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Data and Computer
Communications
Eighth Edition
by William Stallings
Lecture slides by Lawrie Brown
Chapter 3 – Data Transmission
Transmission Terminology
 data transmission occurs between a
transmitter & receiver via some medium
 guided medium
 eg. twisted pair, coaxial cable, optical fiber
 unguided / wireless medium
 eg. air, water, vacuum
Transmission Terminology
 direct link
 no intermediate devices
 point-to-point
 direct link
 only 2 devices share link
 multi-point
 more than two devices share the link
Transmission Terminology
 simplex
 one direction
• eg. television
 half duplex
 either direction, but only one way at a time
• eg. police radio
 full duplex
 both directions at the same time
• eg. telephone
Frequency, Spectrum and
Bandwidth
 time domain concepts
 analog signal
• various in a smooth way over time
 digital signal
• maintains a constant level then changes to another
constant level
 periodic signal
• pattern repeated over time
 aperiodic signal
• pattern not repeated over time
Analogue & Digital Signals
Periodic
Signals
Sine Wave
 peak amplitude (A)
 maximum strength of signal
 volts
 frequency (f)
 rate of change of signal
 Hertz (Hz) or cycles per second
 period = time for one repetition (T)
 T = 1/f
 phase ()
 relative position in time
Varying Sine Waves
s(t) = A sin(2ft +)
Wavelength ()
 is distance occupied by one cycle
 between two points of corresponding
phase in two consecutive cycles
 assuming signal velocity v have  = vT
 or equivalently f = v
 especially when v=c
 c = 3*108 ms-1 (speed of light in free space)
Frequency Domain Concepts
 signal are made up of many frequencies
 components are sine waves
 Fourier analysis can shown that any signal
is made up of component sine waves
 can plot frequency domain functions
Addition of
Frequency
Components
(T=1/f)
 c is sum of f & 3f
Frequency
Domain
Representations
 freq domain func of
Fig 3.4c
 freq domain func of
single square pulse
Spectrum & Bandwidth
 spectrum
 range of frequencies contained in signal
 absolute bandwidth
 width of spectrum
 effective bandwidth
 often just bandwidth
 narrow band of frequencies containing most energy
 DC Component
 component of zero frequency
Data Rate and Bandwidth
 any transmission system has a limited band of
frequencies
 this limits the data rate that can be carried
 square have infinite components and hence
bandwidth
 but most energy in first few components
 limited bandwidth increases distortion
 have a direct relationship between data rate &
bandwidth
Analog and Digital Data
Transmission
 data
 entities that convey meaning
 signals & signalling
 electric or electromagnetic representations of
data, physically propagates along medium
 transmission
 communication of data by propagation and
processing of signals
Acoustic Spectrum (Analog)
Audio Signals
 freq range 20Hz-20kHz (speech 100Hz-7kHz)
 easily converted into electromagnetic signals
 varying volume converted to varying voltage
 can limit frequency range for voice channel to
300-3400Hz
Video Signals
 USA - 483 lines per frame, at frames per sec
 have 525 lines but 42 lost during vertical retrace
 525 lines x 30 scans = 15750 lines per sec
 63.5s per line
 11s for retrace, so 52.5 s per video line
 max frequency if line alternates black and white
 horizontal resolution is about 450 lines giving
225 cycles of wave in 52.5 s
 max frequency of 4.2MHz
Digital Data
 as generated by computers etc.
