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Radar Range Equation & Received Power Calculator

Easily calculate and compute radar range equation & received power calculator with accurate equations, live formulas, and expert guidance.

Pulse peak RF output power.

Transmit and receive antenna gain.

Carrier frequency (e.g. X-band = 9.4 GHz).

Radar cross-section of target.

Line of sight distance.

Internal RF, radome, and beam shape losses.

Calculated Result
-113.9 dBm

Received Power P_r

Received Power P_r

-113.9 dBm

Pr Dbm

-113.90488946976632

Pr Watts

4.06921890053895e-15

Wavelength M

0.03189281468085106

Range Km

75

-113.9 — dBm

Calculation Breakdown

  1. Applied FormulaCalculates target return power and receiver Signal-to-Noise Ratio (SNR) using the fundamental monostatic radar range equation.P_r = \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 R^4 L}

Radar Range Equation Metric Output

Interactive visualization based on your current inputs

Calculated Value
-113.9-85.2-56.5-27.71.0Received Power P_r

What Is the Radar Range Equation & Received Power Calculator?

This tool computes radar range equation & received power calculator with high precision arithmetic.

How Does the Radar Range Equation & Received Power Calculator Work?

Calculates target return power and receiver Signal-to-Noise Ratio (SNR) using the fundamental monostatic radar range equation.

Radar Range Equation & Received Power Calculator Formula & Variables

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

Pr=PtG2λ2σ(4π)3R4LP_r = \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 R^4 L}

Calculates target return power and receiver Signal-to-Noise Ratio (SNR) using the fundamental monostatic radar range equation.

How to Use the Radar Range Equation & Received Power Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Radar Range Equation & Received Power Calculator Example

Input Values:

peakPowerKw:50
antennaGainDbi:34
frequencyGhz:9.4
targetRcsM2:2
rangeKm:75
systemLossDb:4
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dBm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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