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August & September  2019, 12(4&5): 783-793. doi: 10.3934/dcdss.2019052

On the design of full duplex wireless system with chaotic sequences

1. 

School of Electronics Engineering and Computer Science, Peking University, Beijing, China

2. 

Department of Computer Science, Yale University, New Haven, CT, USA

* Corresponding author: Ruwu Xiao

Received  September 2017 Revised  January 2018 Published  November 2018

Fund Project: The first author is supported by the NNSFC under grant No. 61371072.

This paper proposes a novel approach for full duplex using chaotic sequences which is known as the asynchronous code-division duplex (Async-CDD) system. The Async-CDD system can transmit and receive signals at the same time and in the same frequency channel without time slot synchronization. The data rate of the Async-CDD system is 8 times higher than the conventional CDD system and is the same as a non-spreading system. The property of low block cross-correlation of the chaotic sequence allows the Async-CDD system achieve duplex interference suppression at any duplex delay. And the huge number of available code words/blocks of the chaotic sequence allows the Async-CDD system increase the data rate by increasing the number of multiplexed sub-channels. When both of the code length of the orthogonal chaotic code and the number of multiplexed sub-channels are 128, the orthogonal chaotic code provides 30.40 dBc self-interference suppression in average, which is 6.99 dB better than the orthogonal Gold code.

Citation: Ruwu Xiao, Geng Li, Yuping Zhao. On the design of full duplex wireless system with chaotic sequences. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 783-793. doi: 10.3934/dcdss.2019052
References:
[1]

A. L. A. Aboltins, Selection and performance analysis of chaotic spreading sequences for DS-CDMA systems, in Advances in Wireless and Optical Communications (RTUWO), 2016, 38–45. Google Scholar

[2]

E. Ahmed and A. M. Eltawil, All-digital self-interference cancellation technique for full-duplex systems, IEEE Transactions on Wireless Communications, 14 (2015), 3519-3532.   Google Scholar

[3]

M. DuarteC. Dick and A. Sabharwal, Experiment-driven characterization of full-duplex wireless systems, IEEE Transactions on Wireless Communications, 11 (2012), 4296-4307.   Google Scholar

[4]

M. DuarteA. SabharwalV. AggarwalR. JanaK. K. RamakrishnanC. W. Rice and N. K. Shankaranarayanan, Design and characterization of a full-duplex multiantenna system for WiFi networks, IEEE Transactions on Vehicular Technology, 63 (2014), 1160-1177.   Google Scholar

[5]

E. EverettA. Sahai and A. Sabharwal, Passive self-interference suppression for full-duplex infrastructure nodes, IEEE Transactions on Wireless Communications, 13 (2014), 680-694.   Google Scholar

[6]

Y. HuaY. MaA. GholianY. LiA. C. Cirik and P. Liang, Radio self-interference cancellation by transmit beamforming, all-analog cancellation and blind digital tuning, Signal Processing, 108 (2015), 322-340.   Google Scholar

[7]

F. Jian and S. Dandan, Complex Network Theory and Its Application Research on P2P Networks, Applied Mathematics and Nonlinear Sciences, 1 (2016), 45-52.   Google Scholar

[8]

B. JiaoM. WenM. Ma and H. V. Poor, Spatial modulated full duplex, IEEE Wireless Communications Letters, 3 (2014), 641-644.   Google Scholar

[9]

X. Jin, M. Ma, B. Jiao and W. C. Y. Lee, Studies on spectral efficiency of the cdd system, in Vehicular Technology Conference Fall, 2009, 1–5. Google Scholar

[10]

A. S. B. T. Krishna, Generation of biphase sequences using different logistic maps, in International Conference on Communication and Signal Processing (ICCSP), 2016, 2102–2104. Google Scholar

[11]

P. Kumar and S. Chakrabarti, A new overloading scheme for cellular DS-CDMA using orthogonal Gold codes, in Vehicular Technology Conference (VTC), 2008, 1042–1046. Google Scholar

[12]

W. C. Y. Lee, The most spectrum-efficient duplexing system: CDD, IEEE Communications Magazine, 40 (2002), 163–166. Google Scholar

[13]

A. Murua and J. Sanz-Serna, Vibrational resonance: a study with high-order word-series averaging, Applied Mathematics and Nonlinear Sciences, 1 (2016), 239-246.   Google Scholar

[14]

M. Pal and S. Chattopadhyay, A novel orthogonal minimum cross-correlation spreading code in CDMA system, in International Conference on Emerging Trends in Robotics and Communication Technologies, 2010, 80–84. Google Scholar

[15]

J. S. Pereira and H. J. A. D. Silva, M-ary mutually orthogonal complementary gold codes, in Signal Processing Conference, 2009 European, 2009, 1636–1640. Google Scholar

[16]

J. G. Proakis, Digital Communications Fourth Edition, McGraw-Hill Companies, Inc., New York, NY, 1998. Google Scholar

[17]

S. Shao, X. Quan, Y. Shen and Y. Tang, Effect of phase noise on digital self-interference cancellation in wireless full duplex, 2759–2763. Google Scholar

[18]

Y. ShenJ. Zhou and Y. Tang, Digital self-interference cancellation in wireless co-time and co-frequency full-duplex system, Wireless Personal Communications, 82 (2015), 2557-2565.   Google Scholar

[19]

X. H. TangP. Z. Fan and S. Matsufuji, Lower bounds on correlation of spreading sequence set with low or zero correlation zone, Electronics Letters, 36 (2002), 551-552.   Google Scholar

show all references

References:
[1]

A. L. A. Aboltins, Selection and performance analysis of chaotic spreading sequences for DS-CDMA systems, in Advances in Wireless and Optical Communications (RTUWO), 2016, 38–45. Google Scholar

