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Journal ArticleDOI

Statistical theory of d.f. fixing

R.G. Stansfield
- 01 Dec 1947 - 
- Vol. 94, Iss: 15, pp 762-770
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TLDR
In this paper, it was shown that the reliability of a fix does not depend on the size of the particular "cocked hat" from which it is derived, and the reciprocal of the root-mean-square error expected in the position of the fix should be adopted as the conventional standard quantity for measuring the reliability.
Abstract
The paper deals with the location of an object of u nknown position, on which bearings are taken from two or more stations whose positions are known, and provides solutions to the two problems:-(a) Given a set of bearings, what is the most probable position of the object?(b) How far from the true position is the position indicated by the “fix” likely to be?Diagrams are given to show the results of applying the theory to typical practical cases.It is shown that, subject to certain qualifications, reliability of a fix does not depend on the size of the particular “cocked hat” from which it is derived.It is proposed that the reciprocal of the root-mean-square error expected in the position of the fix should be adopted as the conventional standard quantity for measuring the reliability of a fix.

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Citations
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Journal ArticleDOI

A Combined TOA/MDF Technology Upgrade of the U.S. National Lightning Detection Network

TL;DR: The U.S. National Lightning Detection Network (NLDN) has provided real-time and historical lightning data to the electric utility industry, the National Weather Service, and other government and commercial users.
Journal ArticleDOI

Optimization of observer trajectories for bearings-only target localization

TL;DR: In this article, the authors proposed an approach based on maximizing the determinant of the Fisher information matrix (FIM) subject to state constraints imposed on the observer trajectory (e.g., by the target defense system).
Journal ArticleDOI

Global node selection for localization in a distributed sensor network

TL;DR: This work considers the problem of selecting the best nodes for localizing (in the mean squared position error sense) a target in a distributed wireless sensor network and introduces different computationally efficient node selection approaches that use global network knowledge.
Journal ArticleDOI

The US National Lightning Detection Network/sup TM/ and applications of cloud-to-ground lightning data by electric power utilities

TL;DR: The US National Lightning Detection Network/sup TM/ (NLDN) as mentioned in this paper is a system that senses the electromagnetic fields that are radiated by individual return strokes in cloud-to-ground (CG) flashes.
Journal ArticleDOI

Localization of Narrowband Radio Emitters Based on Doppler Frequency Shifts

TL;DR: A single-step approach based on the maximum likelihood criterion is proposed here for both known and unknown waveforms and it is shown that in some cases of interest the proposed method inherently selects reliable observations while ignoring unreliable data.
References
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Journal ArticleDOI

The application of ultra-short-wave direction finding to radio sounding balloons

TL;DR: In this article, the authors investigated the accuracy of the direction-finding technique used for the observation of bearings on the signals from radio sounding balloons during actual flight and showed that 95% of the bearings are correct to within 2° and nearly 80% correct to to within 1°; the probable error of such mean observed bearings, after correction for the ground calibration, is about 0°3.