Maximum Unambiguous Range Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
Run = ([c]*Tpulse)/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
Run = ([c]*Tpulse)/2 --> ([c]*5.864E-05)/2
Evaluating ... ...
Run = 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 00.020 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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

Maximum Unambiguous Range Formula

Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
Run = ([c]*Tpulse)/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 Run symbol.

How to calculate Maximum Unambiguous Range using this online calculator? To use this online calculator for Maximum Unambiguous Range, enter Pulse Repetition Time (Tpulse) 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 Run = ([c]*Tpulse)/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 (Tpulse). 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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