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UNIT-2
Point-to-Point Communication:
Detection in a Rayleigh Fading Channel
Time Diversity
Antenna Diversity .
Frequency Diversity
Impact of Channel Uncertainty
Diversity
• Similarly Transmit Diversity, if there are
multiple Transmit antenna.
• And it is also possible multiple transmit as
well as receive antenna than both Transmit
as well as receive diversity.
• Similarly we can send the signal at different
time slot it is called as Temporal diversity
• Similarly, signal is send at different carrier a
frequency called frequency diversity.
• Transmit the signal between different user
called multi user diversity.
• Hence Diversity play a major role to combat
fading and decrease the bit error rate and
improves the performance.
Receive Diversity
• In a flat fading channel with 1 transmit
antenna and L receive antenna, , the channel
model is as follows:
• where the noise and independent
across the antennas.
• We would like to detect
• If the antennas are spaced sufficiently far
apart, then we can assume that the gains
are are independent Rayleigh, and we get a
diversity gain of L.
• With receive diversity, there are actually
two types of gain as we increase L.
• for the error probability of BPSK
conditioned on the channel gains:
• We can break up the total received SNR
conditioned on the channel gains into a product of
two terms:
• The first term corresponds to a power gain (also called
array gain): by having multiple receive antennas and
coherent combining at the receiver, the effective total
received signal power increases linearly with L:The second
term reflects the diversity gain:
Lecture11

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Lecture11

  • 1. UNIT-2 Point-to-Point Communication: Detection in a Rayleigh Fading Channel Time Diversity Antenna Diversity . Frequency Diversity Impact of Channel Uncertainty
  • 3.
  • 4.
  • 5.
  • 6. • Similarly Transmit Diversity, if there are multiple Transmit antenna. • And it is also possible multiple transmit as well as receive antenna than both Transmit as well as receive diversity. • Similarly we can send the signal at different time slot it is called as Temporal diversity
  • 7. • Similarly, signal is send at different carrier a frequency called frequency diversity. • Transmit the signal between different user called multi user diversity. • Hence Diversity play a major role to combat fading and decrease the bit error rate and improves the performance.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33. Receive Diversity • In a flat fading channel with 1 transmit antenna and L receive antenna, , the channel model is as follows: • where the noise and independent across the antennas.
  • 34. • We would like to detect • If the antennas are spaced sufficiently far apart, then we can assume that the gains are are independent Rayleigh, and we get a diversity gain of L.
  • 35. • With receive diversity, there are actually two types of gain as we increase L. • for the error probability of BPSK conditioned on the channel gains:
  • 36. • We can break up the total received SNR conditioned on the channel gains into a product of two terms: • The first term corresponds to a power gain (also called array gain): by having multiple receive antennas and coherent combining at the receiver, the effective total received signal power increases linearly with L:The second term reflects the diversity gain:

Editor's Notes

  1. 2