基于椭圆球面波信号的多支路连续相位调制解调方法

doi:10.3969/j.issn.1000-1093.2021.07.010

摘要/Abstract

摘要： 针对现有甚低频通信模式通信速率较低、频带利用率不高的问题，探索研究一种基于椭圆球面波信号的多支路连续相位调制解调方法。具有时频域高能量聚集性的椭圆球面波信号引入连续相位调制，利用椭圆球面波信号完备正交特性，将不同阶椭圆球面波信号同时作为连续相位调制的基带调频脉冲信号，产生多支路连续相位调制信号；在信号接收端，利用传统差分相干检测对信息符号序列映射信息进行解调，通过对多个比特周期内信号求互相关值和的方法，实现椭圆球面波波形映射信息的检测与解调。仿真实验结果表明：该多支路连续相位调制解调方法与目前甚低频通信采用的最小频移键控调制模式相比，在调制信号99.9%功率带宽条件下，可有效提高频带利用率约9.43%；但在调制信号99.0%功率带宽条件下，频带利用率会降低约1.24%.

关键词: 椭圆球面波, 多支路连续相位调制, 调制解调方法, 频带利用率

Abstract: A multi-branch continuous phase modulation and demodulation method based on prolate spheroidal wave functions (PSWFs) signal is studied for the problems of low communication rate and low spectral efficiency in the existing very low frequency (VLF) communication mode. Through introducing the PSWFs signal with high energy aggregation in the time-frequency domain into continuous phase modulation and using the complete orthogonal characteristics of the PSWFs signal, the PSWFs signal with different orders are simultaneously used as the continuous-phase modulated baseband frequency-modulated pulse signals, thereby generating a modulated signal. At the signal receiving end, the traditional differential coherent detection method is used to demodulate the mapping information of information symbol sequence. And then the method of obtaining the sum of cross-correlation values of the signals during multiple bit periods is used to detect and demodulate the PSWFs waveform mapping information. The experimental results show that, compared with the minimum frequency shift keying modulation mode currently used in VLF underwater communication, the spectral efficiency can be effectively improved by about 9.43%, but it can be reduced by about 1.24% under the condition of 99.0% power bandwidth of modulated signal.

Key words: prolatespheroidalwave, multi-branchcontinuousphasemodulation, modulationanddemodulationmethod, spectralefficiency

中图分类号:

TN911.3

杨大伟，刘传辉，张磊，康家方. 基于椭圆球面波信号的多支路连续相位调制解调方法[J]. 兵工学报, 2021, 42(7): 1431-1439.

YANG Dawei， LIU Chuanhui， ZHANG Lei， KANG Jiafang. Multi-branch Continuous Phase Modulation and Demodulation Method Based on PSWFs Signal[J]. Acta Armamentarii, 2021, 42(7): 1431-1439.

