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Applied physics III
Basic Concept: digital and analogue
systems

by Benson Mbuya
Digital Systems vs Analogue Systems
• A signal is any kind of physical quantity that
conveys information.
—Audible speech is certainly a kind of signal, as it
conveys the thoughts (information) of one person to
another through the physical medium of sound.

• signal will be used primarily in reference to an
electrical quantity of voltage or current that is
used to represent or signify some other physical
quantity.
• An analogue signal is a continuous signal that contains
time-varying quantities. Unlike a digital signal, which has
a discrete value at each sampling point, an analogue
signal has constant fluctuations.
• Any information may be conveyed by an analog
signal; often such a signal is a measured
response to changes in physical phenomena,
such as sound, light, temperature, position,
or pressure. The physical variable is converted
to an analogue signal by a transducer.
• A digital signal is a physical signal that is a
representation of a sequence of discrete values.
• Digital signals are signals that are represented
by binary numbers, "1" or "0". The 1 and 0
values can correspond to different discrete
voltage values
Analog vs digital
• Analogy systems are less tolerant to noise,
make good use of bandwidth, and are easy to
manipulate mathematically.
• However, analogy signals require hardware
receivers and transmitters that are designed to
perfectly fit the particular transmission.
• If you are working on a new system, and you
decide to change your analogue signal, you
need to completely change your transmitters
and receivers.
Analog vs digital
• Digital signals are more tolerant to noise, but
digital signals can be completely corrupted in
the presence of excess noise.
• In digital signals, noise could cause a 1 to be
interpreted as a 0 and vice versa, which makes
the received data different than the original
data.
• there are systems in place to prevent this sort of
scenario, such as checksums and CRCs, which
tell the receiver when a bit has been corrupted
and ask the transmitter to resend the data.
•
Analog vs digital
• The primary benefit of digital signals is that they
can be handled by simple, standardized
receivers and transmitters, and the signal can
be then dealt with in software (which is
comparatively cheap to change).
• The difference between Digital and discrete
—Digital quantity may be either 0 or 1, but discrete
may be any numerical value i.e. 0,1....9.
examples
• The analog clock has no physical limit to how
finely it can display the time, as its "hands"
move in a smooth, pauseless fashion. The
digital clock, on the other hand, cannot convey
any unit of time smaller than what its display
will allow for. The type of clock with a "secondhand" that jerks in 1-second intervals is a digital
device with a minimum resolution of one
second.
Analogue example
Analogue example: original phone
system
example
• The first telephone was very analog, and in fact
the wired phone in your house still works this
way
Analog and Noise

All electronic circuits
suffer from 'noise'
which is unwanted
signal mixed in with the
desired signal
Analogue and digital systems
• Analogue systems process analogue
signals which can take any value within a
range, for example the output from
an LDR (light sensor) or a microphone.
• An audio amplifier is an example of an
analogue system. The amplifier produces
an output voltage which can be any
value within the range of its power
supply.
• Digital systems contain devices such
as logic gates, flip-flops, shift registers
and counters. A computer is an example
of a digital system.
Sampling and Reconstruction
• The process of converting from analog data to
digital data is called "sampling".
• The process of recreating an analogue signal
from a digital one is called "reconstruction“
• Digitisation of a signal is the process by which
an analogue signal is converted to a digital
signal.
sampling
• The sampling rate when digitising an analogue
signal is defined as the number of samples per.
second, and is measured in Hertz (Hz), as it is a
frequency. You can calculate the sampling rate
using the formula:

• The higher the sampling rate, the closer the
reconstructed signal is to the original signal, but,
unfortunately, we are limited by the bandwidth
available.
• Theoretically, a sampling rate of twice the highest
frequency of the original signal will result in a perfect
reconstructed signal
Review questions

3. Most sounds created by human speech except for 'ss' and 'ff' have a maximum
frequency of 4 kHz. What is a suitable sampling rate for a low-quality telephone?
4. Using a sampling rate of 20 kHz and 3 bits, sample the following signal, and then
produce a reconstructed signal. What is the maximum frequency that can be
perfectly reconstructed using this sampling rate?
Worked solutions
Qn1 soln:

Qn2 soln:

