Models of optimum multidimensional signals on the vector combinatorial configurations
DOI:
https://doi.org/10.20535/RADAP.2017.68.5-12Keywords:
Ideal Ring Bundl, ring vector sum, vector data, ”Glory to Ukraine Star” configuration, solid system of ring axes, multidimensional grid, optimum monolithic code, optimum vector information technologiesAbstract
New conceptual models for construction of optimum multidimensional discrete signals as binary monolithic code in which any allowed code word consists no more than one solid row of the same symbols in the ring topology sequence, named an ``Optimum Monolithic Ring'' code (OMR-code) are considered. All code combinations of an OMR-code enumerate the set of t-coordinates specified with respect to t-dimensional cyclic frame reference exactly R-times. The remarkable technical merits of ``Glory to Ukraine Star'' configuration, which properties hold for the same set of an OMR-code in varieties permutations of its terms is demonstrated, and method for design of two- or multidimensional vector signals coded based on the optimum binary monolithic code is presented. Proposed vector models of discrete signal optimization provide, essentially, a new approach to generalize them to great class of optimized problems in radio-telecommunications, navigation and information technology. Moreover, the optimization is embedded in the underlying combinatorial models. The favourable qualities of the Optimum Multidimensional Ring code provide breakthrough opportunities to apply them to numerous branches of science and advanced technology, with direct applications to vector data telecommunications, vector encoded design, and optimal vector information technology.Downloads
Published
2017-03-30
Issue
Section
Radio Circuits and Signals
License
Copyright (c) 2020 V. V. Riznyk
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).