Radar Antenna Height Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Range Resolution is the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges.ⓘ Range Resolution [ΔR]			+10% -10%
✖Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal.ⓘ Range [R_o]			+10% -10%
✖Target height is defined as the distance of a target above the Earth's surface (height above ground).ⓘ Target Height [H_t]			+10% -10%

✖Antenna Height is the height of the antenna that it must be placed high above the ground in terms of the wavelength of the radio wave being transmitted.ⓘ Radar Antenna Height [H_a]

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Formula

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Radar Antenna Height

Formula

`"H"_{"a"} = ("ΔR"*"R"_{"o"})/(2*"H"_{"t"})`

Example

`"450m"=("9m"*"40000m")/(2*"400m")`

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Download Radar & Antenna Specifications Formulas PDF

Radar Antenna Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Antenna Height = (Range Resolution*Range)/(2*Target Height)
H_a = (ΔR*R_o)/(2*H_t)
This formula uses 4 Variables

Variables Used

Antenna Height - (Measured in Meter) - Antenna Height is the height of the antenna that it must be placed high above the ground in terms of the wavelength of the radio wave being transmitted.
Range Resolution - (Measured in Meter) - Range Resolution is the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges.
Range - (Measured in Meter) - Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal.
Target Height - (Measured in Meter) - Target height is defined as the distance of a target above the Earth's surface (height above ground).

STEP 1: Convert Input(s) to Base Unit

Range Resolution: 9 Meter --> 9 Meter No Conversion Required
Range: 40000 Meter --> 40000 Meter No Conversion Required
Target Height: 400 Meter --> 400 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_a = (ΔR*R_o)/(2*H_t) --> (9*40000)/(2*400)

Evaluating ... ...

H_a = 450

STEP 3: Convert Result to Output's Unit

450 Meter --> No Conversion Required

FINAL ANSWER

450 Meter <-- Antenna Height

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 24 Radar & Antenna Specifications Calculators

Maximum Range of Radar

Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25

Minimum Detectable Signal

Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)

N Scans

Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))

Transmitted Gain

Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2

Transmitted Frequency

Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)

Power Density Radiated by Lossless Antenna

Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna

Maximum Power Density Radiated by Antenna

Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna

Maximum Gain of Antenna

Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density

Target Height

Go Target Height = (Range Resolution*Range)/(2*Antenna Height)

Radar Antenna Height

Go Antenna Height = (Range Resolution*Range)/(2*Target Height)

Probability of Detection

Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)

Cumulative Probability of Detection

Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans

Antenna Aperture Efficiency

Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area

Antenna Area

Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency

Effective Area of Receiving Antenna

Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency

Pulse Repetition Frequency

Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)

Maximum Unambiguous Range

Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2

Pulse Repetition Time

Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]

Target Velocity

Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2

Doppler Frequency

Go Doppler Frequency = Doppler Angular Frequency/(2*pi)

Doppler Angular Frequency

Go Doppler Angular Frequency = 2*pi*Doppler Frequency

Radial Velocity

Go Radial Velocity = (Doppler Frequency*Wavelength)/2

Measured Runtime

Go Measured Runtime = 2*Target Range/[c]

Range of Target

Go Target Range = ([c]*Measured Runtime)/2

Radar Antenna Height Formula

Antenna Height = (Range Resolution*Range)/(2*Target Height)
H_a = (ΔR*R_o)/(2*H_t)

Can an antenna be too high?

In general, the higher you place your antenna, the better. It would be best to have your antenna placed 30 feet above ground level to give you the clearest over-the-air connection with a tower. For those looking for that height, outdoor antennas are usually a good place to start.

How to Calculate Radar Antenna Height?

Radar Antenna Height calculator uses Antenna Height = (Range Resolution*Range)/(2*Target Height) to calculate the Antenna Height, The Radar antenna height formula is defined as the ability to communicate over long distances generally requires a low radiation angle, meaning that an antenna must be placed high above the ground in terms of the wavelength of the radio wave being transmitted. Antenna Height is denoted by H_a symbol.

How to calculate Radar Antenna Height using this online calculator? To use this online calculator for Radar Antenna Height, enter Range Resolution (ΔR), Range (R_o) & Target Height (H_t) and hit the calculate button. Here is how the Radar Antenna Height calculation can be explained with given input values -> 225 = (9*40000)/(2*400).

FAQ

What is Radar Antenna Height?

The Radar antenna height formula is defined as the ability to communicate over long distances generally requires a low radiation angle, meaning that an antenna must be placed high above the ground in terms of the wavelength of the radio wave being transmitted and is represented as H_a = (ΔR*R_o)/(2*H_t) or Antenna Height = (Range Resolution*Range)/(2*Target Height). Range Resolution is the ability of radar system to distinguish between two or more targets on the same bearing but at different ranges, Range refers to the distance between the radar antenna (or the radar system) and a target or object that reflects the radar signal & Target height is defined as the distance of a target above the Earth's surface (height above ground).

How to calculate Radar Antenna Height?

The Radar antenna height formula is defined as the ability to communicate over long distances generally requires a low radiation angle, meaning that an antenna must be placed high above the ground in terms of the wavelength of the radio wave being transmitted is calculated using Antenna Height = (Range Resolution*Range)/(2*Target Height). To calculate Radar Antenna Height, you need Range Resolution (ΔR), Range (R_o) & Target Height (H_t). With our tool, you need to enter the respective value for Range Resolution, Range & Target Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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