二进制差分随机过程键控的结构与性能分析

doi:10.3969/j.issn.1000-436x.2014.12.021

Abstract

Abstract:

A novel modulation and demodulation structure based on binary differential stochastic process shift keying (BDSPSK) is proposed.The theoretical bit error rates (BER) under the Gaussian and quasi-static Rayleigh fading chan-nels are derived,respectively.To verify its performances and security,lots of simulations are done by using MATLAB.The simulations' results show that the BER of the proposed BDSPSK can reach 10^?4when signal to noise ratio (SNR) is about ?2 dB in the Gaussian channel or 25 dB in the Rayleigh fading channel.Meanwhile,the proposed method has a good concealment due to its undetectable property by the generalized second order cyclostationary spectrum,which makes it suit for secure communications in the physical layer.

Key words: stochastic process shift keying, cyclostationary spectrum, fading channel, BER

Zhi-jiang XU,Xiao LING,Kang WANG,Li-min MENG. Structure and performance analysis of binary differential stochastic process shift keying[J]. Journal on Communications, 2014, 35(12): 178-189.

Figures/Tables 20

名称	参数	均值((?1)^m)	方差(v^?1)
均匀	f(x)=σ²,\|x\|≤σ/2	σ²/12	σ⁴/180
高斯	$f (x) = \frac{1}{\sqrt{2 π σ}} e^{- x^{2} / 2 σ^{2}}$	σ²	2σ ⁴
指数	$f (x) = \frac{1}{σ} e^{- x / σ}, x \geq 0$	2σ ²	20σ ⁴
瑞利	$f (x) = \frac{x}{σ^{2}} e^{- x^{2} / 2 σ^{2}}, x \geq 0$	2σ ²	4σ ⁴
拉布拉斯	$f (x) = \frac{1}{2 σ} e^{- \| x \| σ}, σ \geq 0$	2σ ²	20σ ⁴
对数正态	$f (x) = \frac{1}{x \sqrt{2 π} σ} e^{- {(\ln x - μ)}^{2} / 2 σ^{2}}, x \geq 0$	e²(σ²+μ)	$e^{2 (σ^{2} + μ)} (e^{4 σ^{2}} - 1)$
伽马	$f (x) = \frac{{(x / σ)}^{α - 1}}{σ Γ (α)} e^{- x / σ}, x \geq 0 ， σ ＞ 0 ， α ＞ 0$	α(α+1)σ²	$(\frac{Γ (α + 4)}{Γ (α)} - α^{2} {(α + 1)}^{2}) σ^{4}$
韦伯	$f (x) = \frac{β}{α} {(\frac{x}{ε})}^{β - 1} e^{- {(\frac{x}{α})}^{β}}, x \geq 0, α ＞ 0, β ＞ 0$	α²Γ(1+2β^?1)	$α^{4} Γ (1 + 4 β^{- 1})$

名称	方差(v^?1)	误比特率
均匀	4/5	$\frac{1}{2} e r f c [ρ \sqrt{\frac{5 v}{10 + 4 ρ (5 + 2 ρ)}}]$
高斯	2	$\frac{1}{2} e r f c [ρ \sqrt{\frac{v}{2 + 4 ρ (1 + ρ)}}]$
指数（拉布拉斯）	5	$\frac{1}{2} e r f c [ρ \sqrt{\frac{v}{2 + 2 ρ (2 + 5 ρ)}}]$
瑞利	1	$\frac{1}{2} e r f c [\frac{ρ \sqrt{v}}{\sqrt{2} (1 + ρ)}]$

名称	方差(v^?1)	误比特率
均匀	$\frac{4}{5} λ^{4} + 2 λ^{2} ρ^{- 1} + ρ^{- 2}$	$\int_{0}^{\infty} e r f c (\sqrt{5} λ^{2} ρ \sqrt{\frac{v}{10 + 4 λ^{2} ρ (5 + 2 λ^{2} ρ)}}) λ e^{- λ^{2}} d λ$
高斯	$2 λ^{4} + 2 λ^{2} ρ^{- 1} + ρ^{- 2}$	$\int_{0}^{\infty} e r f c (λ^{2} ρ \sqrt{\frac{v}{2 + 4 λ^{2} ρ (1 + λ^{2} ρ)}}) λ e^{- λ^{2}} d λ$
指数（拉布拉斯）	$5 λ^{4} + 2 λ^{2} ρ^{- 1} + ρ^{- 2}$	$\int_{0}^{\infty} e r f c (λ^{2} ρ \sqrt{\frac{v}{2 + 2 λ^{2} ρ (2 + 5 λ^{2} ρ)}}) λ e^{- λ^{2}} d λ$
瑞利	$λ^{4} + 2 λ^{2} ρ^{- 1} + ρ^{- 2}$	$\int_{0}^{\infty} e r f c (\frac{λ^{2} ρ \sqrt{v}}{\sqrt{2} (1 + λ^{2} ρ)}) λ e^{- λ^{2}} d λ$

