Correlation Characteristics and Application of Some Binary Codes
Keywords:
Ensembles, Phase-Shift Signals, Binary Codes, Autocorrelation Function, Side Peak Level, Correlation FunctionAbstract
Purpose: There has been reviewed technical literature and it has been shown that it is possible to increase efficiency of different
systems using updated binary codes and ensembles based on them. Among the known N elementary binary codes applied in communication, radar and control systems there are no such codes which allow achieving a relatively low level of side peaks of autocorrelation and crosscorrelation functions of code ensembles at changing N in wide limits. The purpose of the paper is to synthesize N elementary binary codes with the given levels R and W of side peaks of autocorrelation and cross-correlation functions. Method: A method of the problem solution consists of two steps. There has been stated a method of creation of W-ensembles with different correlation characteristics. Results: There have been envisaged some results of synthesis of codes with R = 3 for N ≤ 32 allowing to obtain various compression coefficients. There have been synthesized W-ensembles with different correlation characteristics containing from several units to hundreds of codes as well as alphabets for data transfer based on them. The obtained codes include many couples for which compensation of side peaks occurs when adding their correlation functions. There have been found symmetric and asymmetric codes with specific properties. Practical relevance: The improved binary codes can be applied in control, radar and communication systems. There has been put forward an idea of developing computers operating with noise-like signals (“quiet” computers) based on the standard coding systems ASCII using ensembles of synthesized codes. There has been proposed to carry out encryption using these codes. Social implications: Communication systems and data transmission based on noise-like signals will increase information security of users.