Pulse Repetition Time Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖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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✖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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Formula

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Pulse Repetition Time

Formula

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

Example

`"58.64057μs"=(2*"8.79km")/"[c]"`

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Download Radar & Antenna Specifications Formulas PDF

Pulse Repetition Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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

T_pulse = (2*R_un)/[c] --> (2*8790)/[c]

Evaluating ... ...

T_pulse = 5.86405679358351E-05

STEP 3: Convert Result to Output's Unit

5.86405679358351E-05 Second -->58.6405679358351 Microsecond (Check conversion here)

FINAL ANSWER

58.6405679358351 ≈ 58.64057 Microsecond <-- Pulse Repetition Time

(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]

Pulse Repetition Time Formula

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

What is the Repetition rate?

Repetition rate is the proportion of pupils from a cohort enrolled in a given grade at a given school year of primary or secondary education who study in the same grade in the following school year.

How to Calculate Pulse Repetition Time?

Pulse Repetition Time calculator uses Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c] to calculate the Pulse Repetition Time, The Pulse Repetition Time formula is defined as the time required by the pulse to reach its target and pulse must travel to the target and back before detection, or twice the range. Pulse Repetition Time is denoted by T_pulse symbol.

How to calculate Pulse Repetition Time using this online calculator? To use this online calculator for Pulse Repetition Time, enter Maximum Unambiguous Range (R_un) and hit the calculate button. Here is how the Pulse Repetition Time calculation can be explained with given input values -> 5.9E+9 = (2*8790)/[c].

FAQ

What is Pulse Repetition Time?

The Pulse Repetition Time formula is defined as the time required by the pulse to reach its target and pulse must travel to the target and back before detection, or twice the range and is represented as T_pulse = (2*R_un)/[c] or Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]. 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 Time?

The Pulse Repetition Time formula is defined as the time required by the pulse to reach its target and pulse must travel to the target and back before detection, or twice the range is calculated using Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]. To calculate Pulse Repetition Time, you need Maximum Unambiguous Range (R_un). 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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