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IEICE TRANSACTIONS on Fundamentals

Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets

Hideyuki TORII, Takahiro MATSUMOTO, Makoto NAKAMURA

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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

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