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Analog & Digital Signals

     Digital Electronics
Analog & Digital Signals
This presentation will
• Review the definitions of analog and digital signals.
• Detail the components of an analog signal.
• Define logic levels.
• Detail the components of a digital signal.
• Review the function of the virtual oscilloscope.



                                                     2
Analog and Digital Signals
Analog Signals                  Digital Signals
• Continuous                    • Discrete
• Infinite range of values      • Finite range of values (2)
• More exact values, but        • Not as exact as analog,
  more difficult to work with     but easier to work with
Example:
  A digital thermostat in a room displays a temperature
  of 72°. An analog thermometer measures the room
  temperature at 72.482°. The analog value is
  continuous and more accurate, but the digital value is
  more than adequate for the application and
                                                               3
  significantly easier to process electronically.
Example of Analog Signals
     •    An analog signal can be any time-varying signal.
     •    Minimum and maximum values can be either positive or negative.
     •    They can be periodic (repeating) or non-periodic.
     •    Sine waves and square waves are two common analog signals.
     •    Note that this square wave is not a digital signal because its
          minimum value is negative.




0 volts



                Sine Wave           Square Wave        Random-Periodic
                                      (not digital)                        4
Parts of an Analog Signal

                             Period
                              (T)

                                      Frequency:
                 Amplitude
                   (peak)                   1
                                         F = Hz
Amplitude
(peak-to-peak)
                                            T




                                                   5
Logic Levels
Before examining digital signals, we must define logic levels.
A logic level is a voltage level that represents a defined
digital state.
Logic HIGH: The higher of two voltages, typically 5 volts
Logic LOW: The lower of two voltages, typically 0 volts
5.0 v


        Logic High
                     Logic Level Voltage   True/False   On/Off   0/1
                       HIGH      5 volts     True        On      1
2.0 v
          Invalid       LOW      0 volts     False       Off     0
           Logic
0.8 v      Level

0.0 v   Logic Low                                                      6
Example of Digital Signals
    •     Digital signal are commonly referred to as square waves or clock
          signals.
    •     Their minimum value must be 0 volts, and their maximum value
          must be 5 volts.
    •     They can be periodic (repeating) or non-periodic.
    •     The time the signal is high (tH) can vary anywhere from 1% of the
          period to 99% of the period.
5 volts



0 volts




                                                                              7
Parts of a Digital Signal
Amplitude:
  For digital signals, this will ALWAYS be                                                 Falling Edge
  5 volts.
Period:




                                               Amplitude
  The time it takes for a periodic signal to
  repeat. (seconds)                                         Time        Time
                                                            High         Low
Frequency:                                                   (tH)         (tL)
  A measure of the number of
  occurrences of the signal per second.
  (Hertz, Hz)
                                                                                               Rising Edge
Time High (tH):
                                                             Period (T)
  The time the signal is at 5 v.
Time Low (tL):
  The time the signal is at 0 v.                           Frequency:
Duty Cycle:                                                         1                          tH
  The ratio of tH to the total period (T).                    F=      Hz         DutyCycle =      × 100%
                                                                    T                          T
Rising Edge:
  A 0-to-1 transition of the signal.
Falling Edge:                                                                                         8
   A 1-to-0 transition of the signal.
Oscilloscope
• The Oscilloscope is a piece of electronic
  test equipment that is used to capture and
  measure time-varying signals, both analog
  and digital.
• Oscilloscopes can be found on the
  workbench (physical) as well as part of a
  simulation tool (virtual).
• We will limit our usage to the virtual
  oscilloscope.
                                           9
Virtual Oscilloscope: Multisim
                   Oscilloscope Instrumentation                           Oscilloscope
                                                                           Component




                                                               Markers:
            Displayed Signals                                    Movable markers
                                                                 T1 & T2

                                                               Marker Display:
                                                                 Displays the voltage & time
                                                                 intersect for the markers T1
                                                                 & T2.


Timebase:                          Channel_X:                  Channel Selection
  Adjusts the time scale and         Adjusts the horizontal
  offset of the signals. This is     scale and offset of the
  common for all channels.           selected channel.                                   10
Example: Digital Signal
Example:
   Determine the following information for the digital signal shown:
   •Amplitude
   •Period (T)
   •Frequency (f)
   •Time High (tH)
   •Time Low (tL)
   •Duty Cycle (DC)




                                                                       11
Example: Digital Signal
Solution:
  Amplitude:
                            2V
    Amplitude = 2.5 div ×
                            div
    Amplitude = 5 v
                                  2 ms / div

                                               2 v / div
  Period (T):
                  2 ms
    T = 4 div ×
                   div
    T = 8 ms


  Frequency (f):
        1    1
    f=    =
        T 8 ms
    f = 125 Hz
                                                           12
Example: Digital Signal
Solution:
  Time High (tH):
                      2 ms
    t H = 2.4 div ×
                       div
    t H = 4.8 ms
                                2 ms / div

                                             2 v / div
  Time Low (tL):
                      2 ms
    t L = 1.6 div ×
                       div
    t L = 3.2 ms


  Duty Cycle (DC):
         tH
    DC =    × 100%
         T
           4.8 ms
    DC ==          × 100%
            8 ms
                                                         13
    DC = 60%
Period Measurement with Markers
The markers can be used to measure the
period tH & tL (next slide).

