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EIRP Calculator — Effective Isotropic Radiated Power

Determine the effective isotropic radiated power from an antenna

System Parameters

dB
dBi

Effective Isotropic Radiated Power (EIRP) is the total power that a theoretical isotropic antenna would have to radiate to achieve the same signal strength as the actual antenna in a specific direction. [1, 2] It is the standard measure of output power for communication systems. [1, 3]

  • System Components: EIRP accounts for the power from the transmitter, subtracts losses in the transmission line (e.g., cables and connectors), and adds the gain from the antenna. [4, 5]
  • Antenna Gain (dBi): Measures how well the antenna concentrates power in a single direction compared to an isotropic antenna (which radiates equally in all directions). [6]
  • Regulatory Limit: Many wireless services, like Wi-Fi, have legal limits on the maximum allowed EIRP to prevent interference. [7]

EIRP = PTX - Lc + Ga

Enter parameters and click Calculate

About EIRP Calculator — Effective Isotropic Radiated Power

The True Power of a Signal: Your Ultimate Guide to EIRP

In our hyper-connected world, we are bathed in an ocean of invisible signals. Wi-Fi, cellular data, Bluetooth, satellite broadcasts—these radio frequency (RF) waves are the lifeblood of modern communication. But how do we measure the true strength of these signals? Is it simply the raw power coming out of the transmitter? The answer is far more nuanced and fascinating, and it lies in a critical concept known as **EIRP**, or **Effective Isotropic Radiated Power**.

Welcome to the definitive resource for understanding and calculating EIRP. This guide, designed to accompany our powerful EIRP Calculator, will demystify this fundamental metric. We'll explore what it is, why it's the gold standard for specifying signal strength, and how it's calculated. Whether you're a network engineer designing a robust Wi-Fi system, a ham radio operator optimizing your station, a student of physics or telecommunications, or a regulator ensuring compliance, this is your one-stop-shop for mastering EIRP.

What is EIRP? Unpacking the Acronym

EIRP might sound intimidating, but it's a logical concept built from its four component words. Let's break it down to understand its profound meaning.

Effective

This word signifies that EIRP is not a direct measurement of the transmitter's raw output. Instead, it is a calculated, "effective" value that represents the power level *after* accounting for all the gains and losses in the system, particularly the focusing effect of the antenna.

Isotropic

This is the theoretical heart of the concept. An **isotropic radiator** is a perfect, hypothetical point-source antenna that radiates energy equally in all directions, creating a perfect sphere of signal. Think of it like a bare lightbulb with no reflector. It's a theoretical baseline against which all real-world antennas are measured.

Radiated

This simply means we are concerned with the power that is actually being sent out—or radiated—into the air from the antenna, not the power being consumed by the device.

Power

The fundamental quantity of energy transferred per unit of time, typically measured in Watts (W) or milliwatts (mW).

Putting it all together: EIRP is the equivalent power that a theoretical isotropic antenna would have to radiate to produce the same signal strength observed in the direction of the real antenna's maximum gain.

In simpler terms, it answers the question: "How powerful would a perfect, omnidirectional antenna need to be to match the focused, directional power of my actual antenna?" It's the true measure of a signal's directional might.

How to Use Our EIRP Calculator

Our calculator simplifies the EIRP formula into three key inputs, allowing you to quickly determine the effective power of your wireless system.

Step 1: Input Transmitter Power (Tx Power)

Enter the raw power output of your radio transmitter. You can enter this value in Watts (W), milliwatts (mW), or the logarithmic unit dBm. The calculator can seamlessly convert between them. This value is typically found in the device's technical specifications.

Step 2: Input Cable & Connector Loss

Every foot of cable and every connector between your transmitter and your antenna introduces a small amount of signal loss. This energy is dissipated as heat. Enter the total loss of your transmission line in decibels (dB). This is always a positive value representing a loss, which the formula will subtract.

Step 3: Input Antenna Gain

Enter the gain of your antenna in dBi (decibels relative to isotropic). This value, found on the antenna's datasheet, quantifies how well the antenna focuses energy in a particular direction.

