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.
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Kouzaev, G. (2009). Communications by Vector Manifolds. In: Mastorakis, N., Mladenov, V., Kontargyri, V. (eds) Proceedings of the European Computing Conference. Lecture Notes in Electrical Engineering, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-84814-3_57
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DOI: https://doi.org/10.1007/978-0-387-84814-3_57
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