Model of the Periodic Autocorrellation Function of Code Binary Sequences for Wireless Noise Imune Data Transmission Systems Signals Synthesis
Andriy Mis'kiv, Volodymyr-Myron Miskiv, Ivan Prudyus, Roman Yankevych, Sergiy Fabirovskyy · 2018
The paper presents the results of the development of a modified analytical model of the periodic autocorrelation function of code binary sequences for the wireless data transmission systems signals synthesis. The model is based on a discrete representation of the autocorrelation function of sequences in the form of a system of equations given on the set of integers, the theoretical-multiples interpretation of the components of the sequences, their integer transformations, mutual properties and relations. The analytical expressions of the transformations of the components of the sequences are developed and presented. The dependences of the module of the sum of the elements of the sequences on the sum of the levels of the side lobes of their autocorrelation function are obtained. The necessary conditions for the existence of the sequences are defined and formulated. Example of the code binary sequence synthesized on the basis of the developed model is given.