Определение предела Шеннона с использованием особых свойств прикладной системы

Abstract

The aim of the paper is to preserve the fundamental nature of the Shannon limit and constraints in the mathematical theory of communication and to find a compromise solution for changing the boundary of the signal-to-noise ratio, at which the probability of errors is minimized, by using the special properties of the applied system, i.e., the modulator and demodulator. In this case, the "ideality" of the applied system according to the Shannon definition is preserved and supplemented by special properties obtained in our time, from the application of the Lyapunov characteristic function and the action of the stochastic resonance effect discovered at the end of the 20th century. Applied system one and applied system two are considered using the results of previous research and the special properties of the systems are identified. The applied systems are adapted to demodulators of signals with varying Lyapunov characteristic function. A new bound on the fundamental Shannon limit is computed. Taking into account the properties of the system, it is proposed to correct the Shannon limit to the value of −17.7 dB when transmitting messages with low error probability.