Multilayer orthogonal structures based on maximum length sequences

The work is devoted to the study of the properties of maximum length sequences, the most well-known contemporary representatives of noise-like signals. The unique properties of these combinations, associated primarily with recurrent dependencies within linear sections, make it possible to use special mathematical processing methods based on the dual basis of the Galoisfield. This mathematical apparatus of linear algebra provides the determination of the selected M-sequence current phase according to any of its fragments with preset length. As indicated hereto, such processing algorithms are applicable not only for single M-sequences, but also for multilayer orthogonal constructions created on their basis. These constructions, in turn, can be successfully used in future for the code division technology implementation. The new methods of processing such structures offered in the work should contribute to the development of transmitted signal monitoring algorithms, which will enable tracking its distortions and phase failures. Thus, the results of this work can be used in code division multiple access systems.