Time-Domain Signal Operations: Interactive Learning Quizzes

Question 1

Which of the following operations is NOT performed in the time domain?

Accepted Answer

Convolution

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 2

Which operation on signals is commutative?

Accepted Answer

Addition

Answer

Subtraction

Answer

Multiplication

Answer

Division

Question 3

What is the result of subtracting a constant value from a signal?

Accepted Answer

A signal with a different amplitude

Answer

A constant

Answer

A signal with a different frequency

Answer

Zero

Question 4

What is the effect of dividing a signal by a constant?

Accepted Answer

Amplitude scaling

Answer

Frequency scaling

Answer

Phase shift

Answer

Time scaling

Question 5

What is the result of subtracting two sinusoids with the same frequency?

Accepted Answer

A sinusoid with a different amplitude

Answer

A sinusoid with a different frequency

Answer

A constant

Answer

A decaying exponential

Question 6

Which operation is used to find the average value of a signal?

Accepted Answer

Integration

Answer

Addition

Answer

Subtraction

Answer

Differentiation

Question 7

What is the effect of sampling a signal?

Accepted Answer

Creating a discrete signal

Answer

Creating a continuous signal

Answer

Increasing the frequency of the signal

Answer

Decreasing the amplitude of the signal

Question 8

What is the purpose of a unit impulse function?

Accepted Answer

To represent a sudden change in signal value

Answer

To filter out noise from a signal

Answer

To amplify a signal

Answer

To integrate a signal

Question 9

Which time-domain operation maintains the frequency and phase of a signal while altering its amplitude?

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Answer

Division

Question 10

Describe the effects of addition and subtraction operations on signals. Explain how these operations can be used to achieve specific outcomes in signal processing applications.

Accepted Answer

Addition increases signal amplitude while subtraction decreases it.

Accepted Answer

Addition and subtraction do not affect the frequency components of a signal.

Accepted Answer

Subtraction is primarily used for noise reduction, while addition is not typically used for that purpose.

Question 11

Which mathematical operation on signals is commutative, meaning that the order of the operands does not affect the result?

Accepted Answer

Addition

Answer

Subtraction

Answer

Multiplication

Answer

Division

Question 12

What is the effect of dividing one signal by another?

Accepted Answer

The resulting signal has a value that is the reciprocal of the numerator signal divided by the denominator signal.

Answer

The resulting signal has a value that is the numerator signal multiplied by the denominator signal.

Answer

The resulting signal has a value that is the numerator signal subtracted from the denominator signal.

Answer

The resulting signal has a value that is the denominator signal added to the numerator signal.

Question 13

When a signal is scaled by a constant, what aspect of the signal is affected?

Accepted Answer

Magnitude

Answer

Duration

Answer

Phase

Answer

Frequency

Question 14

In the time domain, how is the convolution of two signals mathematically represented?

Accepted Answer

The sum of products of the signals at all possible time shifts.

Answer

The product of sums of the signals at all possible time shifts.

Answer

The difference of products of the signals at all possible time shifts.

Answer

The quotient of sums of the signals at all possible time shifts.

Question 15

Which mathematical operation is commonly used to determine the area under a signal?

Accepted Answer

Integration

Answer

Differentiation

Answer

Convolution

Answer

Correlation

Question 16

Which of the following operations is NOT considered a valid time-domain operation on signals?

Accepted Answer

Differentiation

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 17

Given x(t) = 3t and y(t) = t^2, what is the result of x(t) - y(t)?

Accepted Answer

2t - t^2

Answer

2t + t^2

Answer

3t - t^2

Answer

-3t + t^2

Question 18

What is the primary effect of multiplying a signal by a constant?

Accepted Answer

Scaling of amplitude

Answer

Shifting in time

Answer

Inversion

Answer

Change in frequency

Question 19

Which of the following signals exhibits periodicity?

Accepted Answer

x(t) = sin(2πt)

Answer

x(t) = e^(-t)

Answer

x(t) = t^2

Answer

x(t) = randn(t)

Question 20

Which operation can be employed to find the derivative of a signal?

Accepted Answer

Time differentiation

Answer

Fourier transform

Answer

Convolution

Answer

Laplace transform

Question 21

What is the integral of the unit step function?

Accepted Answer

Unit ramp function

Answer

Unit impulse function

Answer

Unit parabolic function

Answer

Unit exponential function

Question 22

In time-domain, what is the interpretation of the convolution operation?

