2020
DOI: 10.1109/access.2020.2968363
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Random Weighting-Based Nonlinear Gaussian Filtering

Abstract: The Gaussian filtering is a commonly used method for nonlinear system state estimation. However, this method requires both system process noise and measurement noise to be white noise sequences with known statistical characteristics. However, it is difficult to satisfy this condition in engineering practice, making the Gaussian filtering solution deviated or diverged. This paper adopts the random weighting concept to address the limitation of the nonlinear Gaussian filtering. It establishes the random weightin… Show more

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Cited by 19 publications
(8 citation statements)
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“…To mitigate noise, enhance image quality, and accentuate edge information, a Gaussian filter was applied to the leaf images to achieve image denoising ( Gao et al., 2020 ). The contrast between the denoised and original images is improved ( Figure 4 ).…”
Section: Methodsmentioning
confidence: 99%
“…To mitigate noise, enhance image quality, and accentuate edge information, a Gaussian filter was applied to the leaf images to achieve image denoising ( Gao et al., 2020 ). The contrast between the denoised and original images is improved ( Figure 4 ).…”
Section: Methodsmentioning
confidence: 99%
“…Noise reduction in images can be effectively achieved using this filtering method, which is widely used to smooth images and suppress noise. The Gaussian filter selects a template (neighborhood) for each target pixel, and each target pixel is replaced with the weighted average gray value of pixels in the neighborhood [21]. The convolution matrix of the Gaussian filter in the two-dimensional space of 𝑥, 𝑦 is shown below.…”
Section: Gaussian Filteringmentioning
confidence: 99%
“…Commonly used filtering methods include random filters and Kalman filters (KFs). The random filtering method is based on a two-step Bayesian process, that includes time or measurement updates [67]. The KF assumes uncertainty in the dynamics of the Gaussian distribution system and uses the mean and covariance of the state vector for update adjustments [68].…”
Section: Offline Identificationmentioning
confidence: 99%
“…Ref. [67] used the nonlinear cascade system stability theory to decompose the 3D linear tracking system model into a cascade of two horizontal systems (horizontal tracking and vertical plane linear tracking), and then select the appropriate altitude angle. The instructions are further broken down into cascade position tracking and altitude tracking systems.…”
Section: Reinforcement Learningmentioning
confidence: 99%