Electrical Impedance Tomography Using the Extended Kalman Filter

2004 ◽  
Vol 51 (1) ◽  
pp. 72-81 ◽  
Author(s):  
F.C. Trigo ◽  
R. Gonzalez-Lima ◽  
M.B.P. Amato
Keyword(s):  
Kalman Filter ◽  
Electrical Impedance Tomography ◽  
Extended Kalman Filter ◽  
Electrical Impedance ◽  
Impedance Tomography

Nonstationary phase boundary estimation in electrical impedance tomography using unscented Kalman filter

2008 ◽  
Vol 227 (15) ◽  
pp. 7089-7112 ◽  
Author(s):  
Umer Zeeshan Ijaz ◽  
Anil Kumar Khambampati ◽  
Jeong Seong Lee ◽  
Sin Kim ◽  
Kyung Youn Kim
Keyword(s):  
Kalman Filter ◽  
Phase Boundary ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Unscented Kalman Filter ◽  
Impedance Tomography ◽  
Boundary Estimation

Unscented Kalman filter approach to tracking a moving interfacial boundary in sedimentation processes using three-dimensional electrical impedance tomography

2009 ◽  
Vol 367 (1900) ◽  
pp. 3095-3120 ◽  
Author(s):  
Anil Kumar Khambampati ◽  
Ahmar Rashid ◽  
Umer Zeeshan Ijaz ◽  
Sin Kim ◽  
Manuchehr Soleimani ◽  
...  
Keyword(s):  
Kalman Filter ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Unscented Kalman Filter ◽  
Phase Interface ◽  
Three Dimensional ◽  
Measurement Model ◽  
Impedance Tomography ◽  
Filter Approach ◽  
Sedimentation Processes

The monitoring of solid–fluid suspensions under the influence of gravity is widely used in industrial processes. By considering sedimentation layers with different electrical properties, non-invasive methods such as electrical impedance tomography (EIT) can be used to estimate the settling curves and velocities. In recent EIT studies, the problem of estimating the locations of phase interfaces and phase conductivities has been treated as a nonlinear state estimation problem and the extended Kalman filter (EKF) has been successfully applied. However, the EKF is based on a Gaussian assumption and requires a linearized measurement model. The linearization (or derivation of the Jacobian) is possible when there are no discontinuities in the system. Furthermore, having a complex phase interface representation makes derivation of the Jacobian a tedious task. Therefore, in this paper, we explore the unscented Kalman filter (UKF) as an alternative approach for estimating phase interfaces and conductivities in sedimentation processes. The UKF uses a nonlinear measurement model and is therefore more accurate. In order to justify the proposed approach, extensive numerical experiments have been performed and a comparative analysis with the EKF is provided.

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