Nyquist Sampling and Degrees of Freedom of Electromagnetic Fields

被引：29

作者：

Pizzo, Andrea ^{[1
,2
]}

Torres, Andrea de Jesus ^{[1
]}

Sanguinetti, Luca ^{[1
]}

Marzetta, Thomas L. ^{[3
]}

机构：

[1] Univ Pisa, I-56122 Pisa, Italy

[2] Univ Pompeu Fabra, Barcelona 08018, Spain

[3] NYU, Brooklyn, NY 11201 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2022年 / 70卷

关键词：

Electromagnetics; Fourier transforms; Bandwidth; Three-dimensional displays; Large scale integration; Interpolation; Frequency-domain analysis; Multidimensional sampling theorem; Nyquist sampling; degrees of freedom; field reconstruction; sensing; Helmholtz equation; CHANNELS; NUMBER; LIMITS; MIMO;

D O I：

10.1109/TSP.2022.3183445

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A signal space approach is presented to study the Nyquist sampling, number of degrees of freedom and reconstruction of an electromagnetic field under arbitrary scattering conditions. Conventional signal processing tools, such as the multidimensional sampling theorem and Fourier theory, are used to provide a linear system theoretic interpretation of electromagnetic wave propagation, thereby revealing the spatially bandlimited nature of electromagnetic fields. Their spatial bandwidth is dictated by the selectivity of the underlying scattering that allows establishing the Nyquist spatial sampling with a reduction of the number of fields' samples needed to be processed.

引用

页码：3935 / 3947

页数：13

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