Methodology for Calculating the Energy Efficiency of Communication and Broadcasting Systems with Noise-Immune Block Coding and Multi-Position Modulation

Abstract

The paper presents a calculation method and analytical relationships for determining the efficiency of using error-correcting channel coding in systems with a binary block code of Bose – Chaudhuri – Hocquenghem (BCH), M-position modulation and decoding using the Viterbi algorithm with a soft decision (SOVA). A generalized decoding efficiency indicator was used, which took into account the code parameters, modulation format and decoder operating mode. In comparison with the known method, the proposed method does not require knowledge of the weight components of the code spectrum and the use of computer modeling procedures in calculations. The obtained analytical relationships are presented in a compact form and general for research. They are used to calculate the error immunity, energy gain from coding, the correcting ability of the decoder and the information efficiency of communication channels with variations in code parameters and error probabilities at the decoder output.