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Aperiodic quadriphase *Z*-complementary sequences, which include the conventional complementary sequences as special cases, are introduced. It is shown that, the aperiodic quadriphase *Z*-complementary pairs are normally better than binary ones of the same length, in terms of the number of *Z*-complementary pairs, and the maximum zero correlation zone. New notions of elementary transformations on quadriphase sequences and elementary operations on sets of quadriphase *Z*-complementary sequences are presented. In particular, new methods for analyzing the relations among the formulas relative to sets of quadriphase *Z*-complementary sequences and for describing the sets are proposed. The existence problem of *Z*-complementary pairs of quadriphase sequences with zero correlation zone equal to 2, 3, and 4 is investigated. Constructions of sets of quadriphase *Z*-complementary sequences and their mates are given.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.11 pp.2251-2257

- Publication Date
- 2010/11/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.2251

- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and its Application in Communications)

- Category
- Sequences

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Xudong LI, Pingzhi FAN, Xiaohu TANG, Li HAO, "Quadriphase Z-Complementary Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 11, pp. 2251-2257, November 2010, doi: 10.1587/transfun.E93.A.2251.

Abstract: Aperiodic quadriphase *Z*-complementary sequences, which include the conventional complementary sequences as special cases, are introduced. It is shown that, the aperiodic quadriphase *Z*-complementary pairs are normally better than binary ones of the same length, in terms of the number of *Z*-complementary pairs, and the maximum zero correlation zone. New notions of elementary transformations on quadriphase sequences and elementary operations on sets of quadriphase *Z*-complementary sequences are presented. In particular, new methods for analyzing the relations among the formulas relative to sets of quadriphase *Z*-complementary sequences and for describing the sets are proposed. The existence problem of *Z*-complementary pairs of quadriphase sequences with zero correlation zone equal to 2, 3, and 4 is investigated. Constructions of sets of quadriphase *Z*-complementary sequences and their mates are given.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.2251/_p

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@ARTICLE{e93-a_11_2251,

author={Xudong LI, Pingzhi FAN, Xiaohu TANG, Li HAO, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Quadriphase Z-Complementary Sequences},

year={2010},

volume={E93-A},

number={11},

pages={2251-2257},

abstract={Aperiodic quadriphase *Z*-complementary sequences, which include the conventional complementary sequences as special cases, are introduced. It is shown that, the aperiodic quadriphase *Z*-complementary pairs are normally better than binary ones of the same length, in terms of the number of *Z*-complementary pairs, and the maximum zero correlation zone. New notions of elementary transformations on quadriphase sequences and elementary operations on sets of quadriphase *Z*-complementary sequences are presented. In particular, new methods for analyzing the relations among the formulas relative to sets of quadriphase *Z*-complementary sequences and for describing the sets are proposed. The existence problem of *Z*-complementary pairs of quadriphase sequences with zero correlation zone equal to 2, 3, and 4 is investigated. Constructions of sets of quadriphase *Z*-complementary sequences and their mates are given.},

keywords={},

doi={10.1587/transfun.E93.A.2251},

ISSN={1745-1337},

month={November},}

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TY - JOUR

TI - Quadriphase Z-Complementary Sequences

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 2251

EP - 2257

AU - Xudong LI

AU - Pingzhi FAN

AU - Xiaohu TANG

AU - Li HAO

PY - 2010

DO - 10.1587/transfun.E93.A.2251

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 11

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - November 2010

AB - Aperiodic quadriphase *Z*-complementary sequences, which include the conventional complementary sequences as special cases, are introduced. It is shown that, the aperiodic quadriphase *Z*-complementary pairs are normally better than binary ones of the same length, in terms of the number of *Z*-complementary pairs, and the maximum zero correlation zone. New notions of elementary transformations on quadriphase sequences and elementary operations on sets of quadriphase *Z*-complementary sequences are presented. In particular, new methods for analyzing the relations among the formulas relative to sets of quadriphase *Z*-complementary sequences and for describing the sets are proposed. The existence problem of *Z*-complementary pairs of quadriphase sequences with zero correlation zone equal to 2, 3, and 4 is investigated. Constructions of sets of quadriphase *Z*-complementary sequences and their mates are given.

ER -