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Cumulative Probability Of Detection Calculator

Cumulative Probability Of Detection Equation:

\[ p_c = 1 - (1 - p_{detect})^n \]

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1. What is 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.

2. How Does the Calculator Work?

The calculator uses the cumulative probability equation:

\[ p_c = 1 - (1 - p_{detect})^n \]

Where:

Explanation: The equation calculates the probability that a target will be detected at least once over multiple radar scans, accounting for the cumulative effect of repeated detection attempts.

3. Importance of Cumulative Probability Calculation

Details: Accurate cumulative probability calculation is crucial for radar system performance evaluation, mission planning, and determining the effectiveness of surveillance operations over multiple scans.

4. Using the Calculator

Tips: Enter detection probability (0-1) and number of scans. All values must be valid (detection probability between 0-1, number of scans ≥1).

5. Frequently Asked Questions (FAQ)

Q1: What is Detection Probability Of Radar?
A: Detection Probability of Radar is defined as the probability of finding or surveilling the object inside the radar during a single scan.

Q2: What are N Scans?
A: N scans refers to the total number of scans run during radar detection operations.

Q3: Why does cumulative probability increase with more scans?
A: With each additional scan, there's another opportunity to detect the target, making it more likely that the target will be detected at least once over multiple scans.

Q4: What is the maximum value of cumulative probability?
A: The maximum cumulative probability is 1 (or 100%), meaning the target is certain to be detected over enough scans.

Q5: How does detection probability affect cumulative results?
A: Higher single-scan detection probabilities lead to faster convergence to high cumulative probabilities with fewer scans required.

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