Stepanenko Y. The synthesis method of wideband signals ensembles for telecommunication systems with code division multiple access

3. The object of study - the formation of the wideband signals ensembles for radio communication systems with code division multiplexing. The aim - to improve the efficiency of code division multiplexing telecommunication networks by increasing volumes of wideband signals ensembles with low multiple access noise. Methods: methods of statistical theory of communication, probability theory and stochastic processes, numerical methods for empirical data processing, methods of simulation, mathematical statistics. Scientific novelty: 1) It was first obtained the mathematical model of the formation of code sequences of short pulses, which allows to determine the period in the sequence of wideband signals ensembles considering the number and duration of pulses, which are represented by the Heaviside Step function approximation. This allows synthesize an ensemble of wideband signals with low cross correlation, which increases the efficiency of telecommunication networks with code division multiplexing. 2) It was further developed of the wideband signals ensembles forming method by increasing the volume of the ensemble of sequences at a constant level of multiple access noise, which is different from the known using permutation procedure of time intervals in the code sequence, which improves the efficiency of telecommunication networks with code division multiplexing. 3) It was improved the permutations of time intervals of wideband signals ensembles sequences method by taking into account their cross-correlation properties by permutation of the time intervals of short pulses sequences, which can improve the efficiency of telecommunication networks with code division multiplexing. Practical results: - created software that implements algorithms: - of code sequences ensembles forming with low multiple access noise, - permutation of time intervals of sequences of wideband signals ensembles for radio communication systems with code division multiplexing. There were developed the practical recommendations on the choice of wideband signals parameters derived from code sequences with improved cross-correlation properties for a given level of multiple access noise. Area of application is telecommunication systems and networks.