N.V. Zakharchenko, M.M. Hajiyev, T.M. Mansurov, A.A. Nazarenko, N.S. Salmanov.
Efficiency of transmission of discrete messages in a residue number system

The authors analyze the process of transmission of discrete messages in a residue number system, i.e., the efficiency of the representation of decimal numbers N_10  E1/105 in a residue number system for different values of the module, that is, P_1=3; P_2=5; P_3=7. It is noted that it is characteristic of modern information transmission systems that the information is contained in the information parameter at a fixed interval of the Nyquist element. The increase in the capacity is achieved by increasing the number of states of the information parameter in this interval, i.e., the number of different amplitudes, phases and frequencies of the carrier oscillation. In addition, using a residue number system when representing decimal numbers N_10  E1/105, the sum of the digits of individual numbers in most cases is less than 10 (except for the number N104) and an increase in the probability of not using moduli P_i Е 3; 5; 7 leads to an increase in the entropy of the corresponding events.

Keywords: Entropy, Residue number system, Timer signal construction, Discrete message, Information parameter, Nyquist element

DOI: https://www.doi.org/10.54381/icp.2021.2.10
Copyright © 1997- Institute of Control Systems of Azerbaijan National Academy of Sciences. e-Mail: [email protected]