HCF of three numbers

Cumulative Probability of Detection Calculator

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Radar and Antenna Specifications Radar Antennas Reception Special Purpose Radars

✖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]			+10% -10%

✖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]

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Cumulative Probability of Detection Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Detection Probability of Radar: 0.25 --> No Conversion Required
N Scans: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_c = 1-(1-p_detect)^n --> 1-(1-0.25)^2

Evaluating ... ...

p_c = 0.4375

STEP 3: Convert Result to Output's Unit

0.4375 --> No Conversion Required

FINAL ANSWER

0.4375 <-- Cumulative Probability of Detection

(Calculation completed in 00.004 seconds)

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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]

Cumulative Probability of Detection Formula

LaTeX Go

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

What is meant by probability of detection?

Probability of detection is 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.The older term “Blip Scan Ratio” was renamed to as “Probability of Detection”.

How to Calculate Cumulative Probability of Detection?

Cumulative Probability of Detection calculator uses Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans to calculate 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 calculate Cumulative Probability of Detection using this online calculator? To use this online calculator for Cumulative Probability of Detection, enter Detection Probability of Radar (p_detect) & N Scans (n) and hit the calculate button. Here is how the Cumulative Probability of Detection calculation can be explained with given input values -> 0.4375 = 1-(1-0.25)^2.

FAQ

What is 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 and is represented as p_c = 1-(1-p_detect)^n or Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans. Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar & N scans refers to the total number of scans run during radar detection.

How to calculate 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 is calculated using Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans. To calculate Cumulative Probability of Detection, you need Detection Probability of Radar (p_detect) & N Scans (n). With our tool, you need to enter the respective value for Detection Probability of Radar & N Scans 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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