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[电气工程与系统科学] 一种基于稀疏恢复的DOA估计算法 RIP约束 [推广有奖]

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kedemingshi 在职认证  发表于 2022-3-4 12:29:30 来自手机 |AI写论文

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摘要翻译:
非相关和相干混合源的波达方向(DOA)估计是阵列信号处理中长期存在的一个挑战。压缩感知在阵列信号处理中的应用开辟了一类激动人心的算法。研究了正交匹配追踪(OMP)在不同场景下的波达方向(DOA)估计中的应用,特别是在相干源和观测结果不一致的情况下。本文提出了一种改进的OMP算法,该算法利用最大方差准则,仅使用一个快照。该准则放宽了测量矩阵在获取信源时所施加的限制等距特性(RIP),从而降低了局部OMP算法输入向量的稀疏性。此外,它还处理来源,而不考虑其一致性。给出了递减稀疏性下弱-1 RIP的条件,并证明了该算法是如何比OMP算法获得更好的结果的。此外,本文还提出了一种计算均匀线阵源距参考点距离的简单方法。数值分析表明了该算法的有效性。
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英文标题:
《A Novel Sparse recovery based DOA estimation algorithm by relaxing the
  RIP constraint》
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作者:
Abhishek Aich and P. Palanisamy
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最新提交年份:
2018
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分类信息:

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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一级分类:Computer Science        计算机科学
二级分类:Information Theory        信息论
分类描述:Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料,并与H.1.1有交集。
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一级分类:Mathematics        数学
二级分类:Information Theory        信息论
分类描述:math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
--

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英文摘要:
  Direction of Arrival (DOA) estimation of mixed uncorrelated and coherent sources is a long existing challenge in array signal processing. Application of compressive sensing to array signal processing has opened up an exciting class of algorithms. The authors investigated the application of orthogonal matching pursuit (OMP) for direction of Arrival (DOA) estimation for different scenarios, especially to tackle the case of coherent sources and observed inconsistencies in the results. In this paper, a modified OMP algorithm is proposed to overcome these deficiencies by exploiting maximum variance based criterion using only one snapshot. This criterion relaxes the imposed restricted isometry property (RIP) on the measurement matrix to obtain the sources and hence, reduces the sparsity of the input vector to the local OMP algorithm. Moreover, it also tackles sources irrespective of their coherency. The condition for the weak-1 RIP on decreased sparsity is derived and it is shown that how the algorithm gives better result than the OMP algorithm. With an addition to this, a simple method is also presented to calculate source distance from the reference point in a uniform linear sensor array. Numerical analysis demonstrates the effectiveness of the proposed algorithm.
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PDF链接:
https://arxiv.org/pdf/1707.08117
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关键词:RIP Applications Experimental Optimization Application 准则 sources 稀疏 研究 proposed

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