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Test: Signal Classification & Properties - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test Signals and Systems - Test: Signal Classification & Properties

Test: Signal Classification & Properties for Electrical Engineering (EE) 2024 is part of Signals and Systems preparation. The Test: Signal Classification & Properties questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Signal Classification & Properties MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Signal Classification & Properties below.
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Test: Signal Classification & Properties - Question 1

 Which of the following signals are monotonic in nature?

Detailed Solution for Test: Signal Classification & Properties - Question 1

All of the other functions have a periodic element in them, which means the function attains the same value after a period of time, which should not occur for a monotonic function.

Test: Signal Classification & Properties - Question 2

 What is the period of the following signal, x(t) = sin(18*pi*t + 78 deg)?

Detailed Solution for Test: Signal Classification & Properties - Question 2

The period of a signal is the length of one complete cycle of the signal. To find the period of the given signal, we need to find the length of time it takes for the signal to repeat itself.

The signal x(t) = sin(18pit + 78 deg) can be rewritten as x(t) = sin(2pit + 78/180*pi). The frequency of a signal is the number of cycles per second, and is related to the period by the equation T = 1/f, where T is the period and f is the frequency. In this case, the frequency of the signal is f = 18/2 = 9 cycles/second. Therefore, the period of the signal is T = 1/f = 1/9 seconds/cycle = 1⁄9 seconds/cycle.

The correct answer is therefore 1⁄9.

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Test: Signal Classification & Properties - Question 3

Which of the following signals is monotonic?

Detailed Solution for Test: Signal Classification & Properties - Question 3

reduces to 1 – 2t, which is a strictly decreasing function.

Test: Signal Classification & Properties - Question 4

For the signal, x(t) = log(cos(a*pi*t+d)) for a = 50 Hz, what is the time period of the signal, if periodic?

Detailed Solution for Test: Signal Classification & Properties - Question 4

Time period = 2*pi/(50)pi = 1/25 = 0.04s

Test: Signal Classification & Properties - Question 5

What are the steady state values of the signals, 1-exp(-t), and 1-k*exp(-k*t)?

Detailed Solution for Test: Signal Classification & Properties - Question 5

Consider limit at t tending to infinity, we obtain 1 for both cases.

Test: Signal Classification & Properties - Question 6

For a bounded function, is the integral of the function from -infinity to +infinity defined and finite?

Detailed Solution for Test: Signal Classification & Properties - Question 6

If the bounded function, is say y = 2, then the integral ceases to hold. Similarly, if it is just the block square function, it is finite. Hence, it depends upon the spread of the signal on either side. If the spread is finite, the integral will be finite.

Test: Signal Classification & Properties - Question 7

For the signal x(t) = a – b*exp(-ct), what is the steady state value, and the initial value?

Detailed Solution for Test: Signal Classification & Properties - Question 7

Put the limits as t tends to infinity and as t tends to zero.

Test: Signal Classification & Properties - Question 8

For a double sided function, which is odd, what will be the integral of the function from -infinity to +infinity equal to?

Detailed Solution for Test: Signal Classification & Properties - Question 8

For an odd function, f(-x) = -f(x), thus the integrals will cancel each other, giving zero.

Test: Signal Classification & Properties - Question 9

Find where the signal x(t) = 1/(t2 – 3t + 2) finds its maximum value between (1.25, 1.75):

Detailed Solution for Test: Signal Classification & Properties - Question 9

Differentiate the function for an optima, put it to zero, we will obtain t = 1.5 as the required instant.

Test: Signal Classification & Properties - Question 10

 Is the signal x(t) = exp(-t)*sin(t) periodic in nature?

Detailed Solution for Test: Signal Classification & Properties - Question 10

Though sin(t) is a periodic function, exp(-t) is not a periodic function, thus leading to non-periodicity.

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