2018
DOI: 10.1155/2018/5763461
|View full text |Cite|
|
Sign up to set email alerts
|

Log-PF: Particle Filtering in Logarithm Domain

Abstract: This paper presents a particle filter, called Log-PF, based on particle weights represented on a logarithmic scale. In practical systems, particle weights may approach numbers close to zero which can cause numerical problems. Therefore, calculations using particle weights and probability densities in the logarithmic domain provide more accurate results. Additionally, calculations in logarithmic domain improve the computational efficiency for distributions containing exponentials or products of functions. To pr… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
6
0

Year Published

2018
2018
2021
2021

Publication Types

Select...
5
1

Relationship

1
5

Authors

Journals

citations
Cited by 7 publications
(6 citation statements)
references
References 17 publications
0
6
0
Order By: Relevance
“…With all building blocks been introduced, we can finally describe the overall DiPNet algorithm for an agent a u in Algorithm 1. For numerical stability, DiPNet is operated in logarithm domain with Jacobian algorithm as described in [56]. DiPNet only requests evaluating cross-correlation func-…”
Section: B Dipnet With Ofdm Waveformmentioning
confidence: 99%
“…With all building blocks been introduced, we can finally describe the overall DiPNet algorithm for an agent a u in Algorithm 1. For numerical stability, DiPNet is operated in logarithm domain with Jacobian algorithm as described in [56]. DiPNet only requests evaluating cross-correlation func-…”
Section: B Dipnet With Ofdm Waveformmentioning
confidence: 99%
“…So far, this model was printed and then placed on the bone, which is expensive and time consuming. In a new approach [ 29 ], a robotic arm is equipped with a depth camera to track a representation of the template in the depth image while using a particle filter [ 23 ], and a projector to display cutting outlines onto the bone ( Figure 2 ) during surgery. However, this new approach leads to the risk that the projection is off when the tracking is inaccurate.…”
Section: Methodsmentioning
confidence: 99%
“…We consider this detection mechanism, which is also investigated by Chow [ 22 ] in a more general setting, as a baseline in our evaluation. In this contribution, we investigate the challenge of how to equip a recent state-of-the-art particle filtering technology for object tracking, which is based on numerically stable representations of particle weights in the logarithmic domain [ 23 ], by efficient possibilities to equip the tracking result with a notion of reliability in the form of a reject option, which filters too large deviations of the tracked quantities from their true values. We investigate this, in particular, with respect to changing configuration settings of the particle filter.…”
Section: Introductionmentioning
confidence: 99%
“…The proposed filter is used to model the probability density of the state vector X k = [x k , y k , θ k ] T at step k by N p particles. According to [38]- [40] and assuming a first-order hidden Markov model, the posterior filtered density p x k |z 0:k is approximated by:…”
Section: ) Tum Teammentioning
confidence: 99%