Qn3 soln:
Qn4 soln
references
•
•
•
•
•

http://www.allaboutcircuits.com/vol_1/chpt_9/1.html
http://www.stanford.edu/class/cs101/analog-digital.html
http://www.diffen.com/difference/Analog_vs_Digital
http://en.wikipedia.org/wiki/Analog_signal
http://en.wikibooks.org/wiki/Alevel_Physics_(Advancing_Physics)/Digitisation/Worked_
Solutions
• http://en.wikibooks.org/wiki/Communication_Systems/A
nalog_vs._Digital
• http://www.kpsec.freeuk.com/analogue.htm
• http://www.wisegeek.com/what-is-an-analog-signal.htm

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Applied physics iii lecture1 intro

  • 1. Applied physics III Basic Concept: digital and analogue systems by Benson Mbuya
  • 2. Digital Systems vs Analogue Systems • A signal is any kind of physical quantity that conveys information. —Audible speech is certainly a kind of signal, as it conveys the thoughts (information) of one person to another through the physical medium of sound. • signal will be used primarily in reference to an electrical quantity of voltage or current that is used to represent or signify some other physical quantity. • An analogue signal is a continuous signal that contains time-varying quantities. Unlike a digital signal, which has a discrete value at each sampling point, an analogue signal has constant fluctuations.
  • 3. • Any information may be conveyed by an analog signal; often such a signal is a measured response to changes in physical phenomena, such as sound, light, temperature, position, or pressure. The physical variable is converted to an analogue signal by a transducer. • A digital signal is a physical signal that is a representation of a sequence of discrete values. • Digital signals are signals that are represented by binary numbers, "1" or "0". The 1 and 0 values can correspond to different discrete voltage values
  • 4. Analog vs digital • Analogy systems are less tolerant to noise, make good use of bandwidth, and are easy to manipulate mathematically. • However, analogy signals require hardware receivers and transmitters that are designed to perfectly fit the particular transmission. • If you are working on a new system, and you decide to change your analogue signal, you need to completely change your transmitters and receivers.
  • 5. Analog vs digital • Digital signals are more tolerant to noise, but digital signals can be completely corrupted in the presence of excess noise. • In digital signals, noise could cause a 1 to be interpreted as a 0 and vice versa, which makes the received data different than the original data. • there are systems in place to prevent this sort of scenario, such as checksums and CRCs, which tell the receiver when a bit has been corrupted and ask the transmitter to resend the data. •
  • 6. Analog vs digital • The primary benefit of digital signals is that they can be handled by simple, standardized receivers and transmitters, and the signal can be then dealt with in software (which is comparatively cheap to change). • The difference between Digital and discrete —Digital quantity may be either 0 or 1, but discrete may be any numerical value i.e. 0,1....9.
  • 7. examples • The analog clock has no physical limit to how finely it can display the time, as its "hands" move in a smooth, pauseless fashion. The digital clock, on the other hand, cannot convey any unit of time smaller than what its display will allow for. The type of clock with a "secondhand" that jerks in 1-second intervals is a digital device with a minimum resolution of one second.
  • 10. example • The first telephone was very analog, and in fact the wired phone in your house still works this way
  • 11. Analog and Noise All electronic circuits suffer from 'noise' which is unwanted signal mixed in with the desired signal
  • 12.
  • 13. Analogue and digital systems • Analogue systems process analogue signals which can take any value within a range, for example the output from an LDR (light sensor) or a microphone. • An audio amplifier is an example of an analogue system. The amplifier produces an output voltage which can be any value within the range of its power supply. • Digital systems contain devices such as logic gates, flip-flops, shift registers and counters. A computer is an example of a digital system.
  • 14. Sampling and Reconstruction • The process of converting from analog data to digital data is called "sampling". • The process of recreating an analogue signal from a digital one is called "reconstruction“ • Digitisation of a signal is the process by which an analogue signal is converted to a digital signal.
  • 15. sampling • The sampling rate when digitising an analogue signal is defined as the number of samples per. second, and is measured in Hertz (Hz), as it is a frequency. You can calculate the sampling rate using the formula: • The higher the sampling rate, the closer the reconstructed signal is to the original signal, but, unfortunately, we are limited by the bandwidth available. • Theoretically, a sampling rate of twice the highest frequency of the original signal will result in a perfect reconstructed signal
  • 16. Review questions 3. Most sounds created by human speech except for 'ss' and 'ff' have a maximum frequency of 4 kHz. What is a suitable sampling rate for a low-quality telephone? 4. Using a sampling rate of 20 kHz and 3 bits, sample the following signal, and then produce a reconstructed signal. What is the maximum frequency that can be perfectly reconstructed using this sampling rate?