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Hata-Okumura Cellular Propagation Path Loss Calculator

The Hata-Okumura model is the standard empirical propagation formula for macrocell planning in the 150–1500 MHz frequency bands.

Carrier frequency (150 - 1500 MHz).

Effective base station antenna tower height (30 - 200 m).

Mobile device height above ground (1 - 10 m).

Transmitter-receiver separation distance (1 - 20 km).

Calculated Result
144.5 dB

Hata Model Path Loss

Environment Category

URBAN

Urban Baseline Loss

144.5 dB

Mobile Correction a(hm)

0.02 dB

Calculation Breakdown

  1. Correction Factora(hm) = (1.1·log₁₀f - 0.7)·hm - (1.56·log₁₀f - 0.8) = 0.02 dB
  2. Hata EquationL_path = 144.5 dB (urban profile)

What Is the Hata-Okumura Cellular Propagation Path Loss Calculator?

The Hata model is an empirical formulation of the graphical path loss data provided by Yoshihisa Okumura.

How Does the Hata-Okumura Cellular Propagation Path Loss Calculator Work?

Combines base station height advantage with distance power law exponent (~3.5 in urban areas) and antenna correction.

Hata-Okumura Cellular Propagation Path Loss Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

L_{ ext{urban}} = 69.55 + 26.16log_{10}f - 13.82log_{10}h_b - a(h_m) + [44.9 - 6.55log_{10}h_b]log_{10}d

Empirical regression model derived from extensive Okumura field measurements.

How to Use the Hata-Okumura Cellular Propagation Path Loss Calculator

  1. Input carrier frequency, tower height, mobile receiver height, and distance in kilometers.

Step-by-Step Example Calculation

900 MHz Cellular Macrocell in Urban Environment

Input Values:

carrierFrequencyMhz:900
baseStationHeightM:45
mobileAntennaHeightM:1.5
distanceKm:4
Worked Steps: Predicts median path loss of 127.2 dB at 4 km distance.

Understanding Your Result

Provides median path loss in decibels used to evaluate cell radius and coverage boundaries.

Factors That Affect the Result

  • Building density, street canyon orientation, and foliage density cause deviations from median predictions.

When Should You Use This Calculator?

  • Cellular 2G/3G/4G/5G macrocell site acquisition, link budget sizing, and frequency reuse planning.

Assumptions & Limitations

  • Valid for distances 1–20 km and frequencies up to 1500 MHz (COST 231 extends to 2000 MHz).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ITU-R empirical land mobile propagation model.

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