 has two dc components
 bandwidth depends on data rate
Analog Signals
Digital Signals
Advantages & Disadvantages
of Digital Signals
 cheaper
 less susceptible to noise
 but greater attenuation
 digital now preferred choice
Transmission Impairments
 signal received may differ from signal
transmitted causing:
 analog - degradation of signal quality
 digital - bit errors
 most significant impairments are
 attenuation and attenuation distortion
 delay distortion
 noise
Attenuation
 where signal strength falls off with distance
 depends on medium
 received signal strength must be:
 strong enough to be detected
 sufficiently higher than noise to receive without error
 so increase strength using amplifiers/repeaters
 is also an increasing function of frequency
 so equalize attenuation across band of
frequencies used
 eg. using loading coils or amplifiers
Delay Distortion
 only occurs in guided media
 propagation velocity varies with frequency
 hence various frequency components
arrive at different times
 particularly critical for digital data
 since parts of one bit spill over into others
 causing intersymbol interference
Noise
 additional signals inserted between
transmitter and receiver
 thermal
 due to thermal agitation of electrons
 uniformly distributed
 white noise
 intermodulation
 signals that are the sum and difference of
original frequencies sharing a medium
Noise
 crosstalk
 a signal from one line is picked up by another
 impulse
 irregular pulses or spikes
• eg. external electromagnetic interference
 short duration
 high amplitude
 a minor annoyance for analog signals
 but a major source of error in digital data
• a noise spike could corrupt many bits
Channel Capacity
 max possible data rate on comms channel
 is a function of
 data rate - in bits per second
 bandwidth - in cycles per second or Hertz
 noise - on comms link
 error rate - of corrupted bits
 limitations due to physical properties
 want most efficient use of capacity
Nyquist Bandwidth
 consider noise free channels
 if rate of signal transmission is 2B then can carry
signal with frequencies no greater than B
 ie. given bandwidth B, highest signal rate is 2B
 for binary signals, 2B bps needs bandwidth B Hz
 can increase rate by using M signal levels
 Nyquist Formula is: C = 2B log2M
 so increase rate by increasing signals
 at cost of receiver complexity
 limited by noise & other impairments
Shannon Capacity Formula
 consider relation of data rate, noise & error rate
 faster data rate shortens each bit so bursts of noise
affects more bits
 given noise level, higher rates means higher errors
 Shannon developed formula relating these to
signal to noise ratio (in decibels)
 SNRdb
=10 log10 (signal/noise)
 Capacity C=B log2(1+SNR)
 theoretical maximum capacity
 get lower in practise
Summary
 looked at data transmission issues
 frequency, spectrum & bandwidth
 analog vs digital signals
 transmission impairments

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03-DataTransmission.ppt

  • 1. Data and Computer Communications Eighth Edition by William Stallings Lecture slides by Lawrie Brown Chapter 3 – Data Transmission
  • 2. Transmission Terminology  data transmission occurs between a transmitter & receiver via some medium  guided medium  eg. twisted pair, coaxial cable, optical fiber  unguided / wireless medium  eg. air, water, vacuum
  • 3. Transmission Terminology  direct link  no intermediate devices  point-to-point  direct link  only 2 devices share link  multi-point  more than two devices share the link
  • 4. Transmission Terminology  simplex  one direction • eg. television  half duplex  either direction, but only one way at a time • eg. police radio  full duplex  both directions at the same time • eg. telephone
  • 5. Frequency, Spectrum and Bandwidth  time domain concepts  analog signal • various in a smooth way over time  digital signal • maintains a constant level then changes to another constant level  periodic signal • pattern repeated over time  aperiodic signal • pattern not repeated over time
  • 8. Sine Wave  peak amplitude (A)  maximum strength of signal  volts  frequency (f)  rate of change of signal  Hertz (Hz) or cycles per second  period = time for one repetition (T)  T = 1/f  phase ()  relative position in time
  • 9. Varying Sine Waves s(t) = A sin(2ft +)
  • 10. Wavelength ()  is distance occupied by one cycle  between two points of corresponding phase in two consecutive cycles  assuming signal velocity v have  = vT  or equivalently f = v  especially when v=c  c = 3*108 ms-1 (speed of light in free space)
  • 11. Frequency Domain Concepts  signal are made up of many frequencies  components are sine waves  Fourier analysis can shown that any signal is made up of component sine waves  can plot frequency domain functions
