Synthesis of the Information Channel with Codec Based on Code Signal Feature

Abstract

The work considers an information channel (IC), which consists of encoding devices, decoding devices and communication channel (CC). Two IC types are analysed: IC with transformations and generic IC, where both transformations and erasures are possible. To provide high level of the IC noise immunity, it is suggested to use cascade coding with an error-correction code on the first stage and code based on code signal feature (CSF) on the second stage of the encoding. The paper gives an overview of the CSF-based code, describes its properties, explains encoding principles and provides the structural schemas of encoding and decoding devices. The mathematical model for each IC type is created. Both models assume the influence of the random additive pulse noise with Poisson distribution of impulses and Gaussian distribution of impulse amplitudes. The noise influence analysis is performed. As a first step, the formulas to calculate CC statistics are deduced. As a second step, possible IC reception outcomes are identified based on several proved lemmas. Finally, the IC reception outcome probability formulas are obtained. The main idea behind the probability formula synthesis is a decomposition of the complex outcome events into a number of patterns, which are similar for all IC reception outcomes. The decomposition unifies the probability calculation approach and simplifies the resulting formulas.