) Low-pass B) High-pass
C) Band-pass D) Band-stop
 
Answer & Explanation Answer: A) Low-pass

Explanation: Bandwidth can be calculated by considering,
Largest positive value – Smallest Positive Value
Here, in case of the Low-pass filter only, the largest positive value will of course be the critical frequency, beyond which frequencies have to be blocked. Hence, the bandwidth in a Low-pass filter equals the critical frequency.

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39
Q:

For a Band Pass Filter, the slope of the filter is given as 40dB/decade. The order of the Band Pass Filter is __________

A) 2 B) 3
C) 4 D) 6
 
Answer & Explanation Answer: C) 4

Explanation: The Bode plot is a logarithmic plot which helps in fitting a large scale of values into a small scale by the application of logarithm. Plotting the slope 40dB/decade on the Bode plot, we get n = 4. Hence the order of the Band Pass Filter is 4.

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51
Q:

For a right hand sequence, the ROC is entire z-plane.

A) True B) False
 
Answer & Explanation Answer: B) False

Explanation: If x(n) is finite duration causal sequence (right-sided sequence),the X(z) converges for all values of z except at z = 0. Hence, the ROC is entire z-plane except at z = 0.

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88
Q:

Find the Z-transform of y(n) = x(n+2)u(n).

A) z² X(Z) – z² x(0) – zx(1) B) z² X(Z) + z² x(0) – zx(1)
C) z² X(Z) – z² x(0) + zx(1) D) z² X(Z) + z² x(0) + zx(1)
 
Answer & Explanation Answer: A) z² X(Z) – z² x(0) – zx(1)

Explanation: Not available for this question

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50
Q:

For causal sequences, the ROC is the exterior of a circle of radius r.

A) True B) False
 
Answer & Explanation Answer: A) True

Explanation: Not available for this question

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