Analytical calculation for probability of detection given time-dependent search parameters

Melvin H. Friedman; Joseph Reynolds; David Wilson; Ronald Driggers

doi:10.1117/12.885161

9 May 2011 Analytical calculation for probability of detection given time-dependent search parameters

Melvin H. Friedman, Joseph Reynolds, David Wilson, Ronald Driggers

Proceedings Volume 8014, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXII; 80140C (2011) https://doi.org/10.1117/12.885161
Event: SPIE Defense, Security, and Sensing, 2011, Orlando, Florida, United States

Abstract

The problem solved in this paper is easily stated: given search parameters (p∞, τ) that are known functions of time, calculate how the probability a single observer acquires a target grows with time. This problem has been solved analytically. In this paper we describe the analytical solution and provide derivations of the results. Comparison with perception experiments will be reported in a future publication and hopefully will support the results presented here. The provided solution is applicable to any scenario where the search parameters are changing with time and are specified. In particular, the solution can be used to estimate the probability of target acquisition as a function of time: (1) when the sensor-target range is changing, (2) for a slewed sensor where the target is alternately in and out of the field of view, and (3) for a sensor that switches between wide and narrow fields of view.

Citation Download Citation

Melvin H. Friedman, Joseph Reynolds, David Wilson, and Ronald Driggers "Analytical calculation for probability of detection given time-dependent search parameters", Proc. SPIE 8014, Infrared Imaging Systems: Design, Analysis, Modeling, and Testing XXII, 80140C (9 May 2011); https://doi.org/10.1117/12.885161

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available