48 research outputs found

    Shooting two birds with two bullets: how to find Minimum Mean OSPA estimates

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    Most area-defense formulations follow from the assumption that threats must first be identified and then neutralized. This is reasonable, but inherent to it is a process of labeling: threat A must be identified and then threat B, and then action must be taken. This manuscript begins from the assumption that such labeling (A & B) is irrelevant. The problem naturally devolves to one of Random Finite Set (RFS) estimation: we show that by eschewing any concern of target label we relax the estimation procedure, and it is perhaps not surprising that by such a removal of constraint (of labeling) performance (in terms of localization) is enhanced. A suitable measure for the estimation of unlabeled objects is the Mean OSPA (MOSPA). We derive a general algorithm which provided the optimal estimator which minimize the MOSPA. We call such an estimator a Minimum MOSPA (MMOSPA) estimator

    Efficient characterization of labeling uncertainty in closely-spaced targets tracking

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    In this paper we propose a novel solution to the labeled multi-target tracking problem. The method presented is specially effective in scenarios where the targets have once moved in close proximity. When this is the case, disregarding the labeling uncertainty present in a solution (after the targets split) may lead to a wrong decision by the end user. We take a closer look at the main cause of the labeling problem. By modeling the possible crosses between the targets, we define some relevant labeled point estimates. We extend the concept of crossing objects, which is obvious in one dimension, to scenarios where the objects move in multiple dimensions. Moreover, we provide a measure of uncertainty associated to the proposed solution to tackle the labeling problem. We develop a novel, scalable and modular framework in line with it. The proposed method is applied and analyzed on the basis of one-dimensional objects and two-dimensional objects simulation experiments

    Marginal multi-Bernoulli filters: RFS derivation of MHT, JIPDA and association-based MeMBer

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    Recent developments in random finite sets (RFSs) have yielded a variety of tracking methods that avoid data association. This paper derives a form of the full Bayes RFS filter and observes that data association is implicitly present, in a data structure similar to MHT. Subsequently, algorithms are obtained by approximating the distribution of associations. Two algorithms result: one nearly identical to JIPDA, and another related to the MeMBer filter. Both improve performance in challenging environments.Comment: Journal version at http://ieeexplore.ieee.org/document/7272821. Matlab code of simple implementation included with ancillary file

    ΠœΠ΅Ρ‚ΠΎΠ΄ ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ Π΄Π°Π½Π½Ρ‹Ρ… Π² комплСксС ΠΏΡ€ΠΈΠ±Ρ€Π΅ΠΆΠ½Ρ‹Ρ… Π Π›Π‘ срСднСй Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ

