Quality of the Discrete-Message Transmission over the Communication Channel with Interference

Abstract

We consider the problem of the discrete-message transmission using the codes on the basis of the Shannon theorem, the Feinstein lemma, and the Hamming codes. In this case, the transmission quality is estimated using deterministic rather than random couplings among the messages and signals. It is shown that the coding redundancy, as well as the error-free transmission condition are not sufficient for realizing such a transmission. The signal-to-noise ratio is a more accurate parameter determining the transmission quality. The use of the Hamming code for long message sequences becomes efficient only if the threshold value of the signal-to-noise ratio is exceeded.