Orthogonal periodic sequences derived from M-sequences on GF(q)

Author

Kirimoto, Tetsuo ; Oh-hashi, Yoshimasa

Author_Institution

Mitsubishi Electr. Corp., Kanagawa, Japan

fYear

1991

fDate

4-7 Nov 1991

Firstpage

779

Abstract

A novel algorithm is proposed to generate orthogonal periodic sequences whose components consists of at most q complex numbers. In this algorithm, orthogonal periodic sequences are generated by means of mapping M-sequences on GF(q) into complex periodic sequences. The mapping functions are obtained by analytically solving a simultaneous nonlinear equation. The mathematical properties are studied, and it is shown that polyphase orthogonal periodic sequences and real orthogonal periodic sequences are derived as the particular cases of the orthogonal periodic sequences

Keywords

binary sequences; nonlinear equations; GF(q); M-sequences; algorithm; complex numbers; complex periodic sequences; mapping functions; orthogonal periodic sequences; polyphase sequences; real sequences; simultaneous nonlinear equation; Autocorrelation; Discrete Fourier transforms; Feedback; Laboratories; Microwave generation; Modulation coding; Navigation; Nonlinear equations; Spaceborne radar; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Military Communications Conference, 1991. MILCOM '91, Conference Record, Military Communications in a Changing World., IEEE

Conference_Location

McLean, VA

Print_ISBN

0-87942-691-8

Type

conf

DOI

10.1109/MILCOM.1991.258367

Filename

258367

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3447746