Title :
Orthogonal periodic sequences derived from M-sequences on GF(q)
Author :
Kirimoto, Tetsuo ; Oh-hashi, Yoshimasa
Author_Institution :
Mitsubishi Electr. Corp., Kanagawa, Japan
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;
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
DOI :
10.1109/MILCOM.1991.258367
