Nyquist Sampling and Degrees of Freedom of Electromagnetic Fields Article Swipe

View

Related Concepts

Bandlimiting Nyquist–Shannon sampling theorem Sampling (signal processing) Coherent sampling Frequency domain Nyquist frequency Fourier transform Bandwidth (computing) Nonuniform sampling Degrees of freedom (physics and chemistry) Nyquist rate Mathematics Signal processing Algorithm Electromagnetic field Computer science Telecommunications Physics Mathematical analysis Radar Detector Quantum mechanics Quantization (signal processing)

Andrea Pizzo , Andrea de Jesus Torres , Luca Sanguinetti , Thomas L. Marzetta ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1109/tsp.2022.3183445 · OA: W3201058623

A signal space approach is presented to study the Nyquist sampling, number of\ndegrees of freedom and reconstruction of an electromagnetic field under\narbitrary scattering conditions. Conventional signal processing tools, such as\nthe multidimensional sampling theorem and Fourier theory, are used to provide a\nlinear system theoretic interpretation of electromagnetic wave propagation,\nthereby revealing the spatially bandlimited nature of electromagnetic fields.\nTheir spatial bandwidth is dictated by the selectivity of the underlying\nscattering that allows establishing the Nyquist spatial sampling with a\nreduction of the number of fields samples needed to be processed.\n