Hybrid Approach to Passive Ranging with Two Infrared Non-Imaging Sensors

Mitrović, Srđan T.; Dikić, Goran; Đurović, Željko

doi:10.21608/asat.2011.23239

Cited by 1 publication

(4 citation statements)

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“…The radiation intensity

ϕ

in Equation () of the target emission is difficult to accurately estimate due to the scattering and absorption of atmospheric transmission. Existing studies address this problem by taking the irradiance ratio as the equivalent intensity measurement 14‐16 . Here we further derive the Taylor expansion of the irradiance ratio around

ξ_{k, 1} = ξ_{k, 2} = 0

to eliminate the radiation intensity, that is,

\begin{align} z_{k}^{normalI} = \frac{W_{k, 2}}{W_{k, 1}} = \frac{ϕ false/ d_{k, 2}^{2} \exp false(prefix- σ_{k} d_{k, 2} false) + c ξ_{k, 2}}{ϕ false/ d_{k, 1}^{2} \exp false(prefix- σ_{k} d_{k, 1} false) + c ξ_{k, 1}} = g false({bold-italicx}_{k}, σ_{k} false) + ξ_{k}, \end{align}

with

\begin{align} d_{k, 1} = {false(x_{k}^{2} + y_{k}^{2} + z_{k}^{2} false)}^{1 false/ 2}, d_{k, 2} = {false(x_{k}^{2} + {false(y_{k} prefix- b false)}^{2} + z_{k}^{2} false)}^{1 false/ 2}, \end{align}

...…”

Section: Problem Formulationmentioning

confidence: 99%

“…Existing studies address this problem by taking the irradiance ratio as the equivalent intensity measurement. [14][15][16] Here we further derive the Taylor expansion of the irradiance ratio around k,1 = k,2 = 0 to eliminate the radiation intensity, that is,…”

Section: The Novel Intensity Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…By the fact that the received IR intensity is a function of the target range and hence helpful for extracting target position information, the augmented EKF (AEKF) is presented as the intensity-enhanced dual-station tracking scheme. [14][15][16] The introduction of intensity information is promising as shown by computer simulations. However, this intensity model contains one unknown key parameter: extinction coefficient (EC), which depicts signal attenuation in complex environment.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Expectation‐maximization‐based infrared target tracking with time‐varying extinction coefficient identification

Liu

Liang

et al. 2020

Adaptive Control & Signal

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Summary Extinction coefficient (EC), as the key parameter of target intensity model, is assumed constant in classical infrared target tracking (IRTT) methods. However, it is a time‐varying and state‐coupled parameter related to complex atmosphere environment. To this end, this article proposes the problem of IRTT with time‐varying EC identification. Different from the constant EC case whose solution is the measurement augmentation, the time‐varying EC case brings out the new challenge: deep coupling between state estimation and parameter identification. In the expectation‐maximization framework, this article derives the joint identification and estimation optimization scheme, where the Taylor expansion variance error of intensity model is also identified to adaptively compensate the nonlinear approximation. Simulation examples show that the proposed scheme has better estimation accuracy than the existing augmented extended Kalman filter.

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“…The radiation intensity