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Communications by Vector Manifolds

  • Guennadi Kouzaev
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 27)

Abstract

The topological structure of the electromagnetic fields of signals is studied. It is shown that the topology of field-force line maps is a natural carrier of digital information. In this paper, a new type of topologically modulated signals is proposed. They are impulses the vectorial content of which varies with the time and spatial coordinates. Impulses can have topologically different spatiotemporal shapes of fields described by a combination of 3-D vector manifolds, and they carry logical information by this spatiotemporal content. The noise immunity of these signals is estimated, and hardware design principles are proposed based on the geometrical interpretation of the energy conservation law. The derived results are interesting for communications through dispersive and noisy media and for advanced computing.

Keywords

Phase Space Noise Immunity Ricci Flow Topological Description Topological Modulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Guennadi Kouzaev
    • 1
  1. 1.Department of Electronics and TelecommunicationsNorwegian University of Science and TechnologyTrondheimNorway

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