Cell Tower Coverage Calculator
Coverage radius from antenna height, power, and frequency.
About this calculator
This calculator estimates how far a cell tower's signal reaches using the Okumura-Hata propagation model, the classic empirical formula for predicting path loss in cellular networks between 150 MHz and 1500+ MHz (extended here for higher bands). It first computes the effective isotropic radiated power (EIRP) by adding transmit power and antenna gain in dB, then subtracts your device's receiver sensitivity to get the maximum path loss the link can tolerate before the signal drops below what a phone can decode. The Hata formula itself builds a base urban path-loss curve from frequency, antenna height, and a mobile-antenna correction factor, then layers on an environment correction: suburban and rural/open settings get a loss reduction because there's less clutter (buildings, foliage) to absorb and scatter the signal than in dense urban cores.
Solving that equation for distance, then exponentiating, gives the coverage radius, which is squared and multiplied by π to get a simple circular coverage area — real coverage footprints are rarely circular, since terrain, buildings, and antenna sectorization all distort them. The population-covered figure is a rough estimate using flat density assumptions per environment type (3,000/km² urban, 500/km² suburban, 50/km² rural) rather than real demographic data. Treat the output as a first-pass link-budget estimate for site planning, not a substitute for a proper RF survey, drive test, or terrain-aware propagation tool — real-world results vary with foliage, building density, and seasonal conditions.
Inputs
Results
Coverage radius (km)
10.01
How to Use This Calculator
- Enter the base station transmit power in dBm and the antenna gain in dBi.
- Enter the antenna height above ground in meters and the operating frequency in MHz.
- Enter the receiver sensitivity in dBm (the minimum signal level the mobile device can decode).
- Select the environment type: dense urban, suburban, or rural/open.
- Review the Coverage Radius (km/mi) and Coverage Area (km²/mi²) outputs, along with EIRP, Max Path Loss, Free-Space Path Loss at Edge, and Estimated Population Covered.
How the result changes with Receiver sensitivity (dBm)
| Receiver sensitivity (dBm) | Coverage radius (km) |
|---|---|
| -130 | 71.17 |
| -75 | 1.95 |
| -50 | 0.38 |
What each input means
- Transmit power (dBm)
- Base station transmit power in dBm. Typical macro cell: 43-46 dBm (20-40W).
- Antenna gain (dBi)
- Directional antenna gain. Typical panel antenna: 12-18 dBi.
- Antenna height (m)
- Height of the antenna above ground level in meters.
- Frequency (MHz)
- Operating frequency in MHz. Lower = farther range. Common: 700, 850, 1900, 2100, 3500 MHz.
- Receiver sensitivity (dBm)
- Minimum signal level the mobile device can decode. Typical: -95 to -105 dBm.
- Environment Type
- Select environment type affecting propagation loss
What each result means
- Coverage radius (km)
- Maximum coverage distance using Okumura-Hata model.
- Coverage radius (mi)
- Coverage radius in miles.
- Coverage area (km²)
- Circular coverage area in square kilometers.
- Coverage area (mi²)
- Circular coverage area in square miles.
- EIRP (dBm)
- Effective Isotropic Radiated Power = TX power + antenna gain.
- Max path loss (dB)
- Maximum allowable propagation loss (EIRP - receiver sensitivity).
- Free-space path loss at edge (dB)
- Theoretical free-space loss at the coverage edge for comparison.
- Est. population covered
- Rough population estimate based on environment type density.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersTransmit power (dBm) = 43, Antenna gain (dBi) = 15, Antenna height (m) = 30, Frequency (MHz) = 1900 = 6 input(s) provided
- Calculate Coverage radiusCoverage radius = max(0.1, pow(10, logD))10.01 = 10.01
- Calculate Coverage radiusCoverage radius = coverageRadiusKm * 0.6213716.22 = 6.22
- Calculate Coverage areaCoverage area = π * coverageRadiusKm * coverageRadiusKm315.04 = 315.04
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does lowering the frequency increase the coverage radius?
Lower frequencies suffer less path loss over distance under the Okumura-Hata model — the base loss term grows with 26.16·log10(frequency), so a lower frequency produces a smaller path-loss value for the same distance. That means more distance can be traveled before hitting the maximum allowable path loss (EIRP minus receiver sensitivity), which is why carriers prize low-band spectrum like 700 MHz for wide-area rural coverage.
Why does the same tower show a much smaller coverage radius in dense urban than in rural/open?
The calculator subtracts an environment correction from the base urban path-loss figure for suburban and rural settings, reflecting that there's less clutter — buildings and foliage — to absorb and scatter the signal outside dense urban cores. Dense urban gets no correction at all, so it uses the raw Hata urban path-loss curve, which produces the shortest radius of the three environment options for identical power and height settings.
How is the estimated population covered calculated, and how reliable is it?
It multiplies the computed circular coverage area by a flat population-density assumption per environment type — 3,000 people/km² urban, 500/km² suburban, 50/km² rural — rather than pulling real demographic or census data for the specific site. It's meant as a rough planning figure only; actual population coverage will differ based on where people actually live within that circle and how irregular the true coverage footprint is.
Why is the coverage area shown as a perfect circle when real cell coverage looks nothing like that?
The calculator solves the Hata path-loss equation for a single maximum distance, then computes area as π times that radius squared — a mathematical simplification that assumes uniform propagation in every direction. Real-world footprints are distorted by terrain, buildings, antenna sectorization, and seasonal foliage changes, so treat the circular figure as a link-budget estimate for first-pass planning, not an actual coverage map.
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