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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Cumulative probability of detection is defined as the ratio of detected aims to the number of all possible blips on the radar screen, i.e. all possible targets in a given direction.ⓘ Cumulative Probability of Detection [p_c]			+10% -10%
✖Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar.ⓘ Detection Probability of Radar [p_detect]			+10% -10%

✖N scans refers to the total number of scans run during radar detection.ⓘ N Scans [n]

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Formula

✖

N Scans

Formula

`"n" = (log10(1-"p"_{"c"}))/(log10(1-"p"_{"detect"}))`

Example

`"2"=(log10(1-"0.4375"))/(log10(1-"0.25"))`

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Download Radar & Antenna Specifications Formulas PDF PDF Image

N Scans Solution

STEP 0: Pre-Calculation Summary

Formula Used

N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))
n = (log10(1-p_c))/(log10(1-p_detect))
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

N Scans - N scans refers to the total number of scans run during radar detection.
Cumulative Probability of Detection - Cumulative probability of detection is defined as the ratio of detected aims to the number of all possible blips on the radar screen, i.e. all possible targets in a given direction.
Detection Probability of Radar - Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar.

STEP 1: Convert Input(s) to Base Unit

Cumulative Probability of Detection: 0.4375 --> No Conversion Required
Detection Probability of Radar: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (log10(1-p_c))/(log10(1-p_detect)) --> (log10(1-0.4375))/(log10(1-0.25))

Evaluating ... ...

n = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- N Scans

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

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]

N Scans Formula

N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))
n = (log10(1-p_c))/(log10(1-p_detect))

How do you find the probability of detection?

The detection probability (p) obtained from survey results was used to compute the proportion of rails detected over a given number of counts via the formula (1 – [1 – p]ns) × 100%

How to Calculate N Scans?

N Scans calculator uses N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)) to calculate the N Scans, The N Scans formula is defined as the number of n or minimum scans required of an area to get the accurate probability of surveillance and detections. N Scans is denoted by n symbol.

How to calculate N Scans using this online calculator? To use this online calculator for N Scans, enter Cumulative Probability of Detection (p_c) & Detection Probability of Radar (p_detect) and hit the calculate button. Here is how the N Scans calculation can be explained with given input values -> 1.996912 = (log10(1-0.4375))/(log10(1-0.25)).

FAQ

What is N Scans?

The N Scans formula is defined as the number of n or minimum scans required of an area to get the accurate probability of surveillance and detections and is represented as n = (log10(1-p_c))/(log10(1-p_detect)) or N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)). Cumulative probability of detection is defined as the ratio of detected aims to the number of all possible blips on the radar screen, i.e. all possible targets in a given direction & Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar.

How to calculate N Scans?

The N Scans formula is defined as the number of n or minimum scans required of an area to get the accurate probability of surveillance and detections is calculated using N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)). To calculate N Scans, you need Cumulative Probability of Detection (p_c) & Detection Probability of Radar (p_detect). With our tool, you need to enter the respective value for Cumulative Probability of Detection & Detection Probability of Radar 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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