Performance Evaluation of Magnetocardiography Sensor Arrays via Cramér–Rao Bound for Cardiac Source Localization

IF 5.9 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
Min Zhang;Yanmei Wang;Peilun Li;Yadan Zhang;Min Xiang
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引用次数: 0

Abstract

Magnetocardiography (MCG) source localization plays a key role in estimating cardiac electrical activity and identifying abnormal activity locations for disease diagnosis. To improve estimation accuracy in clinical applications, evaluating the performance of MCG sensor arrays is crucial for selecting optimal configurations. Such evaluations have traditionally been conducted through various metrics. However, these metrics depend on specific estimation algorithms and fail to directly reflect how the sensor array influences the variance of parameter estimation. Furthermore, the diversity of estimation algorithms hinders the establishment of uniform assessment criteria. To overcome these challenges, we present an evaluation method for MCG arrays focused on minimizing the variance in source parameter estimation. The method leverages the Cramér–Rao bound (CRB), a theoretical limit on the variance of unbiased estimators and independent of the employed algorithm. Aided by the boundary element method (BEM), we derive the CRB framework for estimating cardiac source parameters using MCG data and quantify the effect of adding sensors on the CRB. In addition, we utilize the CRB to evaluate the performance of MCG arrays measuring different magnetic field components, quantifying the advantages of 3-D vector field measurements for source estimation. Compared to conventional radial measurements, 3-D vector measurements reduce the equivalent uncertainty radius by more than 25.62%. Finally, we apply the approach to optimize sensor arrangements when the number of sensors is limited. Overall, our results show that the CRB effectively evaluates MCG arrays across diverse configurations, making it applicable to various clinical and engineering applications.
基于cram - rao界的心磁传感器阵列心脏源定位性能评价
心磁图(MCG)源定位在估计心电活动和识别异常活动位置以诊断疾病方面起着关键作用。为了提高临床应用中的估计精度,评估MCG传感器阵列的性能对于选择最佳配置至关重要。这种评估传统上是通过各种度量标准进行的。然而,这些指标依赖于特定的估计算法,不能直接反映传感器阵列对参数估计方差的影响。此外,估计算法的多样性也阻碍了统一评估标准的建立。为了克服这些挑战,我们提出了一种以最小化源参数估计方差为重点的MCG阵列评估方法。该方法利用cram - rao界(CRB),这是对无偏估计量方差的理论限制,与所采用的算法无关。在边界元法(BEM)的帮助下,我们推导了使用MCG数据估计心源参数的CRB框架,并量化了添加传感器对CRB的影响。此外,我们利用CRB评估了MCG阵列测量不同磁场分量的性能,量化了三维矢量场测量在源估计中的优势。与传统的径向测量相比,三维矢量测量的等效不确定半径减小了25.62%以上。最后,我们将该方法应用于传感器数量有限时的传感器布置优化。总的来说,我们的研究结果表明,CRB有效地评估了不同配置的MCG阵列,使其适用于各种临床和工程应用。
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来源期刊
IEEE Transactions on Instrumentation and Measurement
IEEE Transactions on Instrumentation and Measurement 工程技术-工程:电子与电气
CiteScore
9.00
自引率
23.20%
发文量
1294
审稿时长
3.9 months
期刊介绍: Papers are sought that address innovative solutions to the development and use of electrical and electronic instruments and equipment to measure, monitor and/or record physical phenomena for the purpose of advancing measurement science, methods, functionality and applications. The scope of these papers may encompass: (1) theory, methodology, and practice of measurement; (2) design, development and evaluation of instrumentation and measurement systems and components used in generating, acquiring, conditioning and processing signals; (3) analysis, representation, display, and preservation of the information obtained from a set of measurements; and (4) scientific and technical support to establishment and maintenance of technical standards in the field of Instrumentation and Measurement.
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