A Systematic Comparison of Near-Field Beamforming and Fourier-Based Backward-Wave Holographic Imaging

In this paper we show the equivalence of near-field beamforming and backward-wave reconstruction algorithm. The proof is carried out analytically with two different approaches, using the principle of stationary phase from a signal processing point of view and the angular spectrum representation as a...

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Bibliographic Details
Published inIEEE Open Journal of Antennas and Propagation Vol. 2; pp. 921 - 931
Main Authors Paul, Sebastian, Schwartau, Fabian, Krueckemeier, Markus, Caspary, Reinhard, Monka-Ewe, Carsten, Schoebel, Joerg, Kowalsky, Wolfgang
Format Journal Article
LanguageEnglish
Published IEEE 2021
Subjects
Apertures
Array signal processing
backward-wave reconstruction
Convolution
Fourier transforms
Image reconstruction
Near-field beamforming
Radar imaging
Signal processing algorithms
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Summary:In this paper we show the equivalence of near-field beamforming and backward-wave reconstruction algorithm. The proof is carried out analytically with two different approaches, using the principle of stationary phase from a signal processing point of view and the angular spectrum representation as an electromagnetic point of view. A comparison of the time complexity of the near-field beamforming and backward-wave reconstruction algorithm is given. A detailed discussion of the constraints required for a digital implementation is presented, leading to limitations for the chosen system parameters, especially for the backward-wave reconstruction approach. An exemplarily scenario is simulated and processed, confirming the found equivalence between the two very different approaches of image reconstruction. An additional measurement with a 120 GHz radar showcases the capabilities of both algorithms and validates our findings.
ISSN:2637-6431
2637-6431
DOI:10.1109/OJAP.2021.3107444