A Hybrid Lower Bound for Parameter Estimation of Signals With Multiple Change-Points

Bacharach, Lucien; Korso, Mohammed Nabil El; Renaux, Alexandre; Tourneret, Jean-Yves

doi:10.1109/tsp.2018.2890029

“…The hybrid WWLB (HWWLB) combines the WWLB for the random parameter with other bounds for the deterministic parameter, such as the BLB and CRLB [61,70]. In general, the hybrid bounds are not a simple concatenation of bounds for deterministic and random parameters, but a careful combination of them.…”

Section: ) Barankin Lower Bound Familymentioning

confidence: 99%

Fundamental Limitations and State-of-the-art Solutions for Target Node Localization in WSNs

Najarro¹,

Song²,

Kim³

2021

Preprint

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With the advances in new technological trends and the reduction in prices of sensor nodes, wireless sensor networks (WSNs) and their applications are proliferating in several areas of our society such as healthcare, industry, farming, and housing. Accordingly, in recent years attention on localization has increased significantly since it is one of the main facets in any WSN. In a nutshell, localization is the process in which the position of any sensor node is retrieved by exploiting measurements from and between sensor nodes. Several techniques of localization have been proposed in the literature with different localization accuracy, complexity, and hence different applicability. The localization accuracy is limited by fundamental limitations, theoretical and practical, that restrict the localization accuracy regardless of the technique employed in the localization process. In this paper, we pay special attention to such fundamental limitations from the theoretical and practical points of view and provide a comprehensive review of the state-of-the-art solutions that deal with such limitations. Additionally, discussion on the theoretical and practical limitations together with their recent solutions, remaining challenges, and perspectives are presented.

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“…The hybrid WWLB (HWWLB) combines the WWLB for the random parameter with other bounds for the deterministic parameter, such as the BLB and CRLB [61,70]. In general, the hybrid bounds are not a simple concatenation of bounds for deterministic and random parameters, but a careful combination of them.…”

Section: ) Barankin Lower Bound Familymentioning

confidence: 99%

Fundamental Limitations and State-of-the-art Solutions for Target Node Localization in WSNs

Najarro¹,

Song²,

Kim³

2021

Preprint

View full text Add to dashboard Cite

With the advances in new technological trends and the reduction in prices of sensor nodes, wireless sensor networks (WSNs) and their applications are proliferating in several areas of our society such as healthcare, industry, farming, and housing. Accordingly, in recent years attention on localization has increased significantly since it is one of the main facets in any WSN. In a nutshell, localization is the process in which the position of any sensor node is retrieved by exploiting measurements from and between sensor nodes. Several techniques of localization have been proposed in the literature with different localization accuracy, complexity, and hence different applicability. The localization accuracy is limited by fundamental limitations, theoretical and practical, that restrict the localization accuracy regardless of the technique employed in the localization process. In this paper, we pay special attention to such fundamental limitations from the theoretical and practical points of view and provide a comprehensive review of the state-of-the-art solutions that deal with such limitations. Additionally, discussion on the theoretical and practical limitations together with their recent solutions, remaining challenges, and perspectives are presented.

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“…the WWB) has been proposed in [16] where a general semi-closed-form expression focussing on change-points without specifying the distribution of the data, is given. This work has been extended by including the possibility of unknown additional parameters in [13]. Our aim is to adapt this semi-closed-form expression to the specific aforementioned SAR problem.…”

Section: Relation To Prior Workmentioning

confidence: 99%

“…In the context of change-point estimation, the right-hand side of the inequality at eq. (5) can be obtained by using the semi closed-form expression provided in [13]:…”

Section: Hybrid Bound For the Change-point Modelmentioning

confidence: 99%

See 1 more Smart Citation

Designing Sar Images Change-point Estimation Strategies Using an Mse Lower Bound

Mian

¹

,

Bacharach

²

,

Ginolhac

³

et al. 2019

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

0

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A growing problem in the remote sensing community concerns the estimation of change-points in a time series of Synthetic Aperture Radar (SAR) images. Although the methodologies of change-point estimation have already been investigated in the literature, there are, to the best of our knowledge, no study on the expected performance for the estimation of change-points in a Wishart distributed time series. This is mainly due to the fact that few results exist on change-point estimation performance in the mathematical literature: the classical central limit theorem does not apply and the classical Cramer-Rao Bound does not exist due to the discrete nature of the parameters. To fill this gap, this paper proposes to use a lower-bound on the Mean Square Error (MSE) with fewer regularity conditions. To this end, recent works on hybrid Cramer-Rao/Weiss-Weinstein bound have been adapted to the specific SAR problematic of interest. Since estimation strategies usually rely on a set of parameters which have to be set by the user, we show how the proposed lower bound allows performing an appropriate tuning. Moreover, the proposed bound is computationally efficient which enables an extensive analysis without a high computational cost.

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A Hybrid Lower Bound for Parameter Estimation of Signals With Multiple Change-Points

Cited by 5 publications

References 43 publications

Fundamental Limitations and State-of-the-art Solutions for Target Node Localization in WSNs

Fundamental Limitations and State-of-the-art Solutions for Target Node Localization in WSNs

Fundamental Limitations and State-of-the-art Solutions for Target Node Localization in WSNs

Designing Sar Images Change-point Estimation Strategies Using an Mse Lower Bound

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