Author: Peter Wittenberg

- Effective Radiated Power - ERP

One important use for decibels is computing the effective radiated power (ERP) of a radar. ERP is of primary interest for communications, passive electronic surveillance (ESM) and electronic countermeasures (ECM). To determine how far away a signal can be observed, or to determine how much power is required for a countermeasure, the first step is to assess radar transmitter power. The power level that a radar detector sees is then dependent on the gain of the radar antenna in the direction of the detector.

The ERP is simply the transmitter power times the antenna gain, and this can be done in units of Watts, milliwatts, or dBW or dBm.

ERP = PT·GT
ERP (dBW) = PT (dBW) + GT (dBi)
  1. A radar has a peak transmitter power of 15000 Watts, a transmit loss (from transmitter output to antenna input) of 1.5 dB, and a mainlobe antenna gain of 31 dBi. What is the mainlobe ERP of this radar in Watts, milliwatts, dBW, and dBm?
  2. The average sidelobes of this antenna are -30 dB. What is the power out the sidelobes of the antenna?
  3. A radar has an ERP of 93 dBW. If the antenna has a gain of 40 dBi, what is the peak transmit power? Ignore losses between the transmitter and the antenna.
  4. Another radar has an ERP of 95 dBm. The transmitter power is 1,400 W, and the transmitter losses are 2 dB. What is the antenna gain required?