Accepted Answer

Filtering

Answer

Correlation

Answer

Differentiation

Answer

Integration

Question 23

When two identical signals are subtracted, the resulting signal is:

Accepted Answer

A zero signal

Answer

A doubled signal

Answer

An inverted signal

Answer

A negated signal

Question 24

Which time-domain operation amplifies the amplitude of a signal?

Accepted Answer

Multiplication by a constant greater than one

Answer

Addition of a constant

Answer

Subtraction of a constant

Answer

Division by a constant

Question 25

The effect of dividing a continuous-time signal by a positive constant is to:

Accepted Answer

Scale down the signal's amplitude

Answer

Scale up the signal's amplitude

Answer

Shift the signal in time

Answer

Invert the signal's polarity

Question 26

When adding two continuous-time signals with different durations, the duration of the resulting signal:

Accepted Answer

Is equal to the duration of the longer signal

Answer

Is greater than the duration of both signals

Answer

Is less than the duration of both signals

Answer

Is equal to the duration of the shorter signal

Question 27

When multiplying two continuous-time signals, the resulting signal:

Accepted Answer

Has a frequency spectrum that is the convolution of the input signals' frequency spectra

Answer

Has a frequency spectrum that is the sum of the input signals' frequency spectra

Answer

Has a frequency spectrum that is independent of the input signals' frequency spectra

Answer

Has a frequency spectrum that is the difference of the input signals' frequency spectra

Question 28

Which operation can be used to shift a continuous-time signal in time?

Accepted Answer

Addition or subtraction of a constant

Answer

Integration or differentiation

Answer

Convolution or correlation

Answer

Multiplication or division by a constant

Question 29

To obtain a signal that is the result of combining two signals, which operation should be performed?

Accepted Answer

Addition

Answer

Division

Answer

Subtraction

Answer

Multiplication

Question 30

When a signal is subtracted from itself, the resulting signal is:

Accepted Answer

Zero signal

Answer

Twice the original signal

Answer

Half the original signal

Answer

Original signal unchanged

Question 31

Dividing a signal by a constant results in:

Accepted Answer

Scaling of the signal

Answer

Signal inversion

Answer

Signal shifted in time

Question 32

To achieve a time-shifted version of a signal, which operation should be applied?

Accepted Answer

Addition of a constant

Answer

Division by a constant

Answer

Multiplication by a constant

Answer

Subtraction of a constant

Question 33

Multiplying a signal by a unit step function has the effect of:

Accepted Answer

Setting the signal to zero before the step

Answer

Signal shifted in time

Answer

Signal multiplied by the step height

Answer

Signal remains unaffected

Question 34

To remove a specific portion of a signal, which operation is employed?

Accepted Answer

Multiplication by a rectangular window

Answer

Addition of a rectangular window

Answer

Subtraction of a rectangular window

Answer

Division by a rectangular window

Question 35

Convolving a signal with a delta function results in:

Accepted Answer

No change to the signal

Answer

Signal scaled

Answer

Signal shifted in time

Answer

Signal inverted

Question 36

To calculate the average value of a signal over time, which operation is used?

Accepted Answer

Integration

Answer

Differentiation

Answer

Convolution

Answer

Sampling

Question 37

The relationship between the derivative of a signal and its time-shifted version is that the derivative:

Accepted Answer

Is shifted by the same amount

Answer

Is inverted

Answer

Remains unaffected

Answer

Is scaled by the shift amount

Question 38

Which time-domain operation on two positive-valued signals results in the signal with the largest magnitude?

Accepted Answer

Addition

Answer

Subtraction

Answer

Division

Answer

Multiplication

Question 39

What is the result of subtracting a signal from itself?

Accepted Answer

A zero signal

Answer

A signal with half the amplitude

Answer

A signal with negative amplitude

Answer

A signal with twice the amplitude

Question 40

Which time-domain operation(s) are used to find the average value of two signals?

Accepted Answer

Addition followed by division by 2

Answer

Division followed by multiplication by 2

Answer

Subtraction followed by division by 2

Answer

Multiplication followed by division by 2

Question 41

What is the effect of multiplying a signal by a constant less than 1?

Accepted Answer

Decreases the signal's amplitude

Answer

Shifts the signal in time

Answer

Increases the signal's amplitude

Answer

Inverts the signal

Question 42

Which time-domain operation can be used to shift a signal in time?

