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-pc))/(log10(1-pdetect))
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-pc))/(log10(1-pdetect)) --> (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)

Credits

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Radar and Antenna Specifications Calculators

Maximum Unambiguous Range
​ LaTeX ​ Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2
Pulse Repetition Time
​ LaTeX ​ Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]
Range of Target
​ LaTeX ​ Go Target Range = ([c]*Measured Runtime)/2
Measured Runtime
​ LaTeX ​ Go Measured Runtime = 2*Target Range/[c]

N Scans Formula

​LaTeX ​Go
N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))
n = (log10(1-pc))/(log10(1-pdetect))

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 (pc) & Detection Probability of Radar (pdetect) 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-pc))/(log10(1-pdetect)) 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 (pc) & Detection Probability of Radar (pdetect). 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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