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    The article presents the basic principles of design and development of integrated middle range Coastal Surveillance System (CSS) used for water surface lookout. It provides solutions for such missions as command and control of maritime forces, border monitoring and control, prevention of illegal activities such as piracy, smuggling, illegal immigration, illegal fishing, supporting search and rescue (SAR) operations, and creates a common situation awareness picture of the Naval Theatre. The system structure diagram is designed to solve computational overload problem when processing large volume of data received from radar stations. The measurement-level fusion algorithm is developed based on the JPDA framework, in which radar data received from a single or group of radars and AIS data is aggregated in a processing center. The servers and workstations make use of local area network (LAN), using standard Gigabit Ethernet technologies for local network communications. Acquisition, analysis, storage and distribution of target data is executed in servers, then the data is sent to automated operator stations (console), where functional operations for managing, identifying and displaying of target on digital situational map are performed.ΠŸΡ€Π΅Π΄ΡΡ‚Π°Π²Π»Π΅Π½Ρ‹ основныС ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΡ‹ проСктирования ΠΈ построСния ΠΈΠ½Ρ‚Π΅Π³Ρ€ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ систСмы ΠΏΡ€ΠΈΠ±Ρ€Π΅ΠΆΠ½Ρ‹Ρ… Π Π›Π‘ срСднСй Π΄Π°Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ для наблюдСния Π·Π° Π½Π°Π΄Π²ΠΎΠ΄Π½ΠΎΠΉ обстановкой Π² акваториях с интСнсивным Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΠ΅ΠΌ ΠΌΠ°Π»Ρ‹Ρ… судов. БистСма прСдоставляСт Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ для Ρ‚Π°ΠΊΠΈΡ… Ρ†Π΅Π»Π΅ΠΉ, ΠΊΠ°ΠΊ ΠΊΠΎΠΌΠ°Π½Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΈ ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»ΡŒ Π½Π°Π΄ морскими силами, ΠΏΠΎΠ³Ρ€Π°Π½ΠΈΡ‡Π½Ρ‹ΠΉ ΠΌΠΎΠ½ΠΈΡ‚ΠΎΡ€ΠΈΠ½Π³ ΠΈ ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»ΡŒ, ΠΏΡ€Π΅Π΄ΠΎΡ‚Π²Ρ€Π°Ρ‰Π΅Π½ΠΈΠ΅ Π½Π΅Π·Π°ΠΊΠΎΠ½Π½ΠΎΠΉ Π΄Π΅ΡΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ (пиратства, ΠΊΠΎΠ½Ρ‚Ρ€Π°Π±Π°Π½Π΄Ρ‹, Π½Π΅Π·Π°ΠΊΠΎΠ½Π½ΠΎΠΉ ΠΈΠΌΠΌΠΈΠ³Ρ€Π°Ρ†ΠΈΠΈ, Π½Π΅Π·Π°ΠΊΠΎΠ½Π½ΠΎΠ³ΠΎ промысла), ΠΏΠΎΠ΄Π΄Π΅Ρ€ΠΆΠΊΠΈ ΠΎΠΏΠ΅Ρ€Π°Ρ†ΠΈΠΉ ΠΏΠΎ поиску ΠΈ спасСнию ΠΈ Ρ‚. Π΄. КомплСкс ΠΏΡ€ΠΈΠ±Ρ€Π΅ΠΆΠ½ΠΎΠ³ΠΎ наблюдСния Π΄ΠΎΠ»ΠΆΠ΅Π½ ΠΈΠ½Ρ‚Π΅Π³Ρ€ΠΈΡ€ΠΎΠ²Π°Ρ‚ΡŒ Π΄Π°Π½Π½Ρ‹Π΅ Π½Π΅ΡΠΊΠΎΠ»ΡŒΠΊΠΈΡ… Ρ€Π°Π΄Π°Ρ€ΠΎΠ² SCORE 3000 ΠΈ сообщСния ΠΎΡ‚ автоматичСской ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠΉ систСмы (АИБ) ΠΈ ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°Ρ‚ΡŒ ΠΊΠΎΡ€Ρ€Π΅Π»ΡΡ†ΠΈΡŽ Π΄Π°Π½Π½Ρ‹Ρ… этих систСм. Π Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½Π° структурная схСма систСмы, ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°ΡŽΡ‰Π°Ρ распрСдСлСниС Π²Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠΉ Π½Π°Π³Ρ€ΡƒΠ·ΠΊΠΈ ΠΏΡ€ΠΈ ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠ΅ большого объСма Π΄Π°Π½Π½Ρ‹Ρ…, ΠΏΠΎΡΡ‚ΡƒΠΏΠ°ΡŽΡ‰ΠΈΡ… ΠΎΡ‚ Π Π›Π‘. ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ Π½Π° основС структуры Joint Probabilistic Data Association (JPDA) для объСдинСния Ρ€Π°Π΄ΠΈΠΎΠ»ΠΎΠΊΠ°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… Π΄Π°Π½Π½Ρ‹Ρ… ΠΎΡ‚ ΠΎΠ΄Π½ΠΎΠΉ ΠΈΠ»ΠΈ Π½Π΅ΡΠΊΠΎΠ»ΡŒΠΊΠΈΡ… Π Π›Π‘ ΠΈ Π΄Π°Π½Π½Ρ‹Ρ… АИБ, ΠΏΠΎΡΡ‚ΡƒΠΏΠ°ΡŽΡ‰ΠΈΡ… Π² Ρ†Π΅Π½Ρ‚Ρ€ ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ. Π‘Π±ΠΎΡ€, Ρ…Ρ€Π°Π½Π΅Π½ΠΈΠ΅, Π°Π½Π°Π»ΠΈΠ· ΠΈ распрСдСлСниС Π΄Π°Π½Π½Ρ‹Ρ… ΠΎΡΡƒΡ‰Π΅ΡΡ‚Π²Π»ΡΡŽΡ‚ΡΡ Π½Π° ΠΊΠΎΠΌΠΏΡŒΡŽΡ‚Π΅Ρ€Π½ΠΎΠΌ сСрвСрС, Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΈ управлСния, ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΈ ΠΈ отобраТСния Ρ†Π΅Π»Π΅ΠΉ Π½Π° Ρ†ΠΈΡ„Ρ€ΠΎΠ²ΠΎΠΉ ΠΊΠ°Ρ€Ρ‚Π΅ Ρ€Π΅Π°Π»ΠΈΠ·ΡƒΡŽΡ‚ΡΡ Π½Π° Π°Π²Ρ‚ΠΎΠΌΠ°Ρ‚ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΌ Ρ€Π°Π±ΠΎΡ‡Π΅ΠΌ мСстС

    Aspects of MMOSPA Estimation

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    We expand upon existing literature regarding using Minimum Mean Optimal Sub-Pattern Assignment (MMOSPA) estimates in multitarget tracking, noting its advantages in comparison to Maximum Likelihood (ML) and Minimum Mean Squared Error (MMSE) estimation, and look at the practical computation of MMOSPA estimates. We demonstrate the use of MMOSPA estimation in a two-target tracking scenario as well as outside of tracking in a radar angular superresolution scenario
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