Question

A microwave transmitter has an output of 0.1 w at 2 ghz. Assume that this transmitter is used in a microwave communication system where the transmitting and receiving antennas are parabolas, each 1.2 m in diameter. I. What is the gain of each antenna in decibels? Ii. Taking into account antenna gain, what is the effective radiated power of the transmitted signal? Iii. If the receiving antenna is located 24 km from the transmitting antenna over a free space path, find the available signal power out of the receiving antenna in dbm units.

Answer 1

Answer:

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Answer 2

Given:

• A microwave transmitter has an output of $0.1 w \ at \ 2 GHz.$

• Transmitting and receiving antennas are parabolas, each$1.2 m$in diameter.

To Find:

• What is the gain of each antenna in decibels?

• Taking  into  account  antenna  gain,  what  is  the  effective  radiated  power  of  the transmitted signal?

• If  the  receiving  antenna  is  located $24 km$ from  the  transmitting  antenna  over  a  free space path, find the available signal power out of the receiving antenna in dB m units.

Solution:

We know that,

Gain of each antenna in decibels is given by

      $G = \frac{7A}{ \lambda^2}$

     $G= \frac{7Af^2}{c^2}$

      $G = \frac{(7 \times \pi \times (0.6)^2 \times (2 \times 109)^2 ]}{(3 \times 10^8)^2}$

      $G = 351.85GdB= 25.46 dB$

Thus, Gain of each antenna is $25.46 dB$

2. Effective radiated power of the transmitted signal is

         $0.1 W \times 351.85 = 35.185 W$

3. The available signal power out of the receiving antenna in dbm units

We know that,

    $L_{dB}= 20 log (4\pi) + 20 log (d) + 20 log (f) -20 log (c) -10 log(Gr) - 10 log (Gt)$

    $L_{dB} = 21.98 + 87.6 + 186.02 -169.54 -25.46 -25.46$

    $L_{dB} = 75.14 dB$

The transmitter power, in dBm is

   $10 log (100) = 20$

Thus,

The available received signal power is

         $20 -75.14 = -55.14 dBm$