References 22

[1]	赵旦峰，朱铁林，薛睿 . 隐蔽通信中的 Turbo 码并行译码[J]. 应用科学学报， 2012,30(5):461-465. ZHAO D F , ZHU T L , XUE R . Parallel decoding of Turbo codes in covert communications[J]. Journal of Applied Sciences, 2012,30(5):461-465.
[2]	DASTOOR S K , PATEL V . A novel Android based mobile application as a virtue of covert communication for concealing information in the Speech signal[A]. Emerging Technology Trends in Electronics,Com-munication and Networking (ET2ECN),2012 1st International Con-ference[C].IEEE, 2012.1-6.
[3]	LING J , HE H , LI J ,et al. Covert underwater acoustic communica-tions:transceiver structures,waveform designs and associated per-formances[A]. OCEANS 2010[C].IEEE, 2010.1-10.
[4]	LIU S , QIAO G , ISMAIL A ,et al. Covert underwater acoustic com-munication using whale noise masking on DSSS signal[J]. OCEANS-Bergen,2013 MTS/IEEE[C].IEEE, 2013.1-6.
[5]	STIAN A . Detection Theoretical Approach to Digital Communica-tions Using Autoregressive Process Shift Keying[D]. Norway Troms University 2000.
[6]	RUSCH L A , POOR H V . Narrowband interference suppression in CDMA spread spectrum communications[J]. IEEE Transaction on Communications, 1994,42(234):1969-1979.
[7]	RABADAN J A , PEREZ S T , PEREZ R ,et al. Wireless optical spread spectrum communications data security improvement in wireless links[A]. 39th Annual 2005 International Carnahan Conference Secu-rity Technology[C]. 2005.168-170.
[8]	NARAYANAN R , CHUANG J . Covert communications using het-erodyne correlation random noise signals[J]. Electronics Letters, 2007,43(22):9944698.
[9]	SUSHCHIK M M , TSIMRING L S , VOLKOVSKII A R . Correlation detection in chao-based spread spectrum communication schemes[A]. Control of Oscillations and Chaos Proceedings,2000 2nd International Conference,IEEE[C]. 2000.526-529.
[10]	LEE C , WILLIAMS D B , LEE J . A secure communications system using chaotic switching[J]. International Journal of Bifurcation and Chaos, 1997,7(6):1383-1394.
[11]	FREY D R . Chaotic digital encoding:an approach to secure commu-nication[J]. Circuits and Systems II:Analog and Digital Signal Proc-essing,IEEE Transactions, 1993,40(10):660-666.
[12]	DEDIEU H , KENNEDY M P , HASLER M . Chaos shift keying:modu-lation and demodulation of a chaotic carrier using self-synchronizing chua's circuits[J]. Circuits and Systems II:Analog and Digital Signal Processing,IEEE Transaction, 1993,40(10):634-642.
[13]	YANG T , CHUA L O . Secure communication via chaotic parameter modulation[J]. Circuits and Systems I:Fundamental Theory and Ap-plications,IEEE Transactions, 1996,43(9):817-819.
[14]	SCHIMMING T. , HASLER M. , Optimal detection of differential chaos shift keying[J]. Circuits and Systems I:Fundamental Theory and Applications,IEEE Transactions, 2000,47(12):1712-1719.
[15]	RAAJAN N R , KARTHIKEYAN K , MALLIGARAJ M . Chaos based shift keying for covert communication[A]. Power and Computing Technologies (ICCPCT),2013 International Conference[C]. 2013.1023-1027.
[16]	SAVACI F A , YALCIN M E , GUZELIS C . Steady-state analysis of nonlinearly coupled Chua's circuit with periodic input[J]. Int J Bifur-cation Chaos, 2003,13(11):3395-3407.
[17]	SALBERG A B , HANSSEN A . Secure digital communications by means of stochastic process shift keying[A]. Conference Record of the Thirty-Third Asilomar Conference on[C]. 1999.1523-1527.
[18]	SALBERG A B , HANSSEN A . A novel modulation method for secure digital communications[A]. Statistical Signal and Array Processing,Proceeding of the Tenth IEEE Workshop[C]. 2000.650-654.
[19]	CEK M E , SAVACI F A . Stable non-Gaussian noise parameter modu-lation in digital communication[J]. Electronics Letters, 2009,45(24):1256-1257.
[20]	HUA J Y , ZHAO X M , XU Z J ,et al. An adaptive Doppler shift esti-mator in mobile communication system[J]. IEEE Antennas and Wire-less Propagation Letters, 2007,6:117-121.
[21]	赵春晖，杨伟超，马爽 . 基于广义二阶循环统计量的通信信号调制识别研究[J]. 通信学报， 2011,32(1):144-150. ZHAO C H , YANG W C . Research on communication signal modula-tion recognition haled an the generalized second-order cyclic statis-tics[J]. Journal on Communications, 2011,32(1):144-150.
[22]	GONZALEZ J G , PAREDES J L , ARCE G R . Zero-order statistics:a mathematical framework for the processing and characterization of very impulsive signals[J]. IEEE Transactions on Signal Processing,, 2006,54(10):3839-3851.

