Article
Engineering, Electrical & Electronic
Antonio Alberto D'Amico, Michele Morelli, Marco Moretti
Summary: This study investigates the estimation of sinusoidal frequency in the presence of white Gaussian noise, focusing on DFT interpolation methods and optimization. Evaluating the CRB and maximum likelihood DFT interpolator helps assess the accuracy and applicability of the methods. This is important for improving estimation accuracy and reducing computational burden.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2022)
Article
Automation & Control Systems
Clement Chahbazian, Karim Dahia, Nicolas Merlinge, Benedicte Winter-Bonnet, Aurelien Blanc, Christian Musso
Summary: The paper derives a recursive formula of the Fisher information matrix on Lie groups and applies it to nonlinear Gaussian systems on Lie groups for testing. The proposed recursive CRLB is consistent with state-of-the-art filters and exhibits representative behavior in estimation errors. This paper provides a simple method to recursively compute the minimal variance of an estimator on matrix Lie groups, which is fundamental for implementing robust algorithms.
Article
Environmental Sciences
Zihuan Mao, Shengheng Liu, Si Qin, Yongming Huang
Summary: FDA can produce a beampattern with controllable direction and range by slightly adjusting carrier frequencies, and it shows good performance in joint/separate angle-range estimation. The relationship between Cramer-Rao bounds (CRB) and coprime FDA parameters is not simply monotonic, and coprime FDA outperforms uniform FDA-MIMO by more than 60% under commonly-adopted coprime patterns.
Article
Optics
Hailong Wang, Zehua Chen, Zhongxing Hiu, Yunpeng Shi, Xiong Zhang, Chunliu Zhao, Shangzhong Jin, Jietai Jing
Summary: In this study, the estimation precision of gain in phase-insensitive amplifiers (PIAs) is theoretically investigated using different scenarios, including vacuum two-mode squeezed state (TMSS), coherent state, and bright TMSS. The research shows that placing the PIA in the auxiliary light beam path is the most robust scheme under noise effects, while using a fictitious beam splitter before the original PIA in the probe light beam path is the most robust against propagation loss and imperfect detection. Optimal intensity difference measurement is confirmed to be an accessible experimental technique for saturating the estimation precision of the bright TMSS. This study opens a new avenue for quantum metrology based on PIAs.
Article
Engineering, Multidisciplinary
Tarek A. El-Rahman, Amgad A. Salama, Walid M. Saad, Mohamed H. El-Shafey
Summary: This paper introduces a novel nested arc array to generate a virtual non-uniform circular array and utilizes higher-order statistics (FOC) to increase the array aperture. The proposed array, consisting of physical and virtual sensors, allows for over-and under-determined DOA estimation. The performance of the array is superior to that of a uniform one and is suitable for 2D DOA estimation problems.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Engineering, Electrical & Electronic
Yibao Liang, Wei Cui, Qing Shen, Wei Liu, Hantian Wu
Summary: The Cramer-Rao bound for direction of arrival estimation using multiple frequency pairs provides a tighter bound than the existing dual-frequency scenario, leading to improved estimation accuracy and target resolvability.
IEEE SIGNAL PROCESSING LETTERS
(2021)
Article
Chemistry, Analytical
Chibuzo Joseph Nnonyelu, Meng Jiang, Jan Lundgren
Summary: This article introduces a biaxial velocity sensor consisting of two orthogonal particle velocity sensors and a collocated pressure sensor. The study analyzes the impact of skewness on the direction-finding performance and derives the hybrid Cramer-Rao bound for the directions-of-arrival in closed form, considering the stochastic loss of perpendicularity. The results show that the loss of perpendicularity affects the variation of the bound along the azimuth angle axis, independent of the skew angle.
