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Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator

Easily calculate and compute monostatic radar range equation, target return power & signal-to-noise ratio (snr) calculator with accurate equations, live formulas, and expert guidance.

Radar pulse peak RF power.

Boresight antenna gain.

Radar frequency (e.g. 9.4 GHz for X-band marine/military radar).

Target RCS (e.g. 1-10 m² for aircraft, 0.001 m² for stealth).

Slant range to target.

Frontend receiver noise figure.

Receiver matched filter bandwidth.

Calculated Result
0 dB

Target Return SNR

Target Return SNR

0 dB

Output Snr Db

0

Received Echo Power Dbm

-103.4

Noise Floor Power Dbm

-103.5

Received Echo Watts

4.529e-14

0 — dB

Calculation Breakdown

  1. Applied FormulaEvaluates two-way fourth-power distance (R⁴) signal decay for monostatic primary radar systems, predicting received echo power and matched-filter detection SNR.P_r = \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 R^4}, \quad R_{max} = \left[ \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 S_{min}} \right]^{1/4}

Radar Range & Target SNR Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Target Return SNR

What Is the Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator?

This tool computes monostatic radar range equation, target return power & signal-to-noise ratio (snr) calculator with high precision arithmetic.

How Does the Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator Work?

Evaluates two-way fourth-power distance (R⁴) signal decay for monostatic primary radar systems, predicting received echo power and matched-filter detection SNR.

Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator Formula & Variables

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

Pr=PtG2λ2σ(4π)3R4,Rmax=[PtG2λ2σ(4π)3Smin]1/4P_r = \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 R^4}, \quad R_{max} = \left[ \frac{P_t G^2 \lambda^2 \sigma}{(4\pi)^3 S_{min}} \right]^{1/4}

Evaluates two-way fourth-power distance (R⁴) signal decay for monostatic primary radar systems, predicting received echo power and matched-filter detection SNR.

How to Use the Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator

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

Step-by-Step Example Calculation

Monostatic Radar Range Equation, Target Return Power & Signal-to-Noise Ratio (SNR) Calculator Example

Input Values:

peakTransmitPowerKw:50
antennaGainDbi:34
radarFrequencyGhz:9.4
radarCrossSectionRcsM2:5
targetRangeKm:65
receiverNoiseFigureDb:3.5
receiverBandwidthMhz:5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dB.

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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