Simultaneous position and number of source estimates using Random Set Theory

Andreas M. Ali; Ralph E. Hudson; Flavio Lorenzelli; Kung Yao

doi:10.1117/12.793856

3 September 2008 Simultaneous position and number of source estimates using Random Set Theory

Andreas M. Ali, Ralph E. Hudson, Flavio Lorenzelli, Kung Yao

Proceedings Volume 7074, Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII; 70740G (2008) https://doi.org/10.1117/12.793856
Event: Optical Engineering + Applications, 2008, San Diego, California, United States

Abstract

Joint estimation and detection for multi-sensor and multi-target algorithms are often hybrids of both analytical and ad-hoc approaches at various levels. The intricacies of the resulting solution formulation often obscures design intuition leaving many design choices to a largely trial and error based approach. Random Finite Set Theory (RFST)^1,2 is a formal generalization of classical probability theory to the random set domain. By treating multi-target and multi-sensor jointly, RFST is able to provide a systematic theoretical framework for rigorous mathematical analysis. Because of its set theory domain, RFST is able to model the randomness of missed detection, sensor failure, target appearance and disappearance, clutter, jammer, ambiguous measurements, and other practical artifacts within its probability framework. Furthermore, a rigorous statistical framework, the Finite Set Statistics, has been developed for RFST that includes statistical operations such as: Maximum Likelihood, Bayesian prediction-correction filter, sensor fusion, and even the Cramer-Rao Lower Bound (CRB). In this paper we will apply RFST to jointly detect and locate a target in a power-aware wireless sensor network setting. We will further derive the CRB using both classical and RFST approaches as verification. Then we will use analytical results in conjunction with simulations to develop insights for choosing the design parameters.

Citation Download Citation

Andreas M. Ali, Ralph E. Hudson, Flavio Lorenzelli, and Kung Yao "Simultaneous position and number of source estimates using Random Set Theory", Proc. SPIE 7074, Advanced Signal Processing Algorithms, Architectures, and Implementations XVIII, 70740G (3 September 2008); https://doi.org/10.1117/12.793856

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
10 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Sensors

Sensor networks

Detection and tracking algorithms

Target detection

Data fusion

Mathematical modeling

Failure analysis

Show All Keywords

Keywords/Phrases

Search In:

Publication Years