Abstract
The Golay complementary sequences have been studied for more than five decades since Golay first discovered those sequences. However, few studies on the correlation function of transformation form of q-ary complementary se- quences. New notions of equivalent transformation on q-ary sequences and equivalent transformation pair of a q-ary se- quence and its complex polyphase form are put forward. A theorem on equivalent transformations of q-ary sequences is proposed and proved. Two theorems of equivalent transformation pairs of a q-ary sequence and its complex polyphase form are presented and proved. Finally, Constructions of Golay complementary pairs based on the above theorems and examples are given. These new notions and new theorems are the basis for various constructions of Golay complementary pairs.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
