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Assumption: Assume that the Transmitting antenna sends out a power (Pt). We assume that the transmit antenna is omni-directional, lossless and that the receive antenna is in the far field.

 

Step 1: The Power Density of the plane wave incident on the receive antenna which is at a distance ® from the transmitting antenna, can be calculated by:

power density

Step 2: We assume that the transmit antenna has a gain (Gt), then the power density becomes:

Power Density with Gain

Step 3: We assume that the receive antenna has an effective aperture of Ae. Then the power received by the receive antenna is (Pr):

Power Received

Step 4: The Effective Antenna Aperture Ae, can also be defined as:

Antenna Aperture

Step 5: The Final formula for the power received at the antenna can be denoted by the Friis Transmission Equation:

Friis Equation Wavelength

OR – If you prefer to use frequency over wavelength

Friis Equation Frequency

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The FRIIS Transmission Equation is very complicated because it’s working on the antenna who is the effect on the power system so these type of working are very hectic for everyone and everyone use research proposal writing and online help for getting the solution.

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Thanks for sharing

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