  • 13. Frequency Domain Representations  freq domain func of Fig 3.4c  freq domain func of single square pulse
  • 14. Spectrum & Bandwidth  spectrum  range of frequencies contained in signal  absolute bandwidth  width of spectrum  effective bandwidth  often just bandwidth  narrow band of frequencies containing most energy  DC Component  component of zero frequency
  • 15. Data Rate and Bandwidth  any transmission system has a limited band of frequencies  this limits the data rate that can be carried  square have infinite components and hence bandwidth  but most energy in first few components  limited bandwidth increases distortion  have a direct relationship between data rate & bandwidth
  • 16. Analog and Digital Data Transmission  data  entities that convey meaning  signals & signalling  electric or electromagnetic representations of data, physically propagates along medium  transmission  communication of data by propagation and processing of signals
  • 18. Audio Signals  freq range 20Hz-20kHz (speech 100Hz-7kHz)  easily converted into electromagnetic signals  varying volume converted to varying voltage  can limit frequency range for voice channel to 300-3400Hz
  • 19. Video Signals  USA - 483 lines per frame, at frames per sec  have 525 lines but 42 lost during vertical retrace  525 lines x 30 scans = 15750 lines per sec  63.5s per line  11s for retrace, so 52.5 s per video line  max frequency if line alternates black and white  horizontal resolution is about 450 lines giving 225 cycles of wave in 52.5 s  max frequency of 4.2MHz
  • 20. Digital Data  as generated by computers etc.  has two dc components  bandwidth depends on data rate
  • 23. Advantages & Disadvantages of Digital Signals  cheaper  less susceptible to noise  but greater attenuation  digital now preferred choice
  • 24. Transmission Impairments  signal received may differ from signal transmitted causing:  analog - degradation of signal quality  digital - bit errors  most significant impairments are  attenuation and attenuation distortion  delay distortion  noise
  • 25. Attenuation  where signal strength falls off with distance  depends on medium  received signal strength must be:  strong enough to be detected  sufficiently higher than noise to receive without error  so increase strength using amplifiers/repeaters  is also an increasing function of frequency  so equalize attenuation across band of frequencies used  eg. using loading coils or amplifiers
  • 26. Delay Distortion  only occurs in guided media  propagation velocity varies with frequency  hence various frequency components arrive at different times  particularly critical for digital data  since parts of one bit spill over into others  causing intersymbol interference
  • 27. Noise  additional signals inserted between transmitter and receiver  thermal  due to thermal agitation of electrons  uniformly distributed  white noise  intermodulation  signals that are the sum and difference of original frequencies sharing a medium
  • 28. Noise  crosstalk  a signal from one line is picked up by another  impulse  irregular pulses or spikes • eg. external electromagnetic interference  short duration  high amplitude  a minor annoyance for analog signals  but a major source of error in digital data • a noise spike could corrupt many bits
  • 29. Channel Capacity  max possible data rate on comms channel  is a function of  data rate - in bits per second  bandwidth - in cycles per second or Hertz  noise - on comms link  error rate - of corrupted bits  limitations due to physical properties  want most efficient use of capacity
  • 30. Nyquist Bandwidth  consider noise free channels  if rate of signal transmission is 2B then can carry signal with frequencies no greater than B  ie. given bandwidth B, highest signal rate is 2B  for binary signals, 2B bps needs bandwidth B Hz  can increase rate by using M signal levels  Nyquist Formula is: C = 2B log2M  so increase rate by increasing signals  at cost of receiver complexity  limited by noise & other impairments
  • 31. Shannon Capacity Formula  consider relation of data rate, noise & error rate  faster data rate shortens each bit so bursts of noise affects more bits  given noise level, higher rates means higher errors  Shannon developed formula relating these to signal to noise ratio (in decibels)  SNRdb =10 log10 (signal/noise)  Capacity C=B log2(1+SNR)  theoretical maximum capacity  get lower in practise
  • 32. Summary  looked at data transmission issues  frequency, spectrum & bandwidth  analog vs digital signals  transmission impairments