摘要翻译:
本文旨在设计基于复合高斯(CG)过程的抗差估计技术,用于无线电干涉仪的校准。除此之外的动机是由于异常值的存在导致了一个不切实际的传统高斯噪声假设。因此,为了实现鲁棒性,我们采用了最大后验概率(MAP)方法,该方法利用贝叶斯统计并遵循顺序更新过程。将该算法应用于多频场景,以增强对扰动效应的估计和校正。数值仿真结果表明,该算法在不同的噪声模型、学生t、K、Laplace、Cauchy和逆高斯复合高斯分布下具有良好的性能。经典的非鲁棒高斯噪声假设。
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英文标题:
《Bayesian Calibration using Different Prior Distributions: an Iterative
Maximum A Posteriori Approach for Radio Interferometers》
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作者:
Virginie Ollier, Mohammed Nabil El Korso, Andr\'e Ferrari, R\'emy
Boyer, Pascal Larzabal
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最新提交年份:
2018
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分类信息:
一级分类:Statistics 统计学
二级分类:Applications 应用程序
分类描述:Biology, Education, Epidemiology, Engineering, Environmental Sciences, Medical, Physical Sciences, Quality Control, Social Sciences
生物学,教育学,流行病学,工程学,环境科学,医学,物理科学,质量控制,社会科学
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一级分类:Physics 物理学
二级分类:Instrumentation and Methods for Astrophysics 天体物理学仪器和方法
分类描述:Detector and telescope design, experiment proposals. Laboratory Astrophysics. Methods for data analysis, statistical methods. Software, database design
探测器和望远镜设计,实验建议。实验室天体物理学。资料分析方法,统计方法。软件,数据库设计
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一级分类:Electrical Engineering and Systems Science 电气工程与系统科学
二级分类:Signal Processing 信号处理
分类描述:Theory, algorithms, performance analysis and applications of signal and data analysis, including physical modeling, processing, detection and parameter estimation, learning, mining, retrieval, and information extraction. The term "signal" includes speech, audio, sonar, radar, geophysical, physiological, (bio-) medical, image, video, and multimodal natural and man-made signals, including communication signals and data. Topics of interest include: statistical signal processing, spectral estimation and system identification; filter design, adaptive filtering / stochastic learning; (compressive) sampling, sensing, and transform-domain methods including fast algorithms; signal processing for machine learning and machine learning for signal processing applications; in-network and graph signal processing; convex and nonconvex optimization methods for signal processing applications; radar, sonar, and sensor array beamforming and direction finding; communications signal processing; low power, multi-core and system-on-chip signal processing; sensing, communication, analysis and optimization for cyber-physical systems such as power grids and the Internet of Things.
信号和数据分析的理论、算法、性能分析和应用,包括物理建模、处理、检测和参数估计、学习、挖掘、检索和信息提取。“信号”一词包括语音、音频、声纳、雷达、地球物理、生理、(生物)医学、图像、视频和多模态自然和人为信号,包括通信信号和数据。感兴趣的主题包括:统计信号处理、谱估计和系统辨识;滤波器设计;自适应滤波/随机学习;(压缩)采样、传感和变换域方法,包括快速算法;用于机器学习的信号处理和用于信号处理应用的
机器学习;网络与图形信号处理;信号处理中的凸和非凸优化方法;雷达、声纳和传感器阵列波束形成和测向;通信信号处理;低功耗、多核、片上系统信号处理;信息物理系统的传感、通信、分析和优化,如电网和物联网。
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英文摘要:
In this paper, we aim to design robust estimation techniques based on the compound-Gaussian (CG) process and adapted for calibration of radio interferometers. The motivation beyond this is due to the presence of outliers leading to an unrealistic traditional Gaussian noise assumption. Consequently, to achieve robustness, we adopt a maximum a posteriori (MAP) approach which exploits Bayesian statistics and follows a sequential updating procedure here. The proposed algorithm is applied in a multi-frequency scenario in order to enhance the estimation and correction of perturbation effects. Numerical simulations assess the performance of the proposed algorithm for different noise models, Student's t, K, Laplace, Cauchy and inverse-Gaussian compound-Gaussian distributions w.r.t. the classical non-robust Gaussian noise assumption.
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PDF链接:
https://arxiv.org/pdf/1807.11382