What should the transmission power be to get a received power of at least -75 dBm when transmitting a 915 MHz signal over 3.5 Km. Assume the transmitter has an antenna with a 10 dB gain and the receiver has an antenna with a 3 dB gain. Use the FSPL model described in class. Show all your computations and express your answer in milliwatts. Remember that the free space equation you need to employ is pictured

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What should the transmission power be to get a received power of at least -75 dBm when transmitting a 915 MHz signal over 3.5 Km. Assume the transmitter has an antenna with a 10 dB gain and the receiver has an antenna with a 3 dB gain. Use the FSPL model described in class. Show all your computations and express your answer in milliwatts. Remember that the free space equation you need to employ is pictured

The image contains a mathematical equation used in wireless communication systems to determine the received power in decibels per milliwatt (dBm). The equation is as follows:

\[ P_{r_{dBm}} = P_{t_{dBm}} - PL_{dB} + G_{t_{dB}} + G_{r_{dB}} \]

Where:
- \( P_{r_{dBm}} \) is the received power in dBm.
- \( P_{t_{dBm}} \) is the transmitted power in dBm.
- \( PL_{dB} \) is the path loss in decibels (dB).
- \( G_{t_{dB}} \) is the gain of the transmitting antenna in dB.
- \( G_{r_{dB}} \) is the gain of the receiving antenna in dB.

This equation accounts for the losses and gains experienced in a wireless communication channel, allowing for accurate calculation of the power level at the receiver.
Transcribed Image Text:The image contains a mathematical equation used in wireless communication systems to determine the received power in decibels per milliwatt (dBm). The equation is as follows: \[ P_{r_{dBm}} = P_{t_{dBm}} - PL_{dB} + G_{t_{dB}} + G_{r_{dB}} \] Where: - \( P_{r_{dBm}} \) is the received power in dBm. - \( P_{t_{dBm}} \) is the transmitted power in dBm. - \( PL_{dB} \) is the path loss in decibels (dB). - \( G_{t_{dB}} \) is the gain of the transmitting antenna in dB. - \( G_{r_{dB}} \) is the gain of the receiving antenna in dB. This equation accounts for the losses and gains experienced in a wireless communication channel, allowing for accurate calculation of the power level at the receiver.
Expert Solution
Step 1

Given,

A received power, PrdBm= -75 dBm

The transmitter has an antenna with a gain, GtdB=10 dB

The receiver has an antenna with a gain, GrdB=3 dB

Transmitting a 915 MHz signal over 3.5 Km

Distance, d = 3.5 km

Frequency, f = 915 MHz

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