                              Period (T):
                                 T = 8 ms




                                            14
tH & tL Measurement with Markers
 Low High ( tL):
   t L = 3.214 ms




                    Time High ( tH):
                        t H = 4.786 ms
                                         15

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Analog digitalsignals

  • 1. Analog & Digital Signals Digital Electronics
  • 2. Analog & Digital Signals This presentation will • Review the definitions of analog and digital signals. • Detail the components of an analog signal. • Define logic levels. • Detail the components of a digital signal. • Review the function of the virtual oscilloscope. 2
  • 3. Analog and Digital Signals Analog Signals Digital Signals • Continuous • Discrete • Infinite range of values • Finite range of values (2) • More exact values, but • Not as exact as analog, more difficult to work with but easier to work with Example: A digital thermostat in a room displays a temperature of 72°. An analog thermometer measures the room temperature at 72.482°. The analog value is continuous and more accurate, but the digital value is more than adequate for the application and 3 significantly easier to process electronically.
  • 4. Example of Analog Signals • An analog signal can be any time-varying signal. • Minimum and maximum values can be either positive or negative. • They can be periodic (repeating) or non-periodic. • Sine waves and square waves are two common analog signals. • Note that this square wave is not a digital signal because its minimum value is negative. 0 volts Sine Wave Square Wave Random-Periodic (not digital) 4
  • 5. Parts of an Analog Signal Period (T) Frequency: Amplitude (peak) 1 F = Hz Amplitude (peak-to-peak) T 5
  • 6. Logic Levels Before examining digital signals, we must define logic levels. A logic level is a voltage level that represents a defined digital state. Logic HIGH: The higher of two voltages, typically 5 volts Logic LOW: The lower of two voltages, typically 0 volts 5.0 v Logic High Logic Level Voltage True/False On/Off 0/1 HIGH 5 volts True On 1 2.0 v Invalid LOW 0 volts False Off 0 Logic 0.8 v Level 0.0 v Logic Low 6
  • 7. Example of Digital Signals • Digital signal are commonly referred to as square waves or clock signals. • Their minimum value must be 0 volts, and their maximum value must be 5 volts. • They can be periodic (repeating) or non-periodic. • The time the signal is high (tH) can vary anywhere from 1% of the period to 99% of the period. 5 volts 0 volts 7
  • 8. Parts of a Digital Signal Amplitude: For digital signals, this will ALWAYS be Falling Edge 5 volts. Period: Amplitude The time it takes for a periodic signal to repeat. (seconds) Time Time High Low Frequency: (tH) (tL) A measure of the number of occurrences of the signal per second. (Hertz, Hz) Rising Edge Time High (tH): Period (T) The time the signal is at 5 v. Time Low (tL): The time the signal is at 0 v. Frequency: Duty Cycle: 1 tH The ratio of tH to the total period (T). F= Hz DutyCycle = × 100% T T Rising Edge: A 0-to-1 transition of the signal. Falling Edge: 8 A 1-to-0 transition of the signal.
  • 9. Oscilloscope • The Oscilloscope is a piece of electronic test equipment that is used to capture and measure time-varying signals, both analog and digital. • Oscilloscopes can be found on the workbench (physical) as well as part of a simulation tool (virtual). • We will limit our usage to the virtual oscilloscope. 9
  • 10. Virtual Oscilloscope: Multisim Oscilloscope Instrumentation Oscilloscope Component Markers: Displayed Signals Movable markers T1 & T2 Marker Display: Displays the voltage & time intersect for the markers T1 & T2. Timebase: Channel_X: Channel Selection Adjusts the time scale and Adjusts the horizontal offset of the signals. This is scale and offset of the common for all channels. selected channel. 10
  • 11. Example: Digital Signal Example: Determine the following information for the digital signal shown: •Amplitude •Period (T) •Frequency (f) •Time High (tH) •Time Low (tL) •Duty Cycle (DC) 11
  • 12. Example: Digital Signal Solution: Amplitude: 2V Amplitude = 2.5 div × div Amplitude = 5 v 2 ms / div 2 v / div Period (T): 2 ms T = 4 div × div T = 8 ms Frequency (f): 1 1 f= = T 8 ms f = 125 Hz 12
  • 13. Example: Digital Signal Solution: Time High (tH): 2 ms t H = 2.4 div × div t H = 4.8 ms 2 ms / div 2 v / div Time Low (tL): 2 ms t L = 1.6 div × div t L = 3.2 ms Duty Cycle (DC): tH DC = × 100% T 4.8 ms DC == × 100% 8 ms 13 DC = 60%
  • 14. Period Measurement with Markers The markers can be used to measure the period tH & tL (next slide). Period (T): T = 8 ms 14
  • 15. tH & tL Measurement with Markers Low High ( tL): t L = 3.214 ms Time High ( tH): t H = 4.786 ms 15

Editor's Notes

  1. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  2. Introductory Slide / Overview of Presentation Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  3. This slide defines analog and digital signals and gives several examples of each. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  4. Examples of common analog signals. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  5. Parts of an analog signal: amplitude, period, & frequency. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  6. This slide introduces the concept of logic levels, gives the range of acceptable voltages for a logic high & low, and lists other common terms used to describe logic levels. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  7. Examples of common digital signals. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  8. The parts of a digital signal: amplitude, period & frequency, time high, time low, duty cycle, rising & falling edge. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  9. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  10. Review with the student Multisim Oscilloscope. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  11. Pause the presentation and allow the student to work on the example. The solution is on the next two slides. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  12. Here is the solution. If you print handouts, do not print this page. (1 of 2) Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  13. Here is the solution. If you print handouts, don’t print this page. (2 of 2) Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  14. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009
  15. Analog and Digital Signals Digital Electronics TM 1.2 Introduction to Analog Project Lead The Way, Inc. Copyright 2009