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Multi-dimensional (MD) periodic complementary array sets (CASs) with impulse-like MD periodic autocorrelation function are naturally generalized to (one dimensional) periodic complementary sequence sets, and such array sets are widely applied to communication, radar, sonar, coded aperture imaging, and so forth. In this letter, based on multi-dimensional perfect arrays (MD PAs), a method for constructing MD periodic CASs is presented, which is carried out by sampling MD PAs. It is particularly worth mentioning that the numbers and sizes of sub-arrays in the proposed MD periodic CASs can be freely changed within the range of possibilities. In particular, for arbitrarily given positive integers *M* and *L*, two-dimensional periodic polyphase CASs with the number *M*^{2} and size *L**L* of sub-arrays can be produced by the proposed method. And analogously, pseudo-random MD periodic CASs can be given when pseudo-random MD arrays are sampled. Finally, the proposed method's validity is made sure by a given example.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.7 pp.1392-1395

- Publication Date
- 2010/07/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.1392

- Type of Manuscript
- LETTER

- Category
- Information Theory

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Fanxin ZENG, Zhenyu ZHANG, "Construction of Multi-Dimensional Periodic Complementary Array Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 7, pp. 1392-1395, July 2010, doi: 10.1587/transfun.E93.A.1392.

Abstract: Multi-dimensional (MD) periodic complementary array sets (CASs) with impulse-like MD periodic autocorrelation function are naturally generalized to (one dimensional) periodic complementary sequence sets, and such array sets are widely applied to communication, radar, sonar, coded aperture imaging, and so forth. In this letter, based on multi-dimensional perfect arrays (MD PAs), a method for constructing MD periodic CASs is presented, which is carried out by sampling MD PAs. It is particularly worth mentioning that the numbers and sizes of sub-arrays in the proposed MD periodic CASs can be freely changed within the range of possibilities. In particular, for arbitrarily given positive integers *M* and *L*, two-dimensional periodic polyphase CASs with the number *M*^{2} and size *L**L* of sub-arrays can be produced by the proposed method. And analogously, pseudo-random MD periodic CASs can be given when pseudo-random MD arrays are sampled. Finally, the proposed method's validity is made sure by a given example.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.1392/_p

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@ARTICLE{e93-a_7_1392,

author={Fanxin ZENG, Zhenyu ZHANG, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Construction of Multi-Dimensional Periodic Complementary Array Sets},

year={2010},

volume={E93-A},

number={7},

pages={1392-1395},

abstract={Multi-dimensional (MD) periodic complementary array sets (CASs) with impulse-like MD periodic autocorrelation function are naturally generalized to (one dimensional) periodic complementary sequence sets, and such array sets are widely applied to communication, radar, sonar, coded aperture imaging, and so forth. In this letter, based on multi-dimensional perfect arrays (MD PAs), a method for constructing MD periodic CASs is presented, which is carried out by sampling MD PAs. It is particularly worth mentioning that the numbers and sizes of sub-arrays in the proposed MD periodic CASs can be freely changed within the range of possibilities. In particular, for arbitrarily given positive integers *M* and *L*, two-dimensional periodic polyphase CASs with the number *M*^{2} and size *L**L* of sub-arrays can be produced by the proposed method. And analogously, pseudo-random MD periodic CASs can be given when pseudo-random MD arrays are sampled. Finally, the proposed method's validity is made sure by a given example.

keywords={},

doi={10.1587/transfun.E93.A.1392},

ISSN={1745-1337},

month={July},}

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TY - JOUR

TI - Construction of Multi-Dimensional Periodic Complementary Array Sets

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1392

EP - 1395

AU - Fanxin ZENG

AU - Zhenyu ZHANG

PY - 2010

DO - 10.1587/transfun.E93.A.1392

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 7

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - July 2010

AB - Multi-dimensional (MD) periodic complementary array sets (CASs) with impulse-like MD periodic autocorrelation function are naturally generalized to (one dimensional) periodic complementary sequence sets, and such array sets are widely applied to communication, radar, sonar, coded aperture imaging, and so forth. In this letter, based on multi-dimensional perfect arrays (MD PAs), a method for constructing MD periodic CASs is presented, which is carried out by sampling MD PAs. It is particularly worth mentioning that the numbers and sizes of sub-arrays in the proposed MD periodic CASs can be freely changed within the range of possibilities. In particular, for arbitrarily given positive integers *M* and *L*, two-dimensional periodic polyphase CASs with the number *M*^{2} and size *L**L* of sub-arrays can be produced by the proposed method. And analogously, pseudo-random MD periodic CASs can be given when pseudo-random MD arrays are sampled. Finally, the proposed method's validity is made sure by a given example.

ER -