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Probability of Detection Formula

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

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

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

Probability of Detection Example

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

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

Here is how the Probability of Detection equation looks like.

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

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

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

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Probability of Detection Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p detect = 1 - {(1 - 0.4375)}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

p detect = 1 - {(1 - 0.4375)}^{\frac{1}{2}}

LAST Step Evaluate

∴

p detect = 0.25

Probability of Detection Formula Elements

Variables

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

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

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 Probability of Detection?

Probability of Detection evaluator uses Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans) to evaluate the Detection Probability of Radar, Probability of Detection refers to the likelihood or probability that a radar system or antenna will correctly detect the presence of a target or signal of interest. It is a critical performance metric used to assess the effectiveness and reliability of a radar system or an antenna in detecting and tracking targets. Detection Probability of Radar is denoted by p_detect symbol.

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

FAQs on Probability of Detection

What is the formula to find Probability of Detection?

The formula of Probability of Detection is expressed as Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans). Here is an example- 0.249667 = 1-(1-0.4375)^(1/2).

How to calculate Probability of Detection?

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

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Probability of Detection Formula

Probability of Detection Example

Probability of Detection Solution

Probability of Detection Formula Elements

Other formulas in Radar and Antenna Specifications category

How to Evaluate Probability of Detection?

FAQs on Probability of Detection

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