Binomial Number System
نویسندگان
چکیده
This paper presents and first scientifically substantiates the generalized theory of binomial number systems (BNS) method their formation for reliable digital signal processing (DSP), transmission, data storage. The is obtained based on general positional (PNS) with conditions functions converting BNS a binary alphabet, also allowing to generate matrix BNS, linear-cyclic, multivalued systems. Generated by numbers possess error detection property. A characteristic property ability, basis, form various combinatorial configurations coefficients, e.g., compositions or constant-weight (CW) codes. construction generation are proposed. basic properties possible areas application researched, particularly numbering objects, indicated. CW code designed variable lengths. efficiently used develop devices has compressing information.
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ژورنال
عنوان ژورنال: Applied sciences
سال: 2021
ISSN: ['2076-3417']
DOI: https://doi.org/10.3390/app112311110