IEICE TRANSACTIONS on Fundamentals
Expansion of Modulation for Modulatable Orthogonal Sequences
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.
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- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.12 pp.2758-2764
- Publication Date
- 1999/12/25
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- Special Section PAPER (Special Section on Spread Spectrum Techniques and Applications)
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Hideyuki TORII, Naoki SUEHIRO, "Expansion of Modulation for Modulatable Orthogonal Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 12, pp. 2758-2764, December 1999, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_12_2758/_p
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@ARTICLE{e82-a_12_2758,
author={Hideyuki TORII, Naoki SUEHIRO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Expansion of Modulation for Modulatable Orthogonal Sequences},
year={1999},
volume={E82-A},
number={12},
pages={2758-2764},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={December},}
Copy
TY - JOUR
TI - Expansion of Modulation for Modulatable Orthogonal Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2758
EP - 2764
AU - Hideyuki TORII
AU - Naoki SUEHIRO
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1999
AB - 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.
ER -
English
