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N Scans Formula:
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The N Scans formula calculates the number of radar scans required to achieve a certain cumulative probability of detection based on the individual detection probability per scan. It's a fundamental calculation in radar detection theory and surveillance systems.
The calculator uses the N Scans formula:
Where:
Explanation: The formula uses logarithmic transformation to calculate how many independent scans are needed to achieve a desired cumulative detection probability given the per-scan detection probability.
Details: Accurate N Scans calculation is crucial for radar system design, surveillance planning, and determining the optimal number of scans required to achieve desired detection performance in various operational scenarios.
Tips: Enter cumulative probability of detection (0 to 1) and detection probability per scan (0 to 1). Both values must be valid probabilities between 0 and 1, with detection probability greater than 0.
Q1: What is cumulative probability of detection?
A: 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.
Q2: 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.
Q3: What are typical values for detection probability?
A: Detection probability values typically range from 0.1 to 0.9 depending on radar capabilities, target characteristics, and environmental conditions.
Q4: When does the formula return undefined results?
A: The formula becomes undefined when detection probability is 1 (log10(0) is undefined) or when cumulative probability is 1 (infinite scans required).
Q5: How does this relate to radar system performance?
A: This calculation helps determine how many scans are needed to achieve desired detection reliability, which is crucial for mission planning and radar system evaluation.