[2]

E. Ahmed and A. M. Eltawil, All-digital self-interference cancellation technique for full-duplex systems, IEEE Transactions on Wireless Communications, 14 (2015), 3519-3532.   Google Scholar

[3]

M. DuarteC. Dick and A. Sabharwal, Experiment-driven characterization of full-duplex wireless systems, IEEE Transactions on Wireless Communications, 11 (2012), 4296-4307.   Google Scholar

[4]

M. DuarteA. SabharwalV. AggarwalR. JanaK. K. RamakrishnanC. W. Rice and N. K. Shankaranarayanan, Design and characterization of a full-duplex multiantenna system for WiFi networks, IEEE Transactions on Vehicular Technology, 63 (2014), 1160-1177.   Google Scholar

[5]

E. EverettA. Sahai and A. Sabharwal, Passive self-interference suppression for full-duplex infrastructure nodes, IEEE Transactions on Wireless Communications, 13 (2014), 680-694.   Google Scholar

[6]

Y. HuaY. MaA. GholianY. LiA. C. Cirik and P. Liang, Radio self-interference cancellation by transmit beamforming, all-analog cancellation and blind digital tuning, Signal Processing, 108 (2015), 322-340.   Google Scholar

[7]

F. Jian and S. Dandan, Complex Network Theory and Its Application Research on P2P Networks, Applied Mathematics and Nonlinear Sciences, 1 (2016), 45-52.   Google Scholar

[8]

B. JiaoM. WenM. Ma and H. V. Poor, Spatial modulated full duplex, IEEE Wireless Communications Letters, 3 (2014), 641-644.   Google Scholar

[9]

X. Jin, M. Ma, B. Jiao and W. C. Y. Lee, Studies on spectral efficiency of the cdd system, in Vehicular Technology Conference Fall, 2009, 1–5. Google Scholar

[10]

A. S. B. T. Krishna, Generation of biphase sequences using different logistic maps, in International Conference on Communication and Signal Processing (ICCSP), 2016, 2102–2104. Google Scholar

[11]

P. Kumar and S. Chakrabarti, A new overloading scheme for cellular DS-CDMA using orthogonal Gold codes, in Vehicular Technology Conference (VTC), 2008, 1042–1046. Google Scholar

[12]

W. C. Y. Lee, The most spectrum-efficient duplexing system: CDD, IEEE Communications Magazine, 40 (2002), 163–166. Google Scholar

[13]

A. Murua and J. Sanz-Serna, Vibrational resonance: a study with high-order word-series averaging, Applied Mathematics and Nonlinear Sciences, 1 (2016), 239-246.   Google Scholar

[14]

M. Pal and S. Chattopadhyay, A novel orthogonal minimum cross-correlation spreading code in CDMA system, in International Conference on Emerging Trends in Robotics and Communication Technologies, 2010, 80–84. Google Scholar

[15]

J. S. Pereira and H. J. A. D. Silva, M-ary mutually orthogonal complementary gold codes, in Signal Processing Conference, 2009 European, 2009, 1636–1640. Google Scholar

[16]

J. G. Proakis, Digital Communications Fourth Edition, McGraw-Hill Companies, Inc., New York, NY, 1998. Google Scholar

[17]

S. Shao, X. Quan, Y. Shen and Y. Tang, Effect of phase noise on digital self-interference cancellation in wireless full duplex, 2759–2763. Google Scholar

[18]

Y. ShenJ. Zhou and Y. Tang, Digital self-interference cancellation in wireless co-time and co-frequency full-duplex system, Wireless Personal Communications, 82 (2015), 2557-2565.   Google Scholar

[19]

X. H. TangP. Z. Fan and S. Matsufuji, Lower bounds on correlation of spreading sequence set with low or zero correlation zone, Electronics Letters, 36 (2002), 551-552.   Google Scholar

Figure 1.  Application Scenario of the CDD System
Figure 2.  The block-correlation performance of the OG code
Figure 3.  The block-correlation performance of the OC code
Table 1.  The Average Duplex Self-interference Suppression Performance with Different $N$
Code Type$N$ $Q$ ${C}_{aver}$ (dBc) ${C}_{worst}$ (dBc)
OG12812823.2818.99
51251229.8027.21
1024102432.6831.18
OC12812833.7924.69
25625637.1126.35
51251239.7726.95
1024102442.6525.29
Code Type$N$ $Q$ ${C}_{aver}$ (dBc) ${C}_{worst}$ (dBc)
OG12812823.2818.99
51251229.8027.21
1024102432.6831.18
OC12812833.7924.69
25625637.1126.35
51251239.7726.95
1024102442.6525.29
Table 2.  System parameter of the compared system
$N$$W$Max. $Q$ $Q$
CDD128+881616
Async-CDD with OG code128-12816
Async-CDD with OC code128-12816
$N$$W$Max. $Q$ $Q$
CDD128+881616
Async-CDD with OG code128-12816
Async-CDD with OC code128-12816
Table 3.  The self-interference suppression performance with different delay
$Q$$N$The number of $C(p, q)$
$\leq$ 24 dBc
The number of $C(p, q)$
$\leq$ 28 dBc
The number of $C(p, q)$
$\leq$ 30 dBc
CDD with161280168256
ZCZ code
Async-CDD16128225256256
with OG code
Async-CDD1612801033
with OC code
$Q$$N$The number of $C(p, q)$
$\leq$ 24 dBc
The number of $C(p, q)$
$\leq$ 28 dBc
The number of $C(p, q)$
$\leq$ 30 dBc
CDD with161280168256
ZCZ code
Async-CDD16128225256256
with OG code
Async-CDD1612801033
with OC code
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