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Digital Electronics
Analog & Digital Signals
Analog & Digital Signals
2
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.
Analog and Digital Signals
Analog Signals
• Continuous
• Infinite range of values
• More exact values, but
more difficult to work with
Digital Signals
• Discrete
• Finite range of values (2)
• Not as exact as analog,
but easier to work with
3
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
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.
4
0 volts
Sine Wave Square Wave
(not digital)
Random-Periodic
Parts of an Analog Signal
5
Amplitude
(peak-to-peak)
Amplitude
(peak)
Period
(T)
Hz
T
1
F 
Frequency:
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
6
5.0 v
2.0 v
0.8 v
0.0 v Logic Low
Logic High
Invalid
Logic
Level
Logic Level Voltage True/False On/Off 0/1
HIGH 5 volts True On 1
LOW 0 volts False Off 0
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.
7
0 volts
5 volts
Parts of a Digital Signal
8
Amplitude
Time
High
(tH)
Time
Low
(tL)
Period (T)
Rising Edge
Falling Edge
Amplitude:
For digital signals, this will ALWAYS be
5 volts.
Period:
The time it takes for a periodic signal to
repeat. (seconds)
Frequency:
A measure of the number of
occurrences of the signal per second.
(Hertz, Hz)
Time High (tH):
The time the signal is at 5 v.
Time Low (tL):
The time the signal is at 0 v.
Duty Cycle:
The ratio of tH to the total period (T).
Rising Edge:
A 0-to-1 transition of the signal.
Falling Edge:
A 1-to-0 transition of the signal.
Hz
T
1
F 
Frequency:
%
100


T
t
DutyCycle H
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
10
Oscilloscope
Component
Oscilloscope Instrumentation
Timebase:
Adjusts the time scale and
offset of the signals. This is
common for all channels.
Channel_X:
Adjusts the horizontal
scale and offset of the
selected channel.
Channel Selection
Marker Display:
Displays the voltage & time
intersect for the markers
T1 & T2.
Markers:
Movable markers
T1 & T2
Displayed Signals
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:
Period (T):
Frequency (f):
12
2 ms / div
2 v / div
v
5
Amplitude
div
V
2
div
2.5
Amplitude



ms
8
T
div
ms
2
div
4
T



Hz
125
f
ms
8
1
T
1
f



Example: Digital Signal
Solution:
Time High (tH):
Time Low (tL):
Duty Cycle (DC):
13
2 ms / div
2 v / div
ms
4.8
div
ms
2
div
2.4



H
H
t
t
0%
DC
ms
8
ms
4.8
T
t
DC H
6
100
100





%
%
DC
ms
3.2
div
ms
2
div
1.6



L
L
t
t
Period Measurement with Markers
The markers can be used to measure the
period tH & tL (next slide).
14
Period (T):
ms
8
T 
tH & tL Measurement with Markers
15
Time High ( tH):
ms
3.214

L
t
ms
4.786

H
t
Low High ( tL):

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AnalogDigitalSignals1.ppt

  • 2. Analog & Digital Signals 2 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.
  • 3. Analog and Digital Signals Analog Signals • Continuous • Infinite range of values • More exact values, but more difficult to work with Digital Signals • Discrete • Finite range of values (2) • Not as exact as analog, but easier to work with 3 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 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. 4 0 volts Sine Wave Square Wave (not digital) Random-Periodic
  • 5. Parts of an Analog Signal 5 Amplitude (peak-to-peak) Amplitude (peak) Period (T) Hz T 1 F  Frequency:
  • 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 6 5.0 v 2.0 v 0.8 v 0.0 v Logic Low Logic High Invalid Logic Level Logic Level Voltage True/False On/Off 0/1 HIGH 5 volts True On 1 LOW 0 volts False Off 0
  • 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. 7 0 volts 5 volts
  • 8. Parts of a Digital Signal 8 Amplitude Time High (tH) Time Low (tL) Period (T) Rising Edge Falling Edge Amplitude: For digital signals, this will ALWAYS be 5 volts. Period: The time it takes for a periodic signal to repeat. (seconds) Frequency: A measure of the number of occurrences of the signal per second. (Hertz, Hz) Time High (tH): The time the signal is at 5 v. Time Low (tL): The time the signal is at 0 v. Duty Cycle: The ratio of tH to the total period (T). Rising Edge: A 0-to-1 transition of the signal. Falling Edge: A 1-to-0 transition of the signal. Hz T 1 F  Frequency: % 100   T t DutyCycle H
  • 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 10 Oscilloscope Component Oscilloscope Instrumentation Timebase: Adjusts the time scale and offset of the signals. This is common for all channels. Channel_X: Adjusts the horizontal scale and offset of the selected channel. Channel Selection Marker Display: Displays the voltage & time intersect for the markers T1 & T2. Markers: Movable markers T1 & T2 Displayed Signals
  • 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: Period (T): Frequency (f): 12 2 ms / div 2 v / div v 5 Amplitude div V 2 div 2.5 Amplitude    ms 8 T div ms 2 div 4 T    Hz 125 f ms 8 1 T 1 f   
  • 13. Example: Digital Signal Solution: Time High (tH): Time Low (tL): Duty Cycle (DC): 13 2 ms / div 2 v / div ms 4.8 div ms 2 div 2.4    H H t t 0% DC ms 8 ms 4.8 T t DC H 6 100 100      % % DC ms 3.2 div ms 2 div 1.6    L L t t
  • 14. Period Measurement with Markers The markers can be used to measure the period tH & tL (next slide). 14 Period (T): ms 8 T 
  • 15. tH & tL Measurement with Markers 15 Time High ( tH): ms 3.214  L t ms 4.786  H t Low High ( tL):

Editor's Notes

  1. Digital Electronics TM 1.2 Introduction to Analog
  2. Introductory Slide / Overview of Presentation
  3. This slide defines analog and digital signals and gives several examples of each.
  4. Examples of common analog signals.
  5. Parts of an analog signal: amplitude, period, & frequency.
  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.
  7. Examples of common digital signals.
  8. The parts of a digital signal: amplitude, period & frequency, time high, time low, duty cycle, rising & falling edge.
  9. Review with the student Multisim Oscilloscope.
  10. Pause the presentation and allow the student to work on the example. The solution is on the next two slides.
  11. Here is the solution. If you print handouts, do not print this page. (1 of 2)
  12. Here is the solution. If you print handouts, don’t print this page. (2 of 2)