Received Power Calculator, Formula, Received Power Calculation

Received Power Calculator:

Enter the values of gain of receiving antenna, G, transmitted power, P_t(W), frequency of signal, f_(Hz) and distance from transmitter to receiver, d_(m) to determine the value of Received power, P_r(W).

Received Power Formula:

Received power, P_r(W) in watts is calculated by dividing the product of gain of receiving antenna, G, transmitted power, P_t(W) in watts by the product of square of frequency of signal, f_(Hz) in Hertz and square of distance from transmitter to receiver, d_(m) in metres.

Received power, P_r(W) = G * P_t(W) / f²_(Hz) * d²_(m)

P_r(W) = received power in watts, W.

G = gain of receiving antenna.

P_t(W) = transmitted power in watts, W.

f_(Hz) = frequency in Hertz, Hz.

d_(m) = distance in metres, m.

Received Power Calculation:

1. Finding Received Power:

Given:

Transmitted power P_t(W) = 100 W

Gain G = 2

Frequency f_(Hz) = 300 MHz (300 * 10⁶ Hz)

Distance d_(m) = 10 m

Received power, P_r(W) = G * P_t(W) / f²_(Hz) * d²_(m)

P_r(W) = 2 * 100 / (300 * 10⁶ )² * 10²

P_r(W) = 200 / 9 * 10¹⁶ * 100

P_r(W) = 200 / 9 * 10¹⁸

P_r(W) = 2.22 * 10^-17W.

2. Finding Distance:

Given:

Received power P_r(W) = 0.001 W

Transmitted power P_t(W) = 50 W

Gain (G) = 1.5

Frequency f_(Hz) = 150 MHz (150 * 10⁶ Hz)

Received power, P_r(W) = G * P_t(W) / f²_(Hz) * d²_(m)

d_(m) = G * P_t(W) / f²_(Hz) * P_r(W)

d_(m) = √(1.5 * 50 /(150 * 10⁶)² * 0.001)

d_(m) = √(75 / 2.25 * 10¹⁶ * 0.001)

d_(m) = √(75 / 2.25 * 10¹³)

d_(m) = 1.45 * 10⁶m.

Reference Signal Received Power (RSRP) – Coverage: