Enter the transmitted power (watts), the carrier frequency (Hz), antenna gain, and the propagation distance (m) into the calculator to determine the Received Power. 

Received Power Formula

The following formula is used to calculate the Received Power.

Pr = G * Pt / (f^2*d^2)
  • Where Pr is the Received Power (watts)
  • G is the antenna gain
  • Pt is the transmitted power (watts) 
  • f is the carrier frequency (Hz) 
  • d is the propagation distance (m) 

To calculate a received power, multiply the antenna gain by the transmitted power, then divide by the product of the frequency squared times the propagation distance squared.

How to Calculate Received Power?

The following example problems outline how to calculate Received Power.

Example Problem #1

  1. First, determine the transmitted power (watts). In this example, the transmitted power (watts) is determined to be 12 .
  2. Next, determine the carrier frequency (hz). For this problem, the carrier frequency (hz) is measured to be 50 .
  3. Next, determine the propagation distance (m). In this case, the propagation distance (m) is found to be 86.
  4. Next, determine the gain. In this case, the gain is 2:1 = 2
  5. Finally, calculate the Received Power using the formula above: 

Pr = G * Pt / (f^2*d^2)

Inserting the values from above and solving yields: 

Pr = 2 * 12 / (50^2*86^2) = .00000129 (watts)

Example Problem #2

Using the same method as above, determine the variables required by the formula. For this example problem, these are:

antenna gain = 5

transmitted power (watts) = 105

carrier frequency (hz) = 3

propagation distance (m) = 14

Enter these given values into the calculator or above yields: 

Pr =5 * 105 / (3^2*14^2) = .297(watts)