Step 4: Calculate and Analyze

The tool will instantly compute the final EIRP in both dBm and Watts, giving you a complete picture of your system's effective power output.

The Physics Engine: The EIRP Formula Explained

The beauty of RF engineering lies in the use of logarithmic units (decibels), which turn complex multiplication and division into simple addition and subtraction. The formula for EIRP is a perfect example.

EIRP (dBm) = Tx Power (dBm) - Cable Loss (dB) + Antenna Gain (dBi)

Let's dissect each component of this critical equation:

Transmitter Power (dBm)

This is your starting point. dBm stands for "decibels relative to one milliwatt." It's a convenient way to express power levels. For reference: 0 dBm = 1 mW, 20 dBm = 100 mW, and 30 dBm = 1 Watt. Every +3 dB doubles the power, and every +10 dB multiplies it by 10.

Cable Loss (dB)

This represents the signal attenuation in your system. A 3 dB loss means that half of your power is lost in the cable before it even reaches the antenna. This value depends on the cable type, its length, and the frequency of the signal (higher frequencies have higher loss).

Antenna Gain (dBi)

This is the most impactful term. Antennas don't create energy; they focus it. Think of a flashlight: the bare bulb is an isotropic radiator, but a silvered reflector focuses that light into a powerful beam. The reflector provides "gain." A high-gain antenna takes the transmitter's power and concentrates it into a narrow beam, creating a much stronger signal in that specific direction at the expense of other directions. The 'i' in dBi explicitly states it's measured against our perfect isotropic baseline.

Why is EIRP the Most Important Metric?

Calculating EIRP is not just an academic exercise. It is arguably the most critical parameter in designing, deploying, and regulating wireless systems.

1. Regulatory Compliance

Government bodies like the FCC in the United States and ETSI in Europe set strict limits on how much power a device can radiate. These limits are almost always specified in EIRP. This is to prevent a single device from "shouting" so loudly that it interferes with other nearby services. For example, standard Wi-Fi in the 2.4 GHz band is often limited to a maximum EIRP of 36 dBm (4 Watts). Using a high-gain antenna without reducing your transmitter power can easily make your system illegal.

2. Accurate System Design and Link Budgets

When engineers design a wireless link (e.g., a microwave link between two buildings or a satellite connection), they create a "link budget." This is a detailed accounting of all the gains and losses the signal will experience from the transmitter to the receiver. EIRP is the starting point—the total effective power leaving the transmitting antenna. Without an accurate EIRP, the entire link budget is meaningless.

3. Meaningful Performance Comparison

How do you compare a system with a low-power transmitter and a high-gain antenna against a system with a high-power transmitter and a low-gain antenna? You compare their EIRP. It provides a level playing field, telling you which system will deliver a stronger signal in its intended direction, regardless of its individual components.

Frequently Asked Questions (FAQ)

Q: What is the difference between EIRP and ERP?

This is a classic question. **EIRP** (Effective Isotropic Radiated Power) uses the theoretical isotropic antenna as its baseline (gain in dBi). **ERP** (Effective Radiated Power) uses a half-wave dipole antenna as its baseline (gain in dBd). A dipole antenna naturally has a gain of 2.15 dBi. Therefore, the relationship is simple:

EIRP (dBm) = ERP (dBm) + 2.15 dB

ERP is more commonly used in land mobile radio and broadcast applications. EIRP is dominant in satellite and Wi-Fi/WLAN contexts.

Q: Can my EIRP be higher than the legal limit for my transmitter's power output?

Yes, absolutely! This is a critical point. A regulator might limit transmitter power to 1 Watt (30 dBm), but the EIRP limit might be 4 Watts (36 dBm). This means you are legally allowed to have a system gain (Antenna Gain - Cable Loss) of up to 6 dB. If your antenna has a 10 dBi gain and your cable loss is 1 dB, your system gain is 9 dB. If you use a 30 dBm transmitter, your EIRP would be 39 dBm—which would be illegal. You would need to reduce your transmitter power to 27 dBm to stay compliant.

Q: Is a higher EIRP always better?

