A class of optimal frequency hopping sequences based upon the theory of power residues

Daiyuan Peng; Tu Peng; Xiaohu Tang; Xianhua Niu

doi:10.1007/978-3-540-85912-3_18

A class of optimal frequency hopping sequences based upon the theory of power residues

Daiyuan Peng^*
, Tu Peng
, Xiaohu Tang
, Xianhua Niu

^*此作品的通讯作者

Southwest Jiaotong University
University of Texas at Dallas

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

31 引用（Scopus）

摘要

The average Hamming correlation is an important performance indicator of the frequency hopping sequences. In this paper, the theoretical bound on the average Hamming correlation for frequency hopping sequences is established. Besides, a new family of frequency hopping sequences is proposed and investigated. The construction of new frequency hopping sequences is based upon the theory of power residues, and the new frequency hopping sequences are called the power residue frequency hopping sequences. It is shown that new frequency hopping sequences are optimal with respect to both average Hamming correlation family and the optimal maximum Hamming correlation.

源语言	英语
主期刊名	Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings
页	188-196
页数	9
DOI	https://doi.org/10.1007/978-3-540-85912-3_18
出版状态	已出版 - 2008
已对外发布	是
活动	5th International Conference on Sequences and Their Applications, SETA 2008 - Lexington, KY, 美国期限: 14 9月 2008 → 18 9月 2008

出版系列

姓名	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
卷	5203 LNCS
ISSN（印刷版）	0302-9743
ISSN（电子版）	1611-3349

会议

会议	5th International Conference on Sequences and Their Applications, SETA 2008
国家/地区	美国
市	Lexington, KY
时期	14/09/08 → 18/09/08

访问文件

10.1007/978-3-540-85912-3_18

其它文件与链接

链接到 Scopus 的出版物

引用此

Peng, D., Peng, T., Tang, X., & Niu, X. (2008). A class of optimal frequency hopping sequences based upon the theory of power residues. 在 Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings (页码 188-196). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 卷 5203 LNCS). https://doi.org/10.1007/978-3-540-85912-3_18

Peng, Daiyuan ; Peng, Tu ; Tang, Xiaohu 等. / A class of optimal frequency hopping sequences based upon the theory of power residues. Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings. 2008. 页码 188-196 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{2bc2abdfc5874132a4a680bf5f25eaed,

title = "A class of optimal frequency hopping sequences based upon the theory of power residues",

abstract = "The average Hamming correlation is an important performance indicator of the frequency hopping sequences. In this paper, the theoretical bound on the average Hamming correlation for frequency hopping sequences is established. Besides, a new family of frequency hopping sequences is proposed and investigated. The construction of new frequency hopping sequences is based upon the theory of power residues, and the new frequency hopping sequences are called the power residue frequency hopping sequences. It is shown that new frequency hopping sequences are optimal with respect to both average Hamming correlation family and the optimal maximum Hamming correlation.",

keywords = "Average Hamming correlation, Frequency hopping sequence, Hamming correlation, Theoretical bound",

author = "Daiyuan Peng and Tu Peng and Xiaohu Tang and Xianhua Niu",

year = "2008",

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language = "English",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "188--196",

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Peng, D, Peng, T, Tang, X & Niu, X 2008, A class of optimal frequency hopping sequences based upon the theory of power residues. 在 Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 卷 5203 LNCS, 页码 188-196, 5th International Conference on Sequences and Their Applications, SETA 2008, Lexington, KY, 美国, 14/09/08. https://doi.org/10.1007/978-3-540-85912-3_18

A class of optimal frequency hopping sequences based upon the theory of power residues. / Peng, Daiyuan; Peng, Tu; Tang, Xiaohu 等.
Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings. 2008. 页码 188-196 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 卷 5203 LNCS).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - A class of optimal frequency hopping sequences based upon the theory of power residues

AU - Peng, Daiyuan

AU - Peng, Tu

AU - Tang, Xiaohu

AU - Niu, Xianhua

PY - 2008

Y1 - 2008

N2 - The average Hamming correlation is an important performance indicator of the frequency hopping sequences. In this paper, the theoretical bound on the average Hamming correlation for frequency hopping sequences is established. Besides, a new family of frequency hopping sequences is proposed and investigated. The construction of new frequency hopping sequences is based upon the theory of power residues, and the new frequency hopping sequences are called the power residue frequency hopping sequences. It is shown that new frequency hopping sequences are optimal with respect to both average Hamming correlation family and the optimal maximum Hamming correlation.

AB - The average Hamming correlation is an important performance indicator of the frequency hopping sequences. In this paper, the theoretical bound on the average Hamming correlation for frequency hopping sequences is established. Besides, a new family of frequency hopping sequences is proposed and investigated. The construction of new frequency hopping sequences is based upon the theory of power residues, and the new frequency hopping sequences are called the power residue frequency hopping sequences. It is shown that new frequency hopping sequences are optimal with respect to both average Hamming correlation family and the optimal maximum Hamming correlation.

KW - Average Hamming correlation

KW - Frequency hopping sequence

KW - Hamming correlation

KW - Theoretical bound

UR - https://www.scopus.com/pages/publications/56449104338

U2 - 10.1007/978-3-540-85912-3_18

DO - 10.1007/978-3-540-85912-3_18

M3 - Conference contribution

AN - SCOPUS:56449104338

SN - 354085911X

SN - 9783540859116

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 188

EP - 196

BT - Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings

T2 - 5th International Conference on Sequences and Their Applications, SETA 2008

Y2 - 14 September 2008 through 18 September 2008

ER -

Peng D, Peng T, Tang X, Niu X. A class of optimal frequency hopping sequences based upon the theory of power residues. 在 Sequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings. 2008. 页码 188-196. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-85912-3_18

A class of optimal frequency hopping sequences based upon the theory of power residues

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