In this paper, a new block design (punctured difference set pair) is presented, in order to do further research on perfect punctured binary sequence pair. Study the properties of punctured difference set pair, and show that a special class of punctured difference set pair is equivalent to perfect punctured binary sequence pair. Therefore, the corresponding perfect punctured binary sequence pair can be obtained by using difference set, based on the equivalent condition. The method proposed in this paper develops the constructing methods for perfect punctured binary sequence pair, as well, it can meet the practical requirements in engineering applications better
The optimal discrete signal are widely used in spread spectrum communication systems, sonar, navigation, code division multiple access systems and other fields. The perfect sequence pair is an extension of the single best signal, so its application is more widely. This paper puts forward new methods of constructing the binary sequence pair of three values and quaternion sequence pair of three values according to the problem of constructing the sequence pairs of three values. This method is that it uses N long cyclotomic pseudo-random sequence and its shift sequences pair to do series connection to constitute a 4 N long binary sequence pair of three values. New sequence pairs of three values is obtained by this method proved to have good balance. The application steps of this method are given and shall be verified by some examples.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.