Not necessarily. A very high EIRP is achieved with a very high-gain, directional antenna. This creates a very narrow "pencil beam" signal. This is excellent for a fixed point-to-point link but terrible for providing general mobile coverage, where you want a broad signal pattern. The "best" EIRP is one that is tailored to the specific application while remaining within legal limits.

Your Tool for Precision and Compliance

EIRP is the language of wireless communication power. It translates the interplay of transmitters, cables, and antennas into a single, meaningful, and comparable number. Our calculator is designed to be your fluent translator. Use it to design robust networks, ensure your projects are compliant with regulations, and gain a deeper, more intuitive understanding of the invisible forces that connect our world.

Frequently Asked Questions

What is an EIRP calculator?
A tool that computes Effective Isotropic Radiated Power by accounting for transmitter power, cable losses, and antenna gain.
What is the basic EIRP formula?
EIRP (dBm) = Transmitter Power (dBm) - Cable Losses (dB) + Antenna Gain (dBi)
Why is EIRP important in RF systems?
It quantifies the total radiated power for regulatory compliance, interference analysis, and link budget calculations.
How does EIRP differ from ERP?
EIRP references an isotropic antenna (dBi), while ERP references a dipole antenna (dBd). EIRP = ERP + 2.15 dB.
What are typical EIRP limits for WiFi?
FCC: 4W (36 dBm) @ 2.4GHz, 1W (30 dBm) @ 5GHz. EU: 100mW (20 dBm) @ 2.4GHz, 200mW (23 dBm) @ 5GHz.
How do you calculate EIRP in watts from dBm?
P(W) = 10^((EIRP(dBm)-30)/10)
What is the maximum EIRP for 5G NR?
Up to 75 dBm (32 kW) for mmWave base stations, typically 43-55 dBm for sub-6GHz.
How does antenna beamwidth affect EIRP?
Narrower beamwidth concentrates power (higher EIRP in main lobe) while reducing sidelobe radiation.
What is the EIRP limit for satellite uplinks?
ITU regulates by band and service; typical VSAT terminals are limited to 45-75 dBW depending on frequency band.
How do you calculate EIRP for a phased array?
EIRP = P_t + G_element + 10log10(N) where N is number of elements (assuming coherent combining).
What is the EIRP of a typical cell tower?
40-60 dBm (10-1000W) per sector, depending on frequency band and deployment scenario.
How does EIRP relate to power density?
Power density (W/m²) = EIRP/(4πr²) at distance r, neglecting atmospheric effects.
What is the FCC's EIRP limit for Part 15 devices?
1W (30 dBm) for most unlicensed bands, with lower limits in certain frequencies (e.g., 24 GHz ISM).
How do you calculate EIRP from field strength?
EIRP = (E×d)²/30 where E is field strength in V/m and d is distance in meters (far-field assumption).
What is the typical EIRP for GPS satellites?
Approx 27 dBW (500W) with 12-15 dBi antenna gain, resulting in -125 dBm received power on Earth.
How does EIRP affect link budget?
Higher EIRP increases received signal strength, improving SNR and possible data rates.
What is the EIRP limit for LoRaWAN devices?
FCC: 30 dBm (1W), EU: 14 dBm (25mW) for 868 MHz band duty-cycle restricted operation.
How do you calculate EIRP for a parabolic antenna?
EIRP = P_t - L_c + 10log10(η×(πD/λ)²) where η is efficiency, D is diameter, λ is wavelength.
What is the EIRP of a typical FM radio station?
50-100 kW (77-80 dBm) for commercial stations, with directional patterns to limit interference.
How does EIRP relate to PD (Power Density) for safety?
PD = EIRP/(4πr²) must comply with RF exposure limits (e.g., FCC 1mW/cm² for public areas).
What is the EIRP limit for 60 GHz unlicensed?
40 dBm (10W) in US (FCC), with additional 43 dBm/MHz PSD limit for indoor systems.
How do you calculate EIRP for MIMO systems?
