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Cumulative Probability of Detection Formula

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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. Check FAQs

p c = 1 - {(1 - p detect)}^{n}

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

Cumulative Probability of Detection Example

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Here is how the Cumulative Probability of Detection equation looks like with Values.

Here is how the Cumulative Probability of Detection equation looks like with Units.

Here is how the Cumulative Probability of Detection equation looks like.

0.4375 = 1 - {(1 - 0.25)}^{2}

0.4375 = 1 - {(1 - 0.25)}^{2}

0.4375 = 1 - {(1 - 0.25)}^{2}

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Cumulative Probability of Detection Solution

Follow our step by step solution on how to calculate Cumulative Probability of Detection?

FIRST Step Consider the formula

p c = 1 - {(1 - p detect)}^{n}

Next Step Substitute values of Variables

∴

p c = 1 - {(1 - 0.25)}^{2}

Next Step Prepare to Evaluate

∴

p c = 1 - {(1 - 0.25)}^{2}

LAST Step Evaluate

∴

p c = 0.4375

Cumulative Probability of Detection Formula Elements

Variables

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

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

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 Cumulative Probability of Detection?

Cumulative Probability of Detection evaluator uses Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans to evaluate the Cumulative Probability of Detection, The Cumulative Probability of Detection formula 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 is denoted by p_c symbol.

How to evaluate Cumulative Probability of Detection using this online evaluator? To use this online evaluator for Cumulative Probability of Detection, enter Detection Probability of Radar (p_detect) & N Scans (n) and hit the calculate button.

FAQs on Cumulative Probability of Detection

What is the formula to find Cumulative Probability of Detection?

The formula of Cumulative Probability of Detection is expressed as Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans. Here is an example- 0.4375 = 1-(1-0.25)^2.

How to calculate Cumulative Probability of Detection?

With Detection Probability of Radar (p_detect) & N Scans (n) we can find Cumulative Probability of Detection using the formula - Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans.

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Cumulative Probability of Detection Formula

Cumulative Probability of Detection Example

Cumulative Probability of Detection Solution

Cumulative Probability of Detection Formula Elements

Other formulas in Radar and Antenna Specifications category

How to Evaluate Cumulative Probability of Detection?

FAQs on Cumulative Probability of Detection

Variable Name