Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone

PENG Daiyuan; FAN Pingzhi; LEE Moon Ho

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Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone

机译：具有低命中区的跳频序列的周期性汉明相关性的下界

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摘要

In this paper, several periodic Hamming correlation lower bounds for frequency hopping sequences with low hit zone, with respect to the size p of the frequency slot set, the sequence length L, the family size M, low hit zone L_H (or no hit zone N_H), the maximum periodic Hamming autocorrelation sidelobe H_a and the maximum periodic Hamming crosscorrelation H_c, are established. It is shown that the new bounds include the known Lempel-Greenberger bounds, T.S. Seay bounds and Peng-Fan bounds for the conventional frequency hopping sequences as special cases.

机译：本文针对具有低命中区的跳频序列的几个周期性汉明相关下界，关于频率时隙集的大小p，序列长度L，族大小M，低命中区L_H（或无命中区） N_H），建立最大周期性汉明自相关旁瓣H_a和最大周期性汉明互相关H_c。结果表明，新边界包括已知的Lempel-Greenberger边界T.S.。作为特殊情况，常规跳频序列的Seay界和Peng-Fan界。

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来源
《Science in China. Series F, Information Sciences》 |2006年第2期|p.208-218|共11页
作者
PENG Daiyuan; FAN Pingzhi; LEE Moon Ho;
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作者单位

Institute of Mobile Communications, Southwest Jiaotong University, Chengdu 610031, China;

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原文格式 PDF
正文语种 eng
中图分类自然科学总论;情报学、情报工作;
关键词
frequency hopping sequences; hamming correlation; lempel-greenberger bounds; low hit zone; lower bounds; no hit zone;

机译：跳频序列;汉明相关;lempel-greenberger边界;低打击区;较低边界;无打击区;

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专利

1. Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone [J] . PENG Daiyuan, FAN Pingzhi, LEE Moon Ho Science in China, Series F. Information Sciences . 2006,第2期

机译：具有低命中区的跳频序列的周期性汉明相关性的下界
2. New lower bounds on the aperiodic Hamming correlations of frequency hopping sequences with low hit zone [J] . Hongyu Han, Daiyuan Peng, Xing Liu Designs, Codes and Crytography . 2015,第1期

机译：具有低命中区的跳频序列的非周期性汉明相关性的新下界
3. Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences with Low Hit Zone [J] . Xianhua NIU, Daiyuan PENG, Xing LIU IEICE Transactions on fundamentals of electronics, communications & computer sciences . 2010,第8期

机译：具有低命中区的跳频序列的非周期性汉明相关的下界
4. Lower Bounds on the Average Partial Hamming Correlations of Frequency Hopping Sequences with Low Hit Zone [C] . Xianhua Niu, Daiyuan Peng, Fang Liu Sequences and their applications - SETA 2010 . 2010

机译：具有低命中区的跳频序列的平均部分汉明相关的下界
5. A comparison of slow-frequency-hop and direct-sequence spread-spectrum communications over frequency-selective fading channels. [D] . Gass, John Henry, Jr. 1996

机译：频率选择性衰落信道上慢跳频和直接序列扩频通信的比较。
6. A lower bound on the number of mechanisms for discriminating fourth and higher order spatial correlations [O] . John WG Seamons, Marconi S Barbosa, Anton Bubna-Litic, 2015

机译：区分四阶和高阶空间相关性的机制数量的下限
7. Families of Optimal Low-Hit-Zone Frequency-Hopping Sequence Sets Under the Periodic Partial Hamming Correlation Properties [O] . Limengnan Zhou, Xing Liu 2020

机译：周期性部分汉明相关性能下最佳低击域频率跳频序列集的家庭

Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone

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