Article
Engineering, Electrical & Electronic
Xi Li, Yi Liu, Le Yang
Summary: This paper introduces new alternative derivations for estimating the constrained Cramer-Rao bound of parameters subject to a set of deterministic and differentiable equality constraints. By treating equality constraints as pseudo-measurements corrupted by independent Gaussian noise, the desired bound can be established by utilizing the additive property of Fisher information matrices for independent measurements. It also provides a simple approach to deriving the constrained Cramer-Rao bound with specified bias in parameter estimates by exploring the null space of the gradient matrix of constraints and invoking the Cauchy-Schwarz inequality.
ELECTRONICS LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Jialin Jiang, Ji Xiong, Yuyao Wang, Pan Wang, Jialei Zhang, Yongxin Liang, Jianhui Sun, Zinan Wang
Summary: This paper investigates the relationship between the noise lower-bound (NLB) and the minimal detectable strain in a COTDR system with coherent detection, proposes the CRLB, discusses the method to achieve this lower bound, and demonstrates good consistency between experimental results and theoretical analysis.
JOURNAL OF LIGHTWAVE TECHNOLOGY
(2022)
Article
Engineering, Electrical & Electronic
Maya Veisman, Yair Noam, Sharon Gannot
Summary: This paper addresses tracking a moving source equipped with both receivers and a source, formulating it as a hybrid estimation problem and deriving the extended Kalman filter (EKF). The algorithm's performance is evaluated through simulations, showing the EKF approaching the hybrid Cramer-Rao bound (HCRB) as the number of observations increases. This implies the EKF is an optimal estimator under certain conditions.
EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING
(2021)
Article
Engineering, Electrical & Electronic
Michael Fauss, Alex Dytso, H. Vincent Poor
Summary: Both the classic and Bayesian Cramer-Rao bounds can be obtained by minimizing the mean square error of an estimator while constraining the underlying distribution to be within a Fisher information ball. The results allow for nonstandard interpretations of the Cramer-Rao bound and provide a template for novel bounds on the accuracy of estimators.
Article
Chemistry, Multidisciplinary
Minglong Cheng, Guoqing Jia, Weidong Fang, Huiyue Yi, Wuxiong Zhang
Summary: This paper proposes an improved Rife frequency estimation algorithm based on phase angle interpolation, which improves the accuracy and stability of frequency estimation by changing the frequency deviation factor and setting the frequency shift threshold.
APPLIED SCIENCES-BASEL
(2022)
Article
Telecommunications
Qi Cheng, Mosin (Andre) Russell
Summary: This paper develops a hybrid Cramer-Rao bound (HCRB) for estimating carrier frequency offset (CFO) and sampling frequency offset (SFO), and presents necessary identifiability conditions for deterministic parameters. The HCRB is used to assess the performance of existing methods, demonstrating the need for further improvement to achieve higher accuracy.
WIRELESS PERSONAL COMMUNICATIONS
(2023)
Article
Engineering, Aerospace
Jianyu Su, Haiyan Fang, Weimin Bao, Haifeng Sun, Liang Zhao
Summary: The paper deduces the Crame r-Rao Lower Bound (CRLB) for estimating pulsar rotation parameters using X-ray pulsar observation data and presents the calculation equation. To verify the correctness of the deduced equation, X-ray pulsar observation data is used to estimate pulsar rotation parameters, and the root mean square error (RMSE) of the estimated parameters is obtained through repeated experiments. The experimental results show that the RMSE approaches the estimated CRLB as the observation time increases, with the error between the RMSE and the CRLB staying at 10-11 order of magnitude when the observation time is 2.4 x 106 s. This confirms that the deduced CRLB is the theoretical lower bound for estimating pulsar rotation parameters. The deduced CRLB in this paper helps determine the minimum variance estimator for pulsar rotation parameter estimation, providing a benchmark for comparisons with other estimators.
ADVANCES IN SPACE RESEARCH
(2023)
Article
Computer Science, Information Systems
Benjamin Siebler, Stephan Sand, Uwe D. Hanebeck
Summary: In this paper, the achievable position accuracy of magnetic localization is analyzed using Bayesian Cramer-Rao lower bounds, and deterministic inputs are accounted for. A Gaussian process is used to approximate the true analytical model based on training data. The results show that magnetic localization has a high potential accuracy.
