Application of Nonredundant Sampling Representations of Electromagnetic Fields to NF-FF Transformation TechniquesReport as inadecuate

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International Journal of Antennas and PropagationVolume 2012 2012, Article ID 319856, 14 pages

Review Article

Dipartimento di Ingegneria Biomedica, Elettronica e delle Telecomunicazioni, University of Naples Federico II, Via Claudio 21, 80125 Napoli, Italy

Dipartimento di Ingegneria Elettronica ed Ingegneria Informatica, University of Salerno, via Ponte Don Melillo, 84084 Fisciano, Italy

Received 31 August 2011; Accepted 23 December 2011

Academic Editor: Daniël Janse van Rensburg

Copyright © 2012 Ovidio M. Bucci and Claudio Gennarelli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An overview of the application of the band-limitation properties and nonredundant sampling representations of electromagnetic fields to NF-FF transformations is presented. The progresses achieved by applying them to data acquired on conventional NF scanning surfaces are discussed, outlining the remarkable reduction in the number of needed NF samples and measurement time. An optimal sampling interpolation expansion for reconstructing the probe response on a rotational scanning surface from a non-redundant number of its samples is also discussed. A unified theory of the NF-FF transformations with spiral scannings, which allow a remarkable reduction of the measurement time, is then reviewed by describing a sampling representation of the voltage on a quite arbitrary rotational surface from its nonredundant samples collected on a proper spiral wrapping it. Some numerical and experimental results assessing the effectiveness of the considered NF-FF transformations are shown too.

Author: Ovidio M. Bucci and Claudio Gennarelli



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