Accepted Answer

Adding or subtracting a constant time delay

Answer

Division by a constant

Answer

None of the above

Answer

Multiplication by a constant

Question 43

What is the result of dividing one signal by another signal?

Accepted Answer

A signal that represents the ratio of their amplitudes

Answer

A signal that represents the sum of their amplitudes

Answer

A signal that represents the difference of their amplitudes

Question 44

Which time-domain operation is used to find the maximum value of two signals?

Accepted Answer

Selecting the signal with the larger value at each time point

Answer

Multiplying the two signals together

Answer

Adding the two signals together

Answer

Subtracting the smaller signal from the larger signal

Question 45

What is the effect of subtracting a signal from itself and then multiplying by 2?

Accepted Answer

The result is a zero signal

Answer

Halves the signal's amplitude

Answer

Shifts the signal in time

Answer

Inverts the signal

Question 46

Which of the following equations demonstrates the associative property of addition in time-domain operations?

Accepted Answer

(A + B) + C = A + (B + C)

Answer

(A / B) / C = A / (B / C)

Answer

(A * B) * C = A * (B * C)

Answer

(A - B) - C = A - (B - C)

Question 47

If you multiply a signal x(t) by a constant 'a', how does this affect the signal's amplitude?

Accepted Answer

The signal's amplitude is scaled by a factor of 'a'.

Answer

The frequency of the signal is multiplied by 'a'.

Answer

The signal is inverted (flipped about the horizontal axis).

Answer

The signal is shifted in time by 'a' units.

Question 48

When two signals, x(t) and y(t), are added together, what is the amplitude of the resulting signal at any given time 't'?

Accepted Answer

The sum of the amplitudes of x(t) and y(t) at that specific time 't'.

Answer

The difference of the amplitudes of x(t) and y(t) at that specific time 't'.

Answer

The product of the amplitudes of x(t) and y(t) at that specific time 't'.

Question 49

What is the result of subtracting a signal y(t) from another signal x(t)?

Accepted Answer

A new signal where the amplitude at each time 't' is the difference between the amplitudes of x(t) and y(t) at that time.

Answer

The product of x(t) and y(t) at each point in time.

Question 50

If you multiply a signal x(t) by another signal y(t), what is the amplitude of the resulting signal at a specific time 't'?

Accepted Answer

The product of the amplitudes of x(t) and y(t) at that specific time 't'.

Answer

The sum of the amplitudes of x(t) and y(t) at that specific time 't'.

Answer

The difference of the amplitudes of x(t) and y(t) at that specific time 't'.

Question 51

What is the effect of dividing a signal x(t) by another signal y(t)?

Accepted Answer

The resulting signal's amplitude at each time 't' is the quotient of the amplitude of x(t) divided by the amplitude of y(t) at that time.

Answer

The signal x(t) is shifted in time by the value of y(t) at each point in time.

Question 52

If you delay a signal x(t) by 'T' units of time, how does this affect the signal?

Accepted Answer

The signal is shifted to the right along the time axis by 'T' units.

Answer

The signal's amplitude is scaled by 'T'.

Answer

The signal's frequency is multiplied by 'T'.

Question 53

A periodic signal with a period of 'T' is time-shifted by 'T/2'. What happens to the signal?

Accepted Answer

The signal remains unchanged, as it is shifted by half its period.

Answer

The signal's amplitude is halved.

Answer

The signal is shifted by half its period, resulting in a new waveform.

Answer

The signal's frequency is doubled.

Question 54

If you flip a signal x(t) about the vertical axis, what is the resulting signal?

Accepted Answer

x(-t)

Answer

x(t + 1)

Answer

-x(t)

Answer

x(t - 1)

Question 55

You have a signal x(t) and want to create a new signal that is identical but shifted 2 units to the left on the time axis. Which of the following represents this shifted signal?

Accepted Answer

x(t + 2)

Answer

x(t - 2)

Answer

x(t) - 2

Answer

x(t) + 2

Question 56

When a signal x(t) is multiplied by a time-varying function y(t), how does this affect the signal?

Accepted Answer

The amplitude of x(t) is modulated by y(t) at each point in time.

Answer

The signal x(t) is shifted in time by the value of y(t).

Answer

The frequency of x(t) is multiplied by the amplitude of y(t).