Metrics

Recommended 0

No Suggested Reading articles found!

k	a₁(k)	a₂(k)	a₃(k)	σ²_k
0	?1.67	1.01	?0.2	0.64
1	?1.13	0.45	0.04	2.09

Structure and performance analysis of binary differential stochastic process shift keying

RichHTML

PDF

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 20

References 22

Related Articles 15

Metrics

Recommended 0

[1]	Dongyu CHEN, Hua CHEN, Limin FAN, Yifang FU, Jian WANG. Research on test strategy for randomness based on deep learning [J]. Journal on Communications, 2023, 44(6): 23-33.
[2]	Jiale ZHANG, Chengcheng ZHU, Xiaobing SUN, Bing CHEN. Membership inference attack and defense method in federated learning based on GAN [J]. Journal on Communications, 2023, 44(5): 193-205.
[3]	Zaijian WANG, Huimin GU. Network slicing resource allocation strategy based on joint optimization [J]. Journal on Communications, 2023, 44(5): 234-245.
[4]	Yingze LIU, Yuanbo GUO, Chen FANG, Yongfei LI, Qingli CHEN. Intelligent planning method for cyber defense strategies based on bounded rationality [J]. Journal on Communications, 2023, 44(5): 52-63.
[5]	Renchao XIE, Wen WEN, Qinqin TANG, Yunlong LIU, Gaochang XIE, Tao HUANG. Survey on rail transit mobile edge computing network security [J]. Journal on Communications, 2023, 44(4): 201-215.
[6]	Ming XU, Baojun ZHANG, Yiming WU, Chenduo YING, Ning ZHENG. Cyber attacks and privacy protection distributed consensus algorithm for multi-agent systems [J]. Journal on Communications, 2023, 44(3): 117-127.
[7]	Helin SUN, Hongyuan GAO, Yanan DU, Jianhua CHENG, Yapeng LIU. Joint estimation method of target number and orientation parameters for FDA-MIMO radar [J]. Journal on Communications, 2023, 44(2): 41-51.
[8]	Yuan XIE, Tao1 ZOU, Weijun SUN, Shengli XIE. Algorithm of underdetermined convolutive blind source separation for high reverberation environment [J]. Journal on Communications, 2023, 44(2): 82-93.
[9]	Wei JIN, Fenghua LI, Mingjie YU, Yunchuan GUO, Ziyan ZHOU, Liang FANG. HDFS-oriented cryptographic key resource control mechanism [J]. Journal on Communications, 2022, 43(9): 27-41.
[10]	Yuanbo GUO, Yongfei LI, Qingli CHEN, Chen FANG, Yangyang HU. Fusion of Focal Loss’s cyber threat intelligence entity extraction [J]. Journal on Communications, 2022, 43(7): 85-92.
[11]	Tuofeng LEI, Shuyan NI, Naiping CHENG, Xin SONG. SCMA codebooks design for Rayleigh fading channel [J]. Journal on Communications, 2022, 43(4): 107-113.
[12]	Haili SUN, Xiang LONG, Lansheng HAN, Yan HUANG, Qingbo LI. Overview of anomaly detection techniques for industrial Internet of things [J]. Journal on Communications, 2022, 43(3): 196-210.
[13]	Bin LI, Xiaojie CHEN, Feng FENG, Qinglei ZHOU. FPGA multi-unit parallel optimization and implementation of post-quantum cryptography CRYSTALS-Kyber [J]. Journal on Communications, 2022, 43(2): 196-207.
[14]	Xumin HUANG, Yang ZHANG, Rong YU, Li JIANG, Hui TIAN, Yuan WU. Stackelberg game based energy optimization for unmanned aerial vehicle assisted wireless-powered Internet of things [J]. Journal on Communications, 2022, 43(12): 146-156.
[15]	Lian XIANG, Hongfeng PAN, Shulin JIN, Weidong SHAO. Research on inter-core crosstalk characteristics of real multi-core fibers with multi-core excitation [J]. Journal on Communications, 2022, 43(11): 233-241.