Quiz #1 - Signal

What is the main difference between continuous-time signals and discrete-time signals?

• Continuous-time signals are defined at discrete intervals, while discrete-time signals are continuous.

• Discrete-time signals exist only at specific points in time, while continuous-time signals are defined at all times.

• Both are defined only at specific intervals.

• Both are continuous signals represented as numbers.

Which of the following is an example of a continuous-time signal?

• The sound of a live concert.

• A series of temperature readings taken every hour.

• A stock price chart updated daily.

• A digital clock displaying time.

What role does an Analog-to-Digital Converter (ADC) play?

• Converts a discrete signal into a continuous signal.

• Converts a continuous signal into a digital signal.

• Amplifies the signal to higher frequencies.

• Converts a signal into an audio output.

In the sampling process, the time interval between two samples is called:

• Sampling resolution

• Sampling frequency

• Sampling period

• Sampling amplitude

According to the Nyquist theorem, the sampling frequency should be:

• Equal to the maximum frequency of the signal.

• At least twice the maximum frequency of the signal.

• Half the maximum frequency of the signal.

• Independent of the signal's frequency.

What happens if the sampling frequency is below the Nyquist rate?

• The signal is reconstructed perfectly.

• The amplitude of the signal increases.

• Aliasing occurs, causing distortion.

• The frequency of the signal decreases.

Which of the following represents the mathematical formula for a sine wave?

• y(t)=Acos (2πft+φ)y(t) = A \cos(2\pi f t + \phi)

• y(t)=Asin (2πft+φ)y(t) = A \sin(2\pi f t + \phi)

• y(t)=Atsin (2πf)y(t) = A t \sin(2\pi f)

• y(t)=A(2πft)y(t) = A (2\pi f t)

Why is sampling resolution important in an ADC?

• It determines the number of samples taken per second.

• It decides the precision of the amplitude values of a signal.

• It determines the frequency of the signal.

• It improves the signal's duration.

A sine wave with a frequency of 2 kHz is sampled at 4 kHz. What will occur?

• Aliasing will distort the signal.

• The signal will be reconstructed correctly.

• The sampling frequency is too high.

• The wave will appear stationary.

What is the primary purpose of the Nyquist theorem?

• To ensure signals are converted to analog form.

• To prevent distortion during signal reconstruction.

• To increase the amplitude of a signal.

• To reduce the resolution of a signal.