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第 39 卷 第 2 期 Vol. 39, No. 2
2020 年 3 月 Journal of Applied Acoustics March, 2020
⋄ 研究报告 ⋄
一种基于随机序列的正交离散频率编码信号 ∗
贾基东 1,2,3 李淑秋 1,3† 李 宇 1,3
(1 中国科学院声学研究所 北京 100190)
(2 中国科学院大学 北京 100049)
(3 中国科学院先进水下信息技术重点实验室 北京 100190)
摘要：针对正交离散频率编码信号已有设计方法编码长度和数量受限、生成信号彼此正交性较弱等问题，该文
利用线性同余随机序列随机性强的特点，提出了基于随机序列的正交离散频率编码信号设计方法。在此基础
上，推导了离散频率编码信号的模糊函数，分析了信号的时延、多普勒测量精度和信号集的正交性，并通过仿
真实验比较了基于随机序列和基于混沌序列设计的离散频率编码信号的正交性特性。理论分析和仿真实验表
明，基于随机序列的正交离散频率编码信号具有更优良的模糊函数，信号彼此间的正交性特性更好，且易于设
计和实现。
关键词：离散频率编码信号；随机序列；正交；模糊函数
中图法分类号: TB566 文献标识码: A 文章编号: 1000-310X(2020)02-0275-09
DOI: 10.11684/j.issn.1000-310X.2020.02.015
Orthogonal discrete frequency coding signal based on random sequence
JIA Jidong 1,2,3 LI Shuqiu 1,3 LI Yu 1,3
(1 Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China)
(2 University of Chinese Academy of Sciences, Beijing 100049, China)
(3 Key Laboratory of Science and Technology on Advanced Underwater Acoustic Signal Processing, Chinese Academy of
Sciences, Beijing 100190, China)
Abstract: Given that problems exist in the current design of orthogonal discrete frequency coding signals, such
as limited coding length and signal number, a kind of method based on a linear congruential generator, which
has strong randomness, is proposed in this paper. Then, the time-Doppler ambiguity function of the designed
signal is introduced in detail, the measuring accuracy of time delay and Doppler as well as the orthogonal
property is analyzed based on the model proposed in this paper. Signal performances are compared between
the paper’s method and the one based on chaotic sequences by simulations. The proposed signals present
good performances in ambiguity function, better orthogonal quality and the ability to be programmed easily
in theory and simulations.
Keywords: Discrete frequency coding signal; Random sequence; Orthogonality; Ambiguity function
2019-06-10 收稿; 2019-08-28 定稿
国家自然科学基金项目 (11504402)
∗
作者简介: 贾基东 (1992– ), 男, 河南洛阳人, 博士研究生, 研究方向: 信号与信息处理。
† 通信作者 E-mail: lsq@mail.ioa.ac.cn
