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Expansion of Modulation for Modulatable Orthogonal Sequences

Hideyuki TORII, Naoki SUEHIRO

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Summary :

Frank and Zadaff had proposed a class of polyphase orthogonal sequences. Now the sequences are called "Frank sequences. " Suehiro has proposed a modulation method for Frank sequences. For example, the number of 4-phase orthogonal sequences of period 16 is 32 by Suehiro's method, on the other hand, the number of 4-phase Frank sequences of period 16 is 2. In this paper, the modulation method is expanded again and we prove that the sequences obtained by the proposed method are polyphase orthogonal sequences. Furhtermore, we prove that the number of N-phase orthogonal sequences of period N2 obtained by the proposed method is NN-2(N-1)!. As a result of the proposed expansion, the number of 4-phase orthogonal sequences of period 16 is 96.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.12 pp.2758-2764
Publication Date
1999/12/25
Publicized
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DOI
Type of Manuscript
Special Section PAPER (Special Section on Spread Spectrum Techniques and Applications)
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