A CA-CFAR-Like Detector Using the Gerschgorin Circle Theorem for Bistatic Space Based Radar

Cai, Jia-nan; Hu, Shengbo; Jin, Yang; Mo, Jinrong; Yan, Tingting; Xia, Mingfei

doi:10.1109/taes.2021.3088905

Cited by 8 publications

(6 citation statements)

References 23 publications

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“…Definition 2(Gerschgorin theorem) : For a squared matrix A with

n \times n

dimension, its eigenvalues are located in the region of n Gerschgorin disks [29], that is:

\begin{equation}G(A) = \bigcup\limits_{i = 1}^n {{D_i}} ,\end{equation}

where

{D_i}

is a Gerschgorin disk which is defined on the complex plane as follows:

\begin{equation}{D_i}:\left| {\lambda - {a_{ii}}} \right| \le {R_i} = \sum_{j = 1\hfill\atop j \ne i\hfill}^n {\left| {{a_{ij}}} \right|} ,\end{equation}

where

{a_{ii}}

is a diagonal entry of A and determines the centre of

{D_i}

;

{a_{ij}}

is an off‐diagonal entry of A and

{R_i}

is the radius of

{D_i}

.…”

Section: Implementation and Convergence Analysis Of State‐based Poten...mentioning

confidence: 99%

See 1 more Smart Citation

Transient stability constrained distributed optimal dispatch for microgrids: A state‐based potential game approach

Yuan

Chen

Deng

et al. 2023

IET Renewable Power Gen

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The increasing proportion of renewable energy generation (REG) brings severe challenges to the optimal dispatch and stability control of microgrids. On the one hand, the dynamics of REG result in new stability problems. On the other hand, it is difficult to harmonize the benefits of distributed generators (DGs) since they often belong to different owners. To this end, this paper proposes a distributed optimal dispatching method using state‐based potential game theory, which considers both system stability and individual economy. First, an optimal dispatching model is constructed for microgrid containing various DGs. The transient stability constraint (TSC) of microgrid is given based on dissipation theory. Then, by treating each node as an agent, the optimization model is converted into a multi‐agent potential game with a state space. And a distributed algorithm is developed which is capable of handling coupled constraints. To implement the proposed method, updating rules are designed with respect to TSC based on Gerschgorin theorem, and the convergence of the algorithm are discussed. Simulation and experimental results show that the proposed method can maximize the benefits of each DG without the participation of control centre, while the ability of the microgrid to resist large disturbances is also guaranteed.

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“…Definition 2(Gerschgorin theorem) : For a squared matrix A with

n \times n

dimension, its eigenvalues are located in the region of n Gerschgorin disks [29], that is:

\begin{equation}G(A) = \bigcup\limits_{i = 1}^n {{D_i}} ,\end{equation}

where

{D_i}

is a Gerschgorin disk which is defined on the complex plane as follows:

\begin{equation}{D_i}:\left| {\lambda - {a_{ii}}} \right| \le {R_i} = \sum_{j = 1\hfill\atop j \ne i\hfill}^n {\left| {{a_{ij}}} \right|} ,\end{equation}

where

{a_{ii}}

is a diagonal entry of A and determines the centre of

{D_i}

;

{a_{ij}}

is an off‐diagonal entry of A and

{R_i}

is the radius of

{D_i}

.…”

Section: Implementation and Convergence Analysis Of State‐based Poten...mentioning

confidence: 99%

“…Accordingly, we need to make some simplifications of I (P ) based on Gerschgorin theorem. Definition 2(Gerschgorin theorem): For a squared matrix A with n × n dimension, its eigenvalues are located in the region of n Gerschgorin disks [29], that is:…”

Section: Action Updating Rules Designmentioning

confidence: 99%

Transient stability constrained distributed optimal dispatch for microgrids: A state‐based potential game approach

Yuan

Chen

Deng

et al. 2023

IET Renewable Power Gen

View full text Add to dashboard Cite

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“…In modern radars, target detection is usually carried out automatically. Generally, the average power level of clutter is variable and unknown, which requires a constant false alarm detection technology that can adjust the threshold adaptively according to the clutter environment [1]. The traditional mean level (ML) class CFAR and the ordered statistics CFAR (OS-CFAR) [2], as the most classical constant false alarm detectors, are often selected.…”

Section: Introductionmentioning

confidence: 99%

Multi-Strategy Constant False Alarm Rate Detector in Complex Backgrounds

Liu,

Li,

Liu

et al. 2024

Advances in Transdisciplinary Engineering

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A multi-strategy switching variability index CFAR (MSVI-CFAR) detector is proposed to further the capability of radar target constant false alarm detection in complex backgrounds. The detector can estimate the clutter background in the reference window. It adaptively selects the optimal detection strategy from the cell-averaging CFAR (CA-CFAR), greatest-of CFAR (GO-CFAR), switching CFAR (S-CFAR), and ordered statistic with cell averaging CFAR (OSCA-CFAR). The results indicate that MSVI-CFAR is beneficial to the detection of SVI-CFAR in the background of uniform background, clutter edge, and multi-target interference and has less CFAR loss and more robust anti-multi-target interference performance.

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“…[29]. The novel and simple cell averaging CFAR‐like detection method based on the Gerschgorin circle theorem for bistatic space based radar is developed to provide an important theoretical basis and new ideas for radar target detection [30]. A novel and exact formulation for the probability of detection of a cell‐averaging and CFAR radar system operating in a homogeneous clutter environment are presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

The improved constant false alarm rate detector based on multi‐frame integration for fluctuating target detection in heavy‐tailed clutter

Cao

Zhao

2023

IET Signal Processing

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In this paper, attention is devoted to the analysis of the detection threshold based on the multi-frame integration in heavy-tailed clutter for the radar with high resolution and even smaller grazing angle. The closed-form expressions of both the probability of the detection and the probability of false alarm for the heavy-tailed clutter background, which can be used for the theoretical analysis of constant false alarm rate (CFAR) detectors, are derived with the multi-frame integration technique. Accordingly, an improved CFAR detector is designed to work well with the presence of target-like outliers in the heavytailed clutter. In addition, the proposed CFAR detector is capable to alleviate the masking-effect resorting to the additive feedback operation when a target is large enough to cross several cells in multi-target case. The theoretical analysis and numerical simulations demonstrate that the proposed CFAR detector based on multi-frame integration can improve the signal-to-clutter rate of the targets exhibiting better performance than ones based on single frame in heavy-tailed clutter background. It is validated from the simulations that the proposed CFAR detector with additive feedback operation can deal with masking-effect for large target occupying several cells.

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A CA-CFAR-Like Detector Using the Gerschgorin Circle Theorem for Bistatic Space Based Radar

Cited by 8 publications

References 23 publications

Transient stability constrained distributed optimal dispatch for microgrids: A state‐based potential game approach

Transient stability constrained distributed optimal dispatch for microgrids: A state‐based potential game approach

Multi-Strategy Constant False Alarm Rate Detector in Complex Backgrounds

The improved constant false alarm rate detector based on multi‐frame integration for fluctuating target detection in heavy‐tailed clutter

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