NDLI: Sliding window test vs. single time test for Track-to-Track Association

Content Provider	IEEE Xplore Digital Library
Author	Xin Tian Bar-Shalom, Y.
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Connecticut, Storrs, CT (Xin Tian; Bar-Shalom, Y.)
Abstract	Track-to-track association (T2TA) is very important in distributed tracking systems. When the fusion center receives multiple tracks from a local tracker, T2TA needs to be performed before track-to-track fusion (T2TF). The problem of T2TA, similar to measurement-to-track association, can be formulated and solved as an assignment problem, whose costs are based on the likelihood of assigning a local track to a central track, namely, the likelihood of the hypothesis $H_{0}:$ the two tracks originated from the same target. Thus the basic hypothesis test of whether two tracks are for the same target is very important for T2TA. Compared to the measurement-to-track association, T2TA has two features: i) The local track is correlated with the central track that has the same origin with it, due to the common process noise of the target. ii) Multiple frames of data are available from both the tracks. Thus, two issues are of concern for the T2TA test, namely, the derivation of the exact test statistic needs to take into account the crosscorrelation between the tracks; and how should multiple frames of data from the tracks be utilized. In this paper, the exact algorithm for calculating the test statistic for T2TA using multiple frames of data is derived. To keep the complexity of the algorithm under control, a limit is set for the number of the frames of data used in the test, which leads to a sliding window test for the problem of T2TA. By accounting for the cross-correlations between tracks for the same target and the cross-correlations across time of the terms entering into the test statistics, the proposed test for T2TA yields false rejections of $H_{0}$ that match the theoretical values. Then the sliding window test is compared with the single time test. It is shown that the intuitive belief ldquothe longer the window, the more the power of the testrdquo is not necessarily correct. Thus, caution should be used when using multiple frames of data from the tracks to improve the power of the test.
Starting Page	1
Ending Page	8
File Size	3793720
Page Count	8
File Format	PDF
ISBN	9783800730926
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-30
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	ISIF (Intl Society of Information Fusion)
Subject Keyword	Hypothesis test Tracking Track-to-track association Kalman filtering
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in