基于循环相关的加权分数阶傅里叶变换信号旋转因子估计方法

doi:10.12382/bgxb.2021.0412

兵工学报 ›› 2022, Vol. 43 ›› Issue (7): 1646-1654.doi: 10.12382/bgxb.2021.0412

基于循环相关的加权分数阶傅里叶变换信号旋转因子估计方法

张笑宇^1,2,3，宋碧雪¹，王洋¹，冯永新¹，钱博¹

（1.沈阳理工大学信息科学与工程学院，辽宁沈阳 110159；2.山东特种工业集团有限公司军品研究所，山东淄博 255200；3.长春理工大学电子信息工程学院，吉林长春 130022)

上线日期:2022-04-12
通讯作者: 冯永新(1974—)，女，教授，博士生导师 E-mail:fengyongxin@263.net
作者简介:张笑宇(1988—)，男，博士，工程师。E-mail: xiaoyu88211@163.com
基金资助:
国家自然科学基金项目（61971291）；辽宁省教育厅科学研究项目（LJKZ0242）；山东轻工职业学院课题项目（2021GB01）

An Estimation Method for Rotation Factors of Weighted Fractional Fourier Transform Signals Based on Cyclic Correlation

ZHANG Xiaoyu^1,2,3， SONG Bixue¹， WANG Yang¹， FENG Yongxin¹， QIAN Bo¹

(1. School of Information Science and Engineering, Shenyang Ligong University, Shenyang 110159, Liaoning, China;2. Institute of Military Products, Shandong Special Industry Group Co., Ltd., Zibo 255200, Shandong, China;3. School of Electronic and Information Engineering, Changchun University of Science and Technology, Changchun 130022, Jilin, China)

Online:2022-04-12

摘要/Abstract

摘要： 加权分数阶傅里叶变换（WFRFT）信号具有很强的抗截获和抗调制方式识别能力，广泛应用于保密通信，WFRFT信号的旋转因子估计可为后续信号处理提供重要依据。通过分析WFRFT信号的特性，统计分析不同旋转因子归一化相关值的峰值及其位置，提出一种未知信号参数下WFRFT信号旋转因子的估计方法。为缩短估计时间，引入循环相关法实现WFRFT信号的快速旋转因子估计。仿真结果表明，基于循环相关的参数估计方法可有效地估计旋转因子，且有效缩短旋转因子估计时间，为WFRFT通信对抗提供重要的依据。

关键词: 信号旋转因子, 加权分数阶傅里叶变换, 循环相关, 信息对抗

Abstract: Weighted fractional Fourier transform (WFRFT) has been widely used in secure communication systems due to its strong anti-interception and anti-modulation recognition capabilities. Accurate estimation of rotation factors of WFRFT signals will facilitate signal processing. In this study, the characteristics of WFRFT signals are analyzed, and an estimation method for rotation factors of WFRFT signals is proposed. To shorten the estimation time, the peak value and position of normalized correlation values of different rotation factors are statistically analyzed, and the cyclic correlation method was introduced to accurately estimate the rotation factor of WFRFT signals under unknown signal parameters. According to the simulation results, the parameter estimation method based on cyclic cross-correlation can accurately estimate the rotation factor of WFRFT signals, which provides an important basis for WFRFT communication countermeasures.

Key words: signalrotationfactor, weightedfractionalFouriertransform, cycliccross-correlation, informationcountermeasure

中图分类号:

TN975

张笑宇，宋碧雪，王洋，冯永新，钱博. 基于循环相关的加权分数阶傅里叶变换信号旋转因子估计方法[J]. 兵工学报, 2022, 43(7): 1646-1654.

ZHANG Xiaoyu， SONG Bixue， WANG Yang， FENG Yongxin， QIAN Bo. An Estimation Method for Rotation Factors of Weighted Fractional Fourier Transform Signals Based on Cyclic Correlation[J]. Acta Armamentarii, 2022, 43(7): 1646-1654.

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基于循环相关的加权分数阶傅里叶变换信号旋转因子估计方法

An Estimation Method for Rotation Factors of Weighted Fractional Fourier Transform Signals Based on Cyclic Correlation

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