Homework

1
Presentation 18

• Homework 5 solutions
• Student Presentations East Timor, Mexico,
  Philippines, Africa South America

2
Propagationat150 MHz
3
Propagation450Mhzto 1000 MHz
4
Homework 5 due Monday, March 10

• I. Find the expected coverage of a WiMax base
  station mounted on a mountain top. It has a power
  of 1 watt a bit rate of 3 Mb/s and an antenna
  gain of 8 dB. Use the propagation charts of 1000
  MHz, above. The modulation is QPSK with Eb/No
  9.5 dB.
• Find the range for a tower height of 150 meters
  and a receiver with an antenna with 2.7 dB gain
  and temperature of 500 deg K.
• Find the range for a tower height of 600 meters
  and a receiver antenna with an effective area of
  ½ meter square and temperature of 500 deg K.
• II. The VHF band had a TV broadcast station with
  2 kW output power on a signal requiring 35 dB
  C/N in a 5 MHz bandwidth.
• Using the 150 MHz chart , what is the coverage to
  a TV receiver with 500 deg K temperature and an
  antenna gain of 20 dB. The transmitter is on a
  hill 300 ft above the terrain.
• What power is needed to reach the same range with
  the 10 Mb/sec transmission with QPSK and 9.5 dB
  Eb/No. The transmitter is on the same hill and
  the receiver antenna and temperature are the same
  as in (a).

5
Find the expected coverage of a WiMax base
station mounted on a mountain top. It has a power
of 1 watt a bit rate of 3 Mb/s and an antenna
gain of 8 dB. Use the propagation charts of 1000
MHz, above. The modulation is QPSK with Eb/No
9.5 dB.

• Find the range for a tower height of 150 meters
  and a receiver with an antenna with 2.7 dB gain
  and temperature of 500 deg K.
• T500gt27 dBK R3,000,000gt65 dBHz
• PrkTBxC/NkTRxEb/Nogt-228.627659.5-127.1
  dBW
• l 3x108/1x109 0.3 M Gr2.7gt1.86
  AeffGrl2/4p 1.86x0.32/4p
• Aeff0.0133 M2gt-18.75dBM2 flux -127.1
  18.75-108.35dBW/M2
• -108.35dBW/M2 145.76 37.4dBu EIRP088dB.
• 30-822 look for 37.42259.4 dBu 31 Km
• (b) Find the range for a tower height of 600
  meters and a receiver
• antenna with an effective area of ½ meter square
  and temperature of
• 500 deg K. Aeff0.5M2gt-3dBM2 flux
  -127.13-124.1
• -124.1145.7621.66 dBu 21.662243.66 dBu
  75 Km

6
Chart for QuestionI
7
II. The VHF band had a TV broadcast station with
2 kW output power on a signal requiring 35 dB
C/N in a 5 MHz bandwidth.

• (a) Using the 150 MHz chart , what is the
  coverage to a TV receiver with 500 deg K
  temperature and an antenna gain of 20 dB. The
  transmitter is on a hill 300 ft above the
  terrain.
• EIRP 33 dBW l3x108/150x1062 M G20dBgt100
  B67dBHz
• AeffGrl2/4p 100x22/4p 31M2 gt15dB Pr
  -228.6 27 6735
• -99.6dBW/M2 flux -99.6-15-114.6
  -114.6145.76 31.16 dBu
• But we need 3 dB less for 2000W transmitter
  31.16-328.16 dBu
• This comes at 85 Km
• (2) What power is needed to reach the same range
  with the 10 Mb/sec transmission with QPSK and 9.5
  dB Eb/No. The transmitter is on the same hill and
  the receiver antenna and temperature are the same
  as in (a). R10,000,000gt70dB Pr-228.627709.5
  -122.1
• 122.1-99.622.5gt178 Power2000/178 11.2
  watts
• (or a range of 199 Km if we use 2 kilowatts)

8
Chart for QuestionII300 M300ft
9
Final Presentations Schedule

• Yousef Qassim Sri Lanka Mar 10
• Krit Supradith ASEAN Markets Mar 10
• Pete Riley Brazil Communities Mar 10
• John Anasis Ghana Mar 10
• N. Mackowski East Timor Mar 12
• Jesus Gonzales-M Mexico Mar 12
• Ernest Ventura Philippines Mar 12
• Phil Miller Africa Union Mar 12
• Cathy Sae-Wong South America Union Mar 12