Research On The Construction Method Of Perfect Punctured Binary Sequence Pairs

Spread spectrum communication,optical fiber communication and satellite communication are called the three major means of communication in the information age.In recent years,spread spectrum communication has been further developed with more mature technology,which has been widely used by virtue of its strong anti-interference,good concealment,anti-multipath interference and code division multiple access.Spread spectrum communication is mainly used in four fields,namely military communications,mobile communications,satellite communications,ranging and positioning.In military communication,spread spectrum communication is an important technical means of communication anti-countermeasure,which is applied in global positioning system,weapon system and various communications.With the progress of science and technology,the quality requirements of signals are also gradually improved.Although the optimal signal has the corresponding research results,but far from enough to meet the actual needs.This paper mainly focuses on the research of the perfect punctured binary sequence pair,and designs and implements the algorithm based on the theory of generalized cyclotomy.Firstly,the construction method of punctured binary sequence pairs is summarized,and the theoretical knowledge related to shielded binary sequence pairs is briefly introduced,which lays a foundation for the design of subsequent search algorithm and the proof of theorem.Secondly,based on the generalized cyclotomy overZ_4p,a search algorithm for optimal shielded binary sequence pairs is designed.Based on the obtained experimental data,several kinds of perfect punctured binary sequence pairs construction methods based on the generalized cyclotomy aboveZ_4pare proposed.Finally,based on the generalized cyclotomy overZ_pq,a search algorithm for perfect punctured binary sequence pairs is designed.Based on the experimental data,some new perfect punctured binary sequence pairs based on the generalized cyclotomy aboveZ_pqare summarized.Based on the above search algorithm,this paper constructs the punctured binary sequence pairs with good correlation and high energy efficiency,which has practical application value for studying the best sequence and provides a new research direction for studying the best sequence of other types.