Calculators » EEIRP Calculator & Formula : 5G/6G Radiated Power

EEIRP Calculator & Formula : 5G/6G Radiated Power

eeirp expected equivalent isotropically radiated power calculator formula

This EEIRP calculator allows you to compute the Expected Equivalent Isotropically Radiated Power (EEIRP) for 5G and 6G NTN compliance based on input parameters such as elevation angles (θHLi, θHHi), number of measurement points (M, N) and EIRP values at each grid point (EIRPij, where i and j represent the indices of the azimuth and elevation points).

EEIRP is a critical metric in the evaluation of spatial emissions from 5G and 6G base stations, particularly in the context of non-terrestrial networks (NTN) where the spatial distribution of radiated power is a key consideration.

EEIRP Calculator

Inputs

Outputs

Example calculation for EEIRP

Spatial Bin Parameters:

  • Lower elevation angle (θHLi): 10
  • Upper elevation angle (θHHi): 20

Measurement Grid Parameters:

  • Number of azimuth points (M): 4
  • Number of elevation points (N): 2 [Total measurement points (M x N): 8]

EIRP Measurements (in Watts) at each grid point:

Theta (°)Phi (°)EIRP (Watts)
12.50.01000
12.530.0800
12.560.0600
12.590.0400
17.50.0500
17.530.0400
17.560.0300
17.590.0200

Outputs:

  • Output EEIRP (Watts): 527.21 Watts
  • Output EEIRP (dBm): 57.22 dBm

Note: Convert EIRP from dBm to Watts and enter the values in the calculator above. You can download CSV file with the above data for direct input into the calculator.

Download Input CSV File for EEIRP Calculation

EEIRP Formula

Unlike the single point measurements above, EEIRP evaluates the spatially averaged power over a specific geometric region (a spherical strip). According to Annex J of the ETSI TS 138 115-2 specification, calculating EEIRP requires two averaging steps: first across all active beam directions, and second across a grid of elevation (θ) and azimuth (ϕ) angles.

  • Step-1: Averaging over test beam directions

  • For a specific measurement point in space (defined by θ and ϕ), you average the EIRP across all K test beams. This is done using the following formula:

EIRP formula

  • Step-2: Averaging over the spherical strip (The EEIRP Formula)

  • To find the EEIRP for a specific elevation bin (e.g., between angles θHLi and θHHi), you integrate/average the values across measurement grid. The EEIRP is calculated using the following formula:

EEIRP formula