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N Scans Formula

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N scans refers to the total number of scans run during radar detection. Check FAQs

n = \frac{\log 10 (1 - p c)}{\log 10 (1 - p detect)}

n - N Scans?p_c - Cumulative Probability of Detection?p_detect - Detection Probability of Radar?

N Scans Example

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Here is how the N Scans equation looks like with Values.

Here is how the N Scans equation looks like with Units.

Here is how the N Scans equation looks like.

2 = \frac{\log 10 (1 - 0.4375)}{\log 10 (1 - 0.25)}

2 = \frac{\log 10 (1 - 0.4375)}{\log 10 (1 - 0.25)}

2 = \frac{\log 10 (1 - 0.4375)}{\log 10 (1 - 0.25)}

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N Scans Solution

Follow our step by step solution on how to calculate N Scans?

FIRST Step Consider the formula

n = \frac{\log 10 (1 - p c)}{\log 10 (1 - p detect)}

Next Step Substitute values of Variables

∴

n = \frac{\log 10 (1 - 0.4375)}{\log 10 (1 - 0.25)}

Next Step Prepare to Evaluate

∴

n = \frac{\log 10 (1 - 0.4375)}{\log 10 (1 - 0.25)}

LAST Step Evaluate

∴

n = 2

N Scans Formula Elements

Variables

Functions

N Scans

N scans refers to the total number of scans run during radar detection.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find N Scans

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.

Symbol: p_c

Measurement: NAUnit: Unitless

Note: Value should be less than 1.01.

Formulas to find Cumulative Probability of Detection

Detection Probability of Radar

Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar.

Symbol: p_detect

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Detection Probability of Radar

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.

Syntax: log10(Number)

Other formulas in Radar and Antenna Specifications category

Go Range of Target

R t = \frac{[c] \cdot T run}{2}

Go Measured Runtime

T run = 2 \cdot \frac{R t}{[c]}

Go Maximum Unambiguous Range

R un = \frac{[c] \cdot T pulse}{2}

Go Pulse Repetition Time

T pulse = \frac{2 \cdot R un}{[c]}

How to Evaluate N Scans?

N Scans evaluator uses N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)) to evaluate 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 evaluate N Scans using this online evaluator? To use this online evaluator for N Scans, enter Cumulative Probability of Detection (p_c) & Detection Probability of Radar (p_detect) and hit the calculate button.

FAQs on N Scans

What is the formula to find N Scans?

The formula of N Scans is expressed as N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)). Here is an example- 1.996912 = (log10(1-0.4375))/(log10(1-0.25)).

How to calculate N Scans?

With Cumulative Probability of Detection (p_c) & Detection Probability of Radar (p_detect) we can find N Scans using the formula - N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar)). This formula also uses Common Logarithm (log10) function(s).

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N Scans Formula

N Scans Example

N Scans Solution

N Scans Formula Elements

Other formulas in Radar and Antenna Specifications category

How to Evaluate N Scans?

FAQs on N Scans

Variable Name