A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter

State estimation (SE) is well-established at the transmission system level of the electricity grid, where it has been in use for the last few decades and is a most vital component of energy management systems employed in the monitoring and control centers of electric transmission systems. However, its use for the monitoring and control of power distribution systems (DSs) has not yet been widely implemented because DSs have been majorly passive with uni-directional power flows. This scenario is now changing with the advent of smart grid, which is changing the nature of electric distribution networks by embracing more dispersed generation, demand responsive loads, and measurements devices with different data rates. Thus, the development of distribution system state estimation (DSSE) tool is inevitable for the implementation of protection, optimization, and control techniques, and various other features envisioned by the smart grid concept. Due to the inherent characteristics of DS different from those of transmission systems, transmission system state estimation (TSSE) is not applicable directly to DSs. This paper is an attempt to present the state-of-the-art on DSSE as an enabler function for smart grid features. It broadly reviews the development of DSSE, challenges faced by its development, and various DSSE algorithms. Additionally, it identifies some future research lines for DSSE.

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Distribution system state estimation-A step towards smart grid

https://profdoc.um.ac.ir/articles/a/203475.pdf

An application of Chen system for secure chaotic communication based on extended Kalman filter and multi-shift cipher algorithm

A chaos secure communication scheme based on multiplication modulation

On the fractional-order extended Kalman filter and its application to chaotic cryptography in noisy environment

A novel chaotic digital communication scheme is presented. The noise-like signals generated by chaotic systems with different parameters are used to represent the binary digital signals on the transmitter side in secure digital communication systems. On the receiver side, the digital message is recovered by employing an Extended Kalman Filter-based parameter estimator. This scheme provides a methodology of chaotic spread spectrum communication. One major advantage of the proposed chaotic communication scheme is that the receiver does not need the knowledge of the initial condition of the chaotic system state used in modulation and the signals transmitted through the channel is broadband and noise-like. Single and double bit implementations of this scheme are discussed. The single-bit scheme is compared to an earlier proposed one. The Bit Error Rate performances under different ambient noise levels are evaluated to demonstrate the feasibility of this scheme.

https://ieeexplore.ieee.org/iel5/8665/27471/01223423.pdf

A chaotic secure communication scheme with extended Kalman filter based parameter estimation

A generalized performance evaluation method is presented for extended Kalman filter based state estimation of first order nonlinear dynamic systems The first order nonlinear dynamic systems are placed in three categorizes in terms of the upper bound of the absolute values of the derivatives of the nonlinear functions According to the proposed theoretical analysis, it is shown that different state estimation performances are achieved by applying the extended Kalman filter to the first order nonlinear systems in these three categorizes The steady state mean square error performance of the filter is presented explicitly in terms of the bounds on the nonlinearity and noise variance The advantage of this performance evaluation method is that the convergence property of estimation error variance can be easily concluded from the system nonlinearity before its implementation This provides insight into what is going to happen in applications, eg for dynamic systems used in chaotic synchronization The simulation of several different nonlinear dynamic systems shows the effectiveness of the proposed performance evaluation criteria

Performance evaluation of extended Kalman filter based state estimation for first order nonlinear dynamic systems

A novel demodulation scheme for a chaotically modulated digital communication system is presented. The noise-like signals generated by chaotic systems with different parameters are used to modulate the binary digital signals on the transmitter side in secure digital communication systems. On the receiver side, two Extended Kalman Filters are employed to extract the digital information from the received signals by estimating their parameters. One major advantage of the proposed demoduhtion scheme is that the receiver does not need the knowledge of the initial condition of the chaotic system state used in modulation. The Bit Error Rate performances as a function of the signal to noise ratios for three different first-order chaotic maps with three different modulation code lengths are compared. The simulation results demonstrate the feasibility of this scheme.

http://ieeexplore.ieee.org/iel5/8775/27786/01239822.pdf

A demodulation scheme based on state estimation for chaotic digital communication

First, the one-dimensional tent map is generalized to extend the range of parameters for chaotic behavior. Then, a chaotic spread spectrum communication scheme is proposed by employing a generalized symmetric tent map to implement high efficiency binary message modulation. Binary bit streams are represented by noise-like and broadband chaotic sequences generated from a symmetric tent map with different parameter sets. Generalizing the tent map by finding the largest parameter set that drives this map to chaos allows modulation of multiple bits by one chaotic sequence at a time, thus the message carrying capacity is greatly improved in the proposed system. The original binary message is recovered by employing an extended Kalman filter to estimate the state of the chaotic system and identify the parameters of the received noise contaminated chaotic sequence, therefore extracting the binary message by matching the parameter sets with the corresponding binary bit stream. Bit error rate performance is presented in simulation studies.

A generalization of tent map and its use in EKF based chaotic parameter modulation/demodulation

An M-ary modulation scheme for chaotic spread spectrum communication is proposed by employing a generalized tent map to modulate binary messages. Binary bit streams are represented by noise-like and broadband chaotic sequences generated from a generalized tent map with different parameter sets. Due to the broad parameter range that can drive this kind of generalized tent map to chaotic behavior, multiple bits can be represented by one chaotic sequence with a specific parameter set. The original binary message is recovered by a minimum phase space distance (MPSD) algorithm to determine the parameters of the received noise contaminated chaotic sequence, thus extract the binary message by matching the parameter sets with the corresponding binary bit stream.

Huawei Ruan

Papers

A chaotic secure communication scheme with extended Kalman filter based parameter estimation

Performance evaluation of extended Kalman filter based state estimation for first order nonlinear dynamic systems

A demodulation scheme based on state estimation for chaotic digital communication

A generalization of tent map and its use in EKF based chaotic parameter modulation/demodulation

A Minimum Phase Space Distance method for the demodulation of M-ary chaotic parameter modulation