Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets
Summary :
The present paper proposes two new methods for constructing polyphase asymmetric zero-correlation zone (A-ZCZ) sequence sets. In previous studies, the authors proposed methods for constructing quasi-optimal polyphase A-ZCZ sequence sets using perfect sequences and for constructing optimal polyphase A-ZCZ sequence sets using discrete Fourier transform (DFT) matrices. However, in these methods, the total number of sequences in an A-ZCZ sequence set cannot exceed the period of the perfect sequence or the dimension of the DFT matrix used for constructing the A-ZCZ sequence set. We now propose two extended versions of these methods. The proposed methods can generate a quasi-optimal or optimal polyphase A-ZCZ sequence set where the total number of sequences exceeds the period of the perfect sequence or the dimension of the DFT matrix. In other words, the proposed methods can generate new A-ZCZ sequence sets that cannot be obtained from the known methods.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.11 pp.2244-2252
- Publication Date
- 2013/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.2244
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Hideyuki TORII
Kanagawa Institute of Technology
Takahiro MATSUMOTO
Yamaguchi University
Makoto NAKAMURA
Kanagawa Institute of Technology
Keyword
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Hideyuki TORII, Takahiro MATSUMOTO, Makoto NAKAMURA, "Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 11, pp. 2244-2252, November 2013, doi: 10.1587/transfun.E96.A.2244.
Abstract: The present paper proposes two new methods for constructing polyphase asymmetric zero-correlation zone (A-ZCZ) sequence sets. In previous studies, the authors proposed methods for constructing quasi-optimal polyphase A-ZCZ sequence sets using perfect sequences and for constructing optimal polyphase A-ZCZ sequence sets using discrete Fourier transform (DFT) matrices. However, in these methods, the total number of sequences in an A-ZCZ sequence set cannot exceed the period of the perfect sequence or the dimension of the DFT matrix used for constructing the A-ZCZ sequence set. We now propose two extended versions of these methods. The proposed methods can generate a quasi-optimal or optimal polyphase A-ZCZ sequence set where the total number of sequences exceeds the period of the perfect sequence or the dimension of the DFT matrix. In other words, the proposed methods can generate new A-ZCZ sequence sets that cannot be obtained from the known methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.2244/_p
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@ARTICLE{e96-a_11_2244,
author={Hideyuki TORII, Takahiro MATSUMOTO, Makoto NAKAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets},
year={2013},
volume={E96-A},
number={11},
pages={2244-2252},
abstract={The present paper proposes two new methods for constructing polyphase asymmetric zero-correlation zone (A-ZCZ) sequence sets. In previous studies, the authors proposed methods for constructing quasi-optimal polyphase A-ZCZ sequence sets using perfect sequences and for constructing optimal polyphase A-ZCZ sequence sets using discrete Fourier transform (DFT) matrices. However, in these methods, the total number of sequences in an A-ZCZ sequence set cannot exceed the period of the perfect sequence or the dimension of the DFT matrix used for constructing the A-ZCZ sequence set. We now propose two extended versions of these methods. The proposed methods can generate a quasi-optimal or optimal polyphase A-ZCZ sequence set where the total number of sequences exceeds the period of the perfect sequence or the dimension of the DFT matrix. In other words, the proposed methods can generate new A-ZCZ sequence sets that cannot be obtained from the known methods.},
keywords={},
doi={10.1587/transfun.E96.A.2244},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2244
EP - 2252
AU - Hideyuki TORII
AU - Takahiro MATSUMOTO
AU - Makoto NAKAMURA
PY - 2013
DO - 10.1587/transfun.E96.A.2244
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2013
AB - The present paper proposes two new methods for constructing polyphase asymmetric zero-correlation zone (A-ZCZ) sequence sets. In previous studies, the authors proposed methods for constructing quasi-optimal polyphase A-ZCZ sequence sets using perfect sequences and for constructing optimal polyphase A-ZCZ sequence sets using discrete Fourier transform (DFT) matrices. However, in these methods, the total number of sequences in an A-ZCZ sequence set cannot exceed the period of the perfect sequence or the dimension of the DFT matrix used for constructing the A-ZCZ sequence set. We now propose two extended versions of these methods. The proposed methods can generate a quasi-optimal or optimal polyphase A-ZCZ sequence set where the total number of sequences exceeds the period of the perfect sequence or the dimension of the DFT matrix. In other words, the proposed methods can generate new A-ZCZ sequence sets that cannot be obtained from the known methods.
ER -
English
