On the design of full duplex wireless system with chaotic sequences

Ruwu Xiao; Geng Li; Yuping Zhao

doi:10.3934/dcdss.2019052

Article Contents

2019, Volume 12, Issue 4&5: 783-793. Doi: 10.3934/dcdss.2019052 open access

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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
* Corresponding author: Ruwu Xiao

Received: September 2017

Revised: January 2018

Published: March 2019

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

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Abstract

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.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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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)
OG	128	128	23.28	18.99
	512	512	29.80	27.21
	1024	1024	32.68	31.18
OC	128	128	33.79	24.69
	256	256	37.11	26.35
	512	512	39.77	26.95
	1024	1024	42.65	25.29

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Table 2. System parameter of the compared system

	$N$	$W$	Max. $Q$	$Q$
CDD	128+8	8	16	16
Async-CDD with OG code	128	-	128	16
Async-CDD with OC code	128	-	128	16

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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 with	16	128	0	168	256
ZCZ code
Async-CDD	16	128	225	256	256
with OG code
Async-CDD	16	128	0	10	33
with OC code

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