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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

Ruwu Xiao 1,, , Geng Li 1,2, and  Yuping Zhao 1,2,

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.

Keywords: Full duplex, self-interference cancellation, code-division duplex, chaotic sequence, CDD.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.
Citation: Ruwu Xiao, Geng Li, Yuping Zhao. On the design of full duplex wireless system with chaotic sequences. Discrete and 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.

[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. 

[3]

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

[4]

M. Duarte, A. Sabharwal, V. Aggarwal, R. Jana, K. K. Ramakrishnan, C. 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. 

[5]

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

[6]

Y. Hua, Y. Ma, A. Gholian, Y. Li, A. 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. 

[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. 

[8]

B. Jiao, M. Wen, M. Ma and H. V. Poor, Spatial modulated full duplex, IEEE Wireless Communications Letters, 3 (2014), 641-644. 

[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.

[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.

[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.

[12]

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

[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. 

[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.

[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.

[16]

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

[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.

[18]

Y. Shen, J. 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. 

[19]

X. H. Tang, P. 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. 

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.

[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. 

[3]

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

[4]

M. Duarte, A. Sabharwal, V. Aggarwal, R. Jana, K. K. Ramakrishnan, C. 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. 

[5]

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

[6]

Y. Hua, Y. Ma, A. Gholian, Y. Li, A. 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. 

[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. 

[8]

B. Jiao, M. Wen, M. Ma and H. V. Poor, Spatial modulated full duplex, IEEE Wireless Communications Letters, 3 (2014), 641-644. 

[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.

[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.

[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.

[12]

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

[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. 

[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.

[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.

[16]

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

[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.

[18]

Y. Shen, J. 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. 

[19]

X. H. Tang, P. 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. 

Figure 1.  Application Scenario of the CDD System
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Figure 2.  The block-correlation performance of the OG code
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Figure 3.  The block-correlation performance of the OC code
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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
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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$$W$Max. $Q$ $Q$
CDD128+881616
Async-CDD with OG code128-12816
Async-CDD with OC code128-12816
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$N$$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
Table Options

Download as excel

$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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