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

doi:10.12382/bgxb.2021.0412

Abstract

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

CLC Number:

TN975

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.

References

［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.