Pulse Repetition Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)
frep = [c]/(2*Run)
This formula uses 1 Constants, 2 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Pulse Repetition Frequency - (Measured in Hertz) - Pulse Repetition Frequency refers to the number of pulses transmitted by the radar system in one second.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Unambiguous Range: 8.79 Kilometer --> 8790 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
frep = [c]/(2*Run) --> [c]/(2*8790)
Evaluating ... ...
frep = 17053.0408418658
STEP 3: Convert Result to Output's Unit
17053.0408418658 Hertz --> No Conversion Required
FINAL ANSWER
17053.0408418658 17053.04 Hertz <-- Pulse Repetition Frequency
(Calculation completed in 00.004 seconds)

Credits

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

Pulse Repetition Frequency Formula

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

What is PRT and PRF?

PRF stands for Pulse Repetition Frequency. It is equal to number of pulses which are transmitted per second. PRT stands for Pulse Repetition Time. The time between beginning of one pulse and start of next pulse is known as Pulse Repetition Time. The PRF and PRT are related as per following equation

How to Calculate Pulse Repetition Frequency?

Pulse Repetition Frequency calculator uses Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range) to calculate the Pulse Repetition Frequency, The Pulse Repetition Frequency formula is defined as the frequency by which pulse has to be released to reach its target. Pulse Repetition Frequency is denoted by frep symbol.

How to calculate Pulse Repetition Frequency using this online calculator? To use this online calculator for Pulse Repetition Frequency, enter Maximum Unambiguous Range (Run) and hit the calculate button. Here is how the Pulse Repetition Frequency calculation can be explained with given input values -> 170.5304 = [c]/(2*8790) .

FAQ

What is Pulse Repetition Frequency?
The Pulse Repetition Frequency formula is defined as the frequency by which pulse has to be released to reach its target and is represented as frep = [c]/(2*Run) or Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range). Maximum Unambiguous Range is the range beyond which the target appears as second-time-around-echoes is the maximum unambiguous range.
How to calculate Pulse Repetition Frequency?
The Pulse Repetition Frequency formula is defined as the frequency by which pulse has to be released to reach its target is calculated using Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range). To calculate Pulse Repetition Frequency, you need Maximum Unambiguous Range (Run). With our tool, you need to enter the respective value for Maximum Unambiguous Range 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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