Per-port EIRP remains standard, but total radiated power sums across all antennas (with specific regulatory rules).
What is the EIRP of a Starlink user terminal?
Approx 38 dBm (6W) with electronically steered phased array (FCC filing specifies 1.5° beamwidth).
How does EIRP affect radar range?
Radar range ∝ (EIRP×σ)^(1/4) where σ is target RCS (higher EIRP increases detection distance).
What is the EIRP limit for CB radio?
4W (36 dBm) for AM, 12W PEP (40.8 dBm) for SSB in US (FCC Part 95).
How do you calculate EIRP from TRP?
EIRP ≈ TRP + D where D is directivity (TRP = Total Radiated Power measured in anechoic chamber).
What is the typical EIRP for IoT devices?
10-20 dBm (10-100mW) for LPWAN, Bluetooth/WiFi typically <20 dBm to comply with unlicensed rules.
How does EIRP vary with frequency?
For same physical antenna size, gain (and thus EIRP potential) increases with frequency (G ∝ f²).
What is the EIRP limit for amateur radio?
1500W (61.8 dBm) PEP in US (FCC Part 97), but many bands have lower recommendations to minimize interference.
How do you calculate EIRP compliance margin?
Margin = EIRP_limit - Calculated_EIRP (must be ≥0 dB for compliance).
What is the EIRP of a typical microwave link?
30-50 dBm (1-100W) with 0.3-3m dishes providing 30-50 dBi gain at 6-38 GHz frequencies.
How does EIRP affect satellite interference?
ITU coordinates orbital slots based on EIRP density to prevent adjacent satellite interference.
What is the EIRP limit for UWB devices?
FCC: -41.3 dBm/MHz EIRP (Part 15), EU: -50 dBm/MHz below 3.1 GHz, -41.3 dBm/MHz above.
How do you calculate EIRP for an omnidirectional antenna?
EIRP = P_t - L_c + G_ant where G_ant is typically 2-5 dBi for real omnidirectional antennas.
What is the EIRP of a DTV transmitter?
10-1000 kW (70-90 dBm) with directional patterns to optimize coverage while minimizing interference.
How does EIRP relate to EMC testing?
Radiated emissions tests compare measured field strength to limits derived from equivalent EIRP values.
What is the EIRP limit for RFID readers?
FCC: 4W (36 dBm) @ 902-928 MHz, EU: 2W (33 dBm) EIRP @ 865-868 MHz with LBT requirements.
How do you calculate EIRP for beamforming systems?
EIRP = P_t - L_c + G_element + 10log10(N) + BF_gain where BF_gain depends on array factor.
What is the EIRP of a maritime radar?
Typically 25-50 kW (74-77 dBm) with 3-30° beamwidth antennas for ship navigation.
How does EIRP affect spectrum sharing?
Regulators set EIRP limits for shared bands (e.g., CBRS) to enable coexistence between services.
What is the EIRP limit for medical implants?
MICS band: 25 μW (-16 dBm) EIRP, WMTS bands allow higher (typically 100 mW max).
How do you calculate EIRP for leaky feeder systems?
Per-section EIRP = P_in - L_cable + G_leaky where G_leaky is coupling loss (typically negative in dB).
What is the EIRP of a weather radar?
500 kW-1 MW (87-90 dBm) with <1° beamwidth for atmospheric monitoring.
How does EIRP relate to NIR (Non-Ionizing Radiation) limits?
Safety assessments convert EIRP to power density at accessible distances per IEEE C95.1 or ICNIRP guidelines.
What is the EIRP limit for drone FPV systems?
FCC: <1W (30 dBm) in amateur bands, <25mW (14 dBm) in Part 15 bands (e.g., 5.8 GHz).
How do you calculate EIRP for distributed antenna systems (DAS)?
Per-antenna EIRP must comply with limits, with total system power managed to avoid aggregate violations.
What is the EIRP of a typical police radar gun?
10-100 mW (10-20 dBm) with highly directional antennas for accurate speed measurement.
How does EIRP affect moonbounce communication?
Requires extremely high EIRP (70+ dBW) to overcome 252 dB path loss to moon and back.
What is the EIRP limit for wireless microphones?
50 mW (17 dBm) in VHF, 250 mW (24 dBm) in UHF (FCC Part 74), with lower limits in some bands.