Maximum Unambiguous Range Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Pulse Repetition Time refers to the time duration during which a radar transmitter emits a single pulse of electromagnetic energy as it is the period from the start to the end of pulse.ⓘ Pulse Repetition Time [T_pulse]

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✖Maximum Unambiguous Range is the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range.ⓘ Maximum Unambiguous Range [R_un]

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Formula

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Maximum Unambiguous Range

Formula

`"R"_{"un"} = ("[c]"*"T"_{"pulse"})/2`

Example

`"8.789915km"=("[c]"*"58.64μs")/2`

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Maximum Unambiguous Range Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
R_un = ([c]*T_pulse)/2
This formula uses 1 Constants, 2 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Maximum Unambiguous Range - (Measured in Meter) - Maximum Unambiguous Range is the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range.
Pulse Repetition Time - (Measured in Second) - Pulse Repetition Time refers to the time duration during which a radar transmitter emits a single pulse of electromagnetic energy as it is the period from the start to the end of pulse.

STEP 1: Convert Input(s) to Base Unit

Pulse Repetition Time: 58.64 Microsecond --> 5.864E-05 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_un = ([c]*T_pulse)/2 --> ([c]*5.864E-05)/2

Evaluating ... ...

R_un = 8789.91486856

STEP 3: Convert Result to Output's Unit

8789.91486856 Meter -->8.78991486856 Kilometer (Check conversion here)

FINAL ANSWER

8.78991486856 ≈ 8.789915 Kilometer <-- Maximum Unambiguous Range

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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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

Radar Antenna Height

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

Target Height

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

Effective Area of Receiving Antenna

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

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

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

Range of Target

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

Measured Runtime

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

Maximum Unambiguous Range Formula

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

What is the maximum unambiguous range of the modified radar system?

The unambiguous range of a radar is the maximum range at which a target can be located so as to guarantee that the reflected signal/pulse from that target corresponds to the most recent transmitted pulse. The radar range is measured by the time delay between pulse transmission and reception.

How to Calculate Maximum Unambiguous Range?

Maximum Unambiguous Range calculator uses Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2 to calculate the Maximum Unambiguous Range, The Maximum Unambiguous Range formula is defined as the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range, Run. Maximum Unambiguous Range is denoted by R_un symbol.

How to calculate Maximum Unambiguous Range using this online calculator? To use this online calculator for Maximum Unambiguous Range, enter Pulse Repetition Time (T_pulse) and hit the calculate button. Here is how the Maximum Unambiguous Range calculation can be explained with given input values -> 8789.915 = ([c]*5.864E-05)/2.

FAQ

What is Maximum Unambiguous Range?

The Maximum Unambiguous Range formula is defined as the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range, Run and is represented as R_un = ([c]*T_pulse)/2 or Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2. Pulse Repetition Time refers to the time duration during which a radar transmitter emits a single pulse of electromagnetic energy as it is the period from the start to the end of pulse.

How to calculate Maximum Unambiguous Range?

The Maximum Unambiguous Range formula is defined as the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range, Run is calculated using Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2. To calculate Maximum Unambiguous Range, you need Pulse Repetition Time (T_pulse). With our tool, you need to enter the respective value for Pulse Repetition Time 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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