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
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.

参考文献

［1］吴佳隆，任清华，李明. 基于MP-WFRFT的物理层保密增强安全方案[J].信号处理，2021，37(4): 528-535.
WU J L，REN Q H，LI M. A physical layer security enhancement scheme based on MP-WFRFT[J]. Signal Processing, 2021, 37(4): 528-535. (in Chinese)
[2] WU J L，REN Q H，LI M. Research on physical layer encryption scheme of tactical network based on WFRFT[J]. Journal of Physics: Conference Series，2020，1549(2):71-78.
[3] 吴佳隆，任清华，李明. 基于CR-WFRFT的物理层安全认证方法[J].空军工程大学学报(自然科学版)，2020，21(3):93-98.
WU J L，REN Q H，LI M. A physical layer security authentication method based on CR-WFRFT[J].Journal of Air Force Engineering University (Nature Science Edition)，2020，21(3): 93-98. (in Chinese)
[4] GAO W B，LI B Z. Convolution theorem involving n-dimensional windowed fractional Fourier transform[J]. Science China (Information Sciences), 2021, 64(6): 169302.
[5] 杨振鑫.WFRFT信号参数识别方法研究[D].哈尔滨: 哈尔滨工业大学，2020.
YANG Z X. Studies on the methods of parameters identification of WFRFT signal[D]. Harbin: Harbin Institute of Technology，2020.(in Chinese)
[6] 费顺超.低空网络化弹药高效地空直扩通信技术研究[D]. 沈阳:沈阳理工大学，2018.
FEI S C. Research on the technology of high-efficiency ground-to-air direct sequence spread spectrum communication for low-altitude Networked ammunition[D]. Shenyang: Shenyang Ligong University，2018. (in Chinese)
[7] 翟东，达新宇，梁源. WFRFT-MIMO卫星抗截获通信系统[J].空军工程大学学报(自然科学版)，2018，19(2):26-32.
ZHAI D，DA X Y，LIANG Y. Satellite anti-interception communication system with WFRFT and MIMO[J].Journal of Air Force Engineering University (Nature Science Edition)，2018，19(2): 26-32. (in Chinese)
[8] 张笑宇，冯永新.一种基于时分数据调制的加权分数阶傅里叶变换通信方法[J].兵工学报，2020，41(7):1360-1367.
ZHANG X Y，FENG Y X. A communication method based on time division modulation weighted fractional fourier transform[J]. Acta Armamentarii, 2020, 41(7): 1360-1367. (in Chinese)
[9] 张笑宇.面向网络化弹药的多域调制二维信息传输关键技术研究[D].沈阳: 沈阳理工大学，2021: 47-54.
ZHANG X Y. Research on key technology of 2-Dimension information transmission for multi-domain modulation orient networked ammunition[D]. Shenyang: Shenyang Ligong University, 2021: 47-54. (in Chinese)
[10] LIU F，WANG L，XIE J，et al. MP-WFRFT and chaotic scrambling aided directional modulation technique for physical layer security enhancement[J]. IEEE Access，2019, 7: 74459-74470.
[11] LIANG Y, DA X Y, XU R Y, et al. Research on constellation-splitting criterion in multiple parameters WFRFT modulations[J]. IEEE Access, 2018, 2018(6): 34354-34363.
[12] LIANG Y, XIANG X, SUN Y, et al. Novel modulation recognition for WFRFT-based system using 4th-order cumulants[J]. IEEE Access, 2019, 7: 86018-86025.
[13] WANG X L，MEI L，WANG Z D，et al. On the probability density function of the real and imaginary parts in WFRFT signals[J].China Communications，2016，2016(9): 44-52.
[14] WANG Z D，MEI L，SHA X J. BER analysis of WFRFT precoded OFDM and GFDM waveforms with an integer time offset[J].IEEE Transactions on Vehicular Technology，2018, 67: 9097-9111.
[15] WANG Z D，MEI L，SHA X J. BER analysis of STBC hybrid carrier system based on WFRFT with frequency domain equalization[J]. Science China, 2018, 61(1): 082301(1)-082301(13).
[16] WANG Z D，MEI L，WANG X L. On the performance of hybrid carrier system based on WFRFT with power allocation[J]. IEEE Access，2018，6: 29231-29240.
[17] FANG X J，SHA X J，MEI L. Guaranteeing wireless communication secrecy via a WFRFT-based cooperative system[J]. China Communications，2015，2015(9):76-89.
[18] SHA X J. Hybrid carrier CDMA communication system based on weighted-type fractional Fourier transform[J]. IEEE Communications Letters，2012，16(4): 432-435.
[19] FANG X J, SHA X J, LI Y. Secret communication using parallel combinatory spreading WFRFT[J]. IEEE Communications Letters, 2015, 19(1):31-33.
[20] WANG Z D，MEI L，WANG X L. BER analysis of hybrid carrier system based on WFRFT with carrier frequency offset[J]. Electronics Letters, 2015, 51(21): 1708-1709.

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价