Compressed Sensing for spherical near- to far-field transformation (CoSSTra)

用于球形近远场变换的压缩感知 (CoSSTra)

基本信息

项目摘要

Due to diverse and increasing demands for antennas regarding bandwidth (e.g. for ultra-wideband antennas), radiation properties (e.g. for reconfigurable antennas) and high operating frequencies (e.g. for radar systems in the automobile sector), the complexity of antennas as well as their measurement efforts has increased greatly in recent years. In order to save time, often only partial measurements with a small selection of frequencies and antenna configurations are carried out. Particularly in the near-field, the long measurement period is a strong limiting factor. The reason for this is the high number of measurement points that have to be acquired in order to determine the transmission characteristics of an antenna with satisfactory accuracy. However, if the radiation of the antenna is described in terms of spherical waves, it turns out that in practice the relevant information is mostly concentrated in a few spherical wave coefficient.The project aims to bring together methods of compressed sensing with the theory of spherical near- to far-field transformation to enable subsampled antenna measurements on the sphere with minimal loss of accuracy. To this end, different approaches for signal reconstruction are initially considered to integrate structural properties of the spherical mode spectrum in existing solutions. Methods are developed that, based on prior knowledge about the antenna characteristics, provide information about selecting an optimal basis and restrict the search space of optimal solutions. For a reliable reconstruction of the subsampled signal, it is also necessary to select the required number of measurement points appropriately. For this purpose, it is studied which antenna characteristics lead to sparse mode spectra. Another part of the project aims at identifying appropriate sampling strategies on the sphere, enabling a robust reconstruction of the spherical modes. In this context, the as yet unexplored influence of the polarization angle on the reconstruction behavior is determined. An important part of the project aims at the identification of measurement uncertainties when using the new methods, which are determined by extensive analysis. An interesting method in this context is the so-called Bayesian Compressed Sensing which allows for obtaining confidence intervals for the calculated solutions during reconstruction. In the final step, the explored approaches will be verified on the basis of extensive measurements of various types of antennas.The research results should answer the question how compressed sensing can be used in the context of spherical near- to far-field transformation for subsampling of antenna measurements.
由于天线在带宽(如超宽带天线)、辐射特性(如可重构天线)和高工作频率(如汽车领域的雷达系统)方面的需求多样化和不断增加,近年来天线的复杂性及其测量工作大大增加。为了节省时间,通常只进行少量频率和天线配置的部分测量。特别是在近场测量中,较长的测量周期是一个很强的限制因素。这样做的原因是必须获得大量的测量点,以便以令人满意的精度确定天线的传输特性。然而,如果用球面波来描述天线的辐射,在实际应用中,相关信息大多集中在几个球面波系数中。该项目旨在将压缩传感方法与球面近场到远场转换理论结合起来,使球面上的次采样天线测量具有最小的精度损失。为此,最初考虑了不同的信号重建方法,以整合现有解中球模谱的结构特性。该方法基于天线特性的先验知识,提供选择最优基的信息,并限制最优解的搜索空间。为了可靠地重建次采样信号,还需要适当地选择所需的测量点数量。为此,研究了导致稀疏模式频谱的天线特性。该项目的另一部分旨在确定球体上的适当采样策略,从而实现球体模式的鲁棒重建。在此背景下,确定了偏振角对重构行为的影响。该项目的一个重要部分是在使用新方法时识别测量不确定度,这些不确定度是通过广泛的分析确定的。在这种情况下,一个有趣的方法是所谓的贝叶斯压缩感知,它允许在重建过程中获得计算解的置信区间。在最后一步,探索的方法将在各种类型天线的广泛测量的基础上进行验证。研究结果应该回答如何在球面近场到远场变换的背景下使用压缩感知来进行天线测量的子采样的问题。

项目成果

期刊论文数量(5)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Fast Spherical Near-Field Measurements on Arbitrary Surfaces by Application of Pointwise Probe Correction to Compressed Sampling Schemes
通过将点式探头校正应用于压缩采样方案对任意表面进行快速球面近场测量
Radiation center estimation from near-field data using a direct and an iterative approach
使用直接和迭代方法根据近场数据估计辐射中心
Coherence Bounds for Sensing Matrices in Spherical Harmonics Expansion
球谐展开式中传感矩阵的相干界
Sparse recovery in Wigner-D basis expansion
Wigner-D 基地扩张中的稀疏恢复
Signal Recovery from Phaseless Measurements of Spherical Harmonics Expansion
从球面谐波展开的无相测量中恢复信号
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Professor Dr.-Ing. Dirk Heberling其他文献

Professor Dr.-Ing. Dirk Heberling的其他文献

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{{ truncateString('Professor Dr.-Ing. Dirk Heberling', 18)}}的其他基金

Generalized, field-corrected antenna measurements (GFAM)
通用场校正天线测量 (GFAM)
  • 批准号:
    406228537
  • 财政年份:
    2018
  • 资助金额:
    --
  • 项目类别:
    Research Grants
Sensing Strategies for Spherical Phaseless Antenna Measurements (S³PAM)
球形无相天线测量 (S·PAM) 的传感策略
  • 批准号:
    454773439
  • 财政年份:
  • 资助金额:
    --
  • 项目类别:
    Research Grants

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