2017
DOI: 10.1109/tsp.2017.2701330
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Relating Random Vector and Random Finite Set Estimation in Navigation, Mapping, and Tracking

Abstract: Navigation, mapping, and tracking are state estimation problems relevant to a wide range of applications. These problems have traditionally been formulated using random vectors in stochastic filtering, smoothing, or optimization-based approaches. Alternatively, the problems can be formulated using random finite sets, which offer a more robust solution in poor detection conditions (i.e., low probabilities of detection, and high clutter intensity). This paper mathematically shows that the two estimation framewor… Show more

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Cited by 14 publications
(9 citation statements)
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“…The last but not least, power fluctuation causes clutters to enter among leaders. On the one hand, random finite set (RFS) concept skips performing the data association (DA) algorithm before the state estimation phase, which is mandatory in random vector (RV) concept [11]. On the other hand, potential variety in the cardinality of a set can deal with alternative characteristics of extracted data.…”
Section: Justification Of a Random Finite Setmentioning
confidence: 99%
“…The last but not least, power fluctuation causes clutters to enter among leaders. On the one hand, random finite set (RFS) concept skips performing the data association (DA) algorithm before the state estimation phase, which is mandatory in random vector (RV) concept [11]. On the other hand, potential variety in the cardinality of a set can deal with alternative characteristics of extracted data.…”
Section: Justification Of a Random Finite Setmentioning
confidence: 99%
“…We note that there are also some other attempts at extending the conventional PF based on random set representation of the state and observation, which is different from that of Mahler’s formulation, such as [ 140 , 141 ]. Connection or re-derivation of traditional M2T association approaches based on a random finite set can be found in [ 142 , 143 ].…”
Section: Multitarget Pfmentioning
confidence: 99%
“…False alarms, misdetections and data association uncertainty are the main challenges in multi-object tracking systems. The random finite set (RFS) [8], [9] is a popular multi-target estimation paradigm with applications in cell biology [10]- [12], traffic monitoring [13]- [16], field robotics [17]- [19], computer vision [11], [20]- [22], sonar [23], sensor network and distributed estimation [24]- [29], simultaneous localization and mapping [30]- [33], etc.…”
Section: Introductionmentioning
confidence: 99%