О корреляционных и спектральных характеристиках кодов Баркера

The study is devoted to the analysis of autocorrelation functions and spectra of signals based on Barker codes, both binary and polyphase. The aim of the work is to study the influence of the number of sequence elements and options for providing calculated phase values on the correlation and spectral characteristics of signals. The methodology includes the calculation of normalized autocorrelation functions, estimation of the side lobes level, and spectral analysis, taking into account practical limitations on phase shifters. It is shown that polyphase Barker codes have a more complex structure of autocorrelation functions with irregular side lobes compared to binary codes. As the number of elements increases, the signal spectrum becomes more irregular, approaching the spectrum of a single radio pulse. Since it is practically impossible to set the phase with the required computational accuracy, it is proposed to use a set of specific phase shifters to maintain acceptable correlation properties. Recommendations on the choice of the number of phase shifters to achieve optimal characteristics are presented. The scientific novelty consists in a quantitative assessment of the effect of phase quantization on the properties of polyphase Barker codes and practical recommendations for their implementation.