Chaotic Synchronization in Discrete-Time Systems Connected by Bandlimited Channels

In additive white Gaussian noise channel, chaos has been shown to be the optimal coherent communication waveform in the sense of using a very simple matched filter to maximize the signalto-noise ratio. Recently, Lyapunov exponent spectrum of the chaotic signals after being transmitted through a wireless channel has been shown to be unaltered, paving the way for wireless communication using chaos. In wireless communication systems, inter-symbol interference caused by multipath propagation is one of the main obstacles to achieve high bit transmission rate and low bit-error rate (BER). How to resist the multipath effect is a fundamental problem in a chaos-based wireless communication system (CWCS). In this paper, a CWCS is built to transmit chaotic signals generated by a hybrid dynamical system and then to filter the received signals by using the corresponding matched filter to decrease the noise effect and to detect the binary information. We find that the multipath effect can be effectively resisted by regrouping the return map of the received signal and by setting the corresponding threshold based on the available information. We show that the optimal threshold is a function of the channel parameters and of the information symbols. Practically, the channel parameters are time-variant, and the future information symbols are unavailable. In this case, a suboptimal threshold is proposed, and the BER using the suboptimal threshold is derived analytically. Simulation results show that the CWCS achieves a remarkable competitive performance even under inaccurate channel parameters.

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“…. Equations (19) and (20) give the analytical BER using the optimal threshold and the suboptimal threshold, respectively.…”

Section: Chaos-based Wireless Communication Systemmentioning

confidence: 99%

Chaos-based wireless communication resisting multipath effects

Yao

Ren

et al. 2017

Phys. Rev. E

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“…In this case, E (i) b can be assumed as constant. Thus our BER expression is given by (10) where the computed variance is from (19).…”

Section: Performance Analysis Of the Anc-ss Systemmentioning

confidence: 99%

Analog network coding for multi-user spread-spectrum communication systems

Kaddoum

Giard

2014

2014 IEEE Wireless Communications and Networking Conference (WCNC)

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This work presents another look at an analog network coding scheme for multi-user spread-spectrum communication systems. Our proposed system combines coding and cooperation between a relay and users to boost the throughput and to exploit interference. To this end, each pair of users, A and B, that communicate with each other via a relay R shares the same spreading code. The relay has two roles, it synchronizes network transmissions and it broadcasts the combined signals received from users. From user B's point of view, the signal is decoded, and then, the data transmitted by user A is recovered by subtracting user B's own data. We derive the analytical performance of this system for an additive white Gaussian noise channel with the presence of multi-user interference, and we confirm its accuracy by simulation.

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“…For example, cluster synchronization, pinning synchronization, projective synchronization, impulsive synchronization, adaptive synchronization, and many other outstanding research works have been presented (e.g., [8][9][10][11]). Among all kinds of synchronization schemes, projective synchronization is the best known one because of its wide use in signal processing [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

Yang

Qiu

et al. 2015

Entropy

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This paper addresses the problem of projective exponential synchronization for a class of complex spatiotemporal networks with multiple time delays satisfying the homogeneous Neumann boundary conditions, where the network is modeled by coupled partial differential-difference equations (PDDEs). A distributed proportional-spatial derivative (P-sD) controller is designed by employing Lyapunov's direct method and Kronecker product. The controller ensures the projective exponential synchronization of the PDDE network. The main result of this paper is presented in terms of standard linear matrix inequality (LMI). A numerical example is provided to show the effectiveness of the proposed design method.

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Chaotic Synchronization in Discrete-Time Systems Connected by Bandlimited Channels

Cited by 26 publications

References 16 publications

Chaos-based wireless communication resisting multipath effects

Chaos-based wireless communication resisting multipath effects

Analog network coding for multi-user spread-spectrum communication systems

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

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