Signals and Systems Basics

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Questions and Answers

What is the main difference between a time-domain plot and a frequency-domain plot?

  • Time-domain plots are more commonly used in data communications, while frequency-domain plots are more commonly used in audio analysis.
  • Frequency-domain plots are only used for periodic signals, while time-domain plots can be used for both periodic and non-periodic signals.
  • Time-domain plots show changes in amplitude over time, while frequency-domain plots show the relationship between amplitude and frequency. (correct)
  • Time-domain plots show the phase of the signal, while frequency-domain plots do not.

What is the bandwidth of a composite signal?

  • The average frequency of all the frequencies contained in the signal.
  • The sum of the amplitudes of all the frequencies contained in the signal.
  • The difference between the highest and lowest frequencies contained in the signal. (correct)
  • The total number of frequencies contained in the signal.

If a composite signal is non-periodic, what happens during its decomposition?

  • The composite signal cannot be decomposed at all, since it is non-periodic.
  • The composite signal can be decomposed into a series of simple sine waves with the same frequency, but different amplitudes and phases.
  • The composite signal can be decomposed into a combination of sine waves with continuous frequencies. (correct)
  • The composite signal can be decomposed into a series of simple sine waves with discrete frequencies.

Which of the following statements about periodic and non-periodic composite signals is true?

<p>Both periodic and non-periodic composite signals can be decomposed into a series of simple sine waves, but the frequencies will be discrete for periodic signals and continuous for non-periodic signals. (C)</p> Signup and view all the answers

What is the main purpose of using a composite signal in data communications?

<p>To transmit a signal that cannot be represented by a single sine wave. (B)</p> Signup and view all the answers

Which of the following is a characteristic of digital signals?

<p>Digital signals are always non-periodic. (A)</p> Signup and view all the answers

What is the frequency of a periodic signal with a period of 50 milliseconds?

<p>20 Hz (D)</p> Signup and view all the answers

Which of the following signals is aperiodic?

<p>A ramp signal (D)</p> Signup and view all the answers

What is the peak amplitude of a sine wave that varies between -5 and 5 volts?

<p>10 volts (B)</p> Signup and view all the answers

Which of the following is a characteristic of digital signals?

<p>They can only take on discrete values (A)</p> Signup and view all the answers

What is the phase of a cosine wave that starts at its maximum value?

<p>0 degrees (A)</p> Signup and view all the answers

If the frequency of a periodic signal is doubled, what happens to its period?

<p>The period is halved (A)</p> Signup and view all the answers

What is the frequency of a signal with a period of 100ms?

<p>$10^{-2}$ kHz (D)</p> Signup and view all the answers

Which of the following best describes an aperiodic analog signal?

<p>A continuous signal without a repeated pattern (B)</p> Signup and view all the answers

What is a digital signal?

<p>A signal that represents data in the form of discrete values, typically 0 and 1 (A)</p> Signup and view all the answers

Which of the following is an example of a periodic digital signal?

<p>A square wave (D)</p> Signup and view all the answers

How are digital signals categorized?

<p>Periodic and aperiodic (A)</p> Signup and view all the answers

What is the key difference between an analog aperiodic signal and a digital aperiodic signal?

<p>An analog aperiodic signal is continuous, while a digital aperiodic signal is discrete (C)</p> Signup and view all the answers

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