Correlation Characteristics of Some Binary R-4 Codes and Ensembles of Signals on Their Basis
Purpose: Continuous increase in the efficiency of various control & communication systems is possible when using more advanced binary codes and signaling systems on their basis. Known N-element binary codes used in these systems do not allow us to obtain a sufficiently low level of the lateral peaks of the autocorrellation and mutual correlation functions of a set of codes when N varies over a wide range. The purpose of this work is studying the synthesis of N-element binary codes with given R and W levels of lateral peaks of the autocorrelation and mutual correlation functions. Results: A table of code synthesis results is given for R = 4 and N ≤ 32. A general account is given of the technique and features of binary code ensemble synthesis with a given level W of lateral peaks of mutual correlation function. To obtain analytical estimates of quantitative characteristics of such code sets, certain hypotheses are proposed, models built and an example given. Practical relevance: The results can be used in control & communication systems. The idea of encipherement with these codes has been formulated. There is a potential way to create «quiet» computers and computer networks, leading to the development of «quiet» Internet.