参考文献

［1］明磊. 对潜通信:世界主要国家军用低频、甚低频和极低频长波电台概况［EB/OL］. (2018-07-16)［2020-12-20］. http:∥www.knowfar.org.cn/article-30-811.aspx.
MING L. Overview of military low frequency, very low frequency and very low frequency long wave radio stations in major countries of the world［EB/OL］. (2018-07-16)［2020-12-20］. http:∥www.knowfar.org.cn/article-30-811.aspx. (in Chinese)
［2］ John G. Proakis, Masoud Salehi. 数字通信［M］. 第5版. 张力军,
张宗橙, 宋荣方, 等, 译. 北京:电子工业出版社, 2017: 83-90.
PROAKIS J G, SALEHI M. Digital communications ［M］. 5th ed. ZHANG L J, ZHANG Z C, SONG R F, et al, translated. Beijing: Publishing House of Electronics Industry, 2017: 83-90. (in Chinese)
［3］ ZAIDI Y, VAN ZYL R R, FITZ-COY M. A GMSK VHF-uplink/UHF-downlink transceiver for the CubeSat missions［J］. CEAS Space Journal, 2018, 10(3): 453-467.
［4］ RHYOU C, PARK S, LEE H. Optimal rate for continuous phase modulation in standing surface acoustic waves［J］. Journal of Mechanical Science and Technology, 2019, 33(8):3819-3829.
［5］ SEMENOV V Y. Demodulation method for continuous phase
modulation signals based on least-squares method［J］. Radioelectronics and Communications Systems, 2018, 61: 153-156.
［6］ XUE R, SUN Y B, ZHAO D F. CPM signals for satellite navigation in the S and C bands［J］. Sensors, 2015, 15(6): 13184-13200.
［7］ SLEPIAN D, POLLAK H O. Prolate spheroidal wave functions, Fourier analysis and uncertainty-I［J］. The Bell System Technical Journal, 1961, 40(1): 43-63.
［8］ TAHAR M. Solution of the energy concentration problem and application［J］. Afrika Matematika, 2018, 29(5): 929-938.
［9］ MOURAD B, PHILIPPE J, AHMED S. Mean convergence of prolate spheroidal series and their extensions［J］. Journal of Functional Analysis, 2019, 277(12): 108295.
［10］ MAHATA K, HYDER M M. Frequency estimation from arbitrary time sample［J］. IEEE Transaction on Signal Processing, 2016, 64(21): 5634-5643.
［11］ DE SANCTIS M, CIANCA E, ROSSI T, et al. Waveform design solutions for EHF broadband satellite communications［J］. IEEE Communications Magazine, 2015, 53(3): 18-23.
［12］ DU W T, LIAO G S, YANG Z W. Robust space time processing based on bi-iterative scheme of secondary data selection and PSWF method［J］. Digital Signal Processing, 2016, 52: 64-71.
［13］ ZOU C M, KOU K I. Robust signal recovery using the prolate spherical wave functions and maximum correntropy criterion［J］. Mechanical Systems and Signal Processing, 2018, 104:279-289.
［14］ CHEN Z N, WANG H X, LIU X G, et al. Maximal capacity nonorthogonal pluse shape modulation［J］. Chinese Journal of Aeronautics, 2015, 28(6): 1699-1708.
［15］王红星, 陆发平, 刘传辉, 等. 严格奇偶对称的椭圆球面波函数信号构建与低复杂度检测方法［J］. 中国科学: 信息科学, 2020, 50(5): 766-776.
WANG H X, LU F P, LIU C H, et al. Strict parity symmetric prolate spheroidal wave functions signal construction and low complexity detection method［J］. SCIENTIA SINICA Informationis, 2020, 50(5): 766-776. (in Chinese)
［16］王式林, 徐友云, 蔡云飞. 现代数字调制及其应用(上)［M］. 北京: 电子工业出版社, 2015: 1-14.
WANG S L, XU Y Y, CAI Y F. Modern digital modulation and its application (Volume 1) ［M］. Beijing: Publishing House of Electronics Industry, 2015: 1-14. (in Chinese)
［17］党小宇, 刘兆彤, 李宝龙, 等. 物理层网络编码中连续相位调制信号的非相干多符号检测［J］. 电子与信息学报, 2016, 38(4): 877-884.
DANG X Y, LIU Z T, LI B L, et al. Non-coherent multiple symbol detection for continuous phase modulation in physical-layer network coding［J］. Journal of Electronics & Information Technology, 2016, 38(4): 877-884. (in Chinese)
［18］田文飚, 王鹏, 芮国胜, 等. 基于差分复合网格的MSK非相干解调算法［J］. 通信学报, 2018, 39(12): 160-166.
TIAN W B, WANG P, RUI G S, et al. Non-coherent demodulation algorithm of MSK based on differential composite［J］. Journal on Communications, 2018, 39(12): 160-166. (in Chinese)
［19］ YOO G R, OWHADI H. De-noising by thresholding operator adapted wavelets［J］. Statistics and Computing, 2019, 29: 1185-1201.
［20］郝建军, 刘勇刚, 廖刚, 等. 一种改进小波阈值函数的信号去噪［J］. 重庆理工大学学报(自然科学版), 2019, 33(4): 93-97.
HAO J J, LIU Y G, LIAO G, et al. A signal de-noising with improved wavelet threshold function［J］. Journal of Chongqing University of Technology (Natural Science), 2019, 33(4):93-97. (in Chinese)
［21］ BAL A， BANERJEE M， SHARMA P, et al. An efficient wavelet and curvelet-based PET image denoising technique［J］. Medical & Biological Engineering & Computing, 2019, 57(12): 2567-2598.