Redundant-Weighted Integration Method for FDG Parametric Image Creation Using Linear Least Square Estimation

TDOA is a predominant localization algorithm. In this paper, we propose a TDOA localization algorithm called NLLS, using the nonlinear least square estimation. We first get the initial location utilizing the LCLS algorithm, which could achieve the global optimal solution to the ordinary constraint linear least square estimation, and based on the initial location, we make use of nonlinear least square estimation to improve the localization precision. Simulation results show that compared with the CTLS algorithm, its performance is superior especially when the measurement noise is larger.

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Sequential non-linear least-square estimation for damage identification of structures

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2005.06.006 ◽

2006 ◽

Vol 41 (1) ◽

pp. 124-140 ◽

Cited By ~ 53

Author(s):

Jann N. Yang ◽

Hongwei Huang ◽

Silian Lin

Keyword(s):

Damage Identification ◽

Least Square ◽

Least Square Estimation ◽

Non Linear ◽

Linear Least Square

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GPS-DERIVED SECULAR VELOCITY FIELD AROUND SANGIHE ISLAND AND ITS IMPLICATION TO THE MOLUCCA SEA SEISMICITY

GEOMATIKA ◽

10.24895/jig.2020.26-2.1199 ◽

2020 ◽

Vol 26 (2) ◽

pp. 107

Author(s):

Leni Sophia Heliani ◽

Cecep Pratama ◽

Parseno Parseno ◽

Nurrohmat Widjajanti ◽

Dwi Lestari

Keyword(s):

Surface Displacement ◽

Active Regions ◽

Least Square ◽

The Other ◽

Gps Data ◽

West Side ◽

Active Deformation ◽

Secular Motion ◽

Small Change ◽

Linear Least Square

Sangihe-Moluccas region is the most active seismicity in Indonesia. Between 2015 to 2018 there is four M6 class earthquake occurred close to the Sangihe-Moluccas region. These seismic active regions representing active deformation which is recorded on installed GPS for both campaign and continuous station. However, the origin of those frequent earthquakes has not been well understood especially related to GPS-derived secular motion. Therefore, we intend to estimate the secular motion inside and around Sangihe island. On the other hand, we also evaluate the effect of seismicity on GPS sites. Since our GPS data were conducted on yearly basis, we used an empirical global model of surface displacement due to coseismic activity. We calculate the offset that may be contained in the GPS site during its period. We remove the offset and estimate again the secular motion using linear least square. Hence, in comparison with the secular motion without considering the seismicity, we observe small change but systematically shifting the motion. We concluded the seismicity in the Molucca sea from 2015 to 2018 systematically change the secular motion around Sangihe Island at the sub-mm level. Finally, we obtained the secular motion toward each other between the east and west side within 1 to 5.5 cm/year displacement.

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A sequential linear least square algorithm for tracking dynamic shapes of smart structures

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1627 ◽

2006 ◽

Vol 67 (1) ◽

pp. 66-88 ◽

Cited By ~ 6

Author(s):

Quantian Luo ◽

Liyong Tong

Keyword(s):

Smart Structures ◽

Least Square ◽

Linear Least Square

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An Indoor Visible Light Positioning System Using Tilted LEDs with High Accuracy

Sensors ◽

10.3390/s21030920 ◽

2021 ◽

Vol 21 (3) ◽

pp. 920

Author(s):

Neha Chaudhary ◽

Othman Isam Younus ◽

Luis Nero Alves ◽

Zabih Ghassemlooy ◽

Stanislav Zvanovec ◽

...

Keyword(s):

Visible Light ◽

Polynomial Regression ◽

Power Level ◽

Least Square ◽

Line Of Sight ◽

Received Power ◽

Strength Based ◽

Complex Linear ◽

Linear Least Square ◽

First Time

The accuracy of the received signal strength-based visible light positioning (VLP) system in indoor applications is constrained by the tilt angles of transmitters (Txs) and receivers as well as multipath reflections. In this paper, for the first time, we show that tilting the Tx can be beneficial in VLP systems considering both line of sight (LoS) and non-line of sight transmission paths. With the Txs oriented towards the center of the receiving plane (i.e., the pointing center F), the received power level is maximized due to the LoS components on F. We also show that the proposed scheme offers a significant accuracy improvement of up to ~66% compared with a typical non-tilted Tx VLP at a dedicated location within a room using a low complex linear least square algorithm with polynomial regression. The effect of tilting the Tx on the lighting uniformity is also investigated and results proved that the uniformity achieved complies with the European Standard EN 12464-1. Furthermore, we show that the accuracy of VLP can be further enhanced with a minimum positioning error of 8 mm by changing the height of F.

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