Orthogonal and ZCZ Sets of Real-Valued Periodic Orthogonal Sequences from Huffman Sequences
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- MATSUMOTO Takahiro
- Graduate School of Science and Engineering, Yamaguchi University
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- MATSUFUJI Shinya
- Graduate School of Science and Engineering, Yamaguchi University
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- KOJIMA Tetsuya
- Department of Computer Science, Tokyo National College of Technology
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- PARAMPALLI Udaya
- Department of Computer Science and Software Engineering, University of Melbourne
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This paper presents a method of generating sets of orthogonal and zero-correlation zone (ZCZ) periodic real-valued sequences of period 2n, n ≥ 1. The sequences admit a fast correlation algorithm and the sets of sequences achieve the upper bound on family size. A periodic orthogonal sequence has the periodic autocorrelation function with zero sidelobes, and a set with orthogonal sequences whose mutual periodic crosscorrelation function at zero shift is zero. Similarly, a ZCZ set is the set of the sequences with zero-correlation zone. In this paper, we derive the real-valued periodic orthogonal sequences of period 2n from a real-valued Huffman sequence of length 2ν + 1, ν being a positive integer and ν ≥ n, whose aperiodic autocorrelation function has zero sidelobes except possibly at the left and right shift-ends. The orthogonal and ZCZ sets of real-valued periodic orthogonal sequences are useful in various systems, such as synchronous code division multiple access (CDMA) systems, quasi-synchronous CDMA systems and digital watermarkings.
収録刊行物
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A (12), 2728-2736, 2011
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詳細情報 詳細情報について
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- CRID
- 1390282681288118272
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- NII論文ID
- 10030533967
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- NII書誌ID
- AA10826239
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- ISSN
- 17451337
- 09168508
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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