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Christian Nwachioma

Publications and source records attributed to Christian Nwachioma.

6 recordsLinked to original sources

FPGA prototyping of synchronized chaotic map for UAV secure communication

We propose a design that uses the principle of chaos for UAV secure communication. A UAV identified as an aerial base station communicates with a ground base station over an RF channel. The communication units have dynamics based on the logistic map. The map is chaotic in the appropriate parameter space. Its states are non-periodic, broadband, and noise-like in the frequency domain. They are useful for spreading information during transmission, making it difficult for an eavesdropper to recover the modulated message since state prediction is ultimately impossible. To retrieve it, we propose a variable feedback controller. It asymptotically stabilizes the error dynamics when the information source is off. During transmission, the controller synchronizes the units such that the error contains signatures of the information signal. Therefore, the information signal is retrievable by a suitable detection mechanism. Security depends on the confidentiality of the map, the variable feedback controller, including its scale factor and bounded feedback gain, and the designer`s choice of invertible function for use in the scrambling and descrambling process. Also, the method is less prone to jamming attacks and multipath effects as the broadband spectrum can be used to randomly select RF channels. It uses only a few simple algorithms, including a correlation summation and a detection mechanism. The algorithms collect subsamples of the received signal sequences and averages over each subsample length. The method requires minimal programming efforts and low hardware resource utilization. It is energy-efficient, which is a vital consideration for any UAV security model. Moreover, we realize a prototype of the communication system on field-programmable gate arrays. We presented a digital design of the secure communication system involving the transmission of bitstreams between the ABS and GBS.

eess.SP↗

Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot

This paper presents a new chaotic system having four attractors, including two fixed point attractors and two symmetrical chaotic strange attractors. Dynamical properties of the system, viz. sensitive dependence on initial conditions, Lyapunov spectrum, strangeness measure, attraction basin, including the class and size of it, existence of strange attractor, bifurcation analysis, multistability, electronic circuit design, and hardware implementation, are rigorously treated. Numerical computations are used to compute the basin of attraction and show that the system has a far-reaching composite basin of attraction. Such a basin of attraction is vital for engineering applications. Moreover, a circuit model of the system is realized using analog electronic components. A procedure is detailed for converting the system parameters into corresponding electronic component values such as the circuital resistances while ensuring the dynamic ranges are bounded. Besides, the system is used as the source of control inputs for independent navigation of a differential drive mobile robot, which is subject to the Pfaffian velocity constraint. Due to the properties of sensitivity on initial conditions and topological mixing, the robot's path becomes unpredictable and guaranteed to scan the workspace, respectively.

cs.RO↗

Cycle and bit accurate chaos-based communication system

Adaptive control is a control method that has an adaptation mechanism that reacts to model uncertainties. The control method is used to realized synchronization of a new chaotic system in a unidirectional master-slave topology. The master chaotic system and the slave system are adopted as transmitter and receiver, respectively for the purpose of secure communications. Both analog and digital designs are realized. The digital system is a cycle and bit accurate design having a system rate of $450MHz$. The design is targeted at an Artix-7 Nexys 4 FPGA. The transmitters are accordingly modulated by analog signals and fixed-point signals of different resolutions, sampling and frequencies. Although the adaptive controller tends to react on introduction of a modulating signal, we show that with a special detection mechanism or filtering including exponential smoothing, the choice of which depends on the nature of the modulating signal, it is possible to recover the modulating signal at the receiver. Moreover, chaos-based spectrum-spectrum communication systems are realized based on adaptive synchronization of the new chaotic system. Furthermore, in order to ascertain the robustness of the adaptive controller, the modulated signal is transmitted via an awgn channel and the probability of error and bit-error-rate (BER) computed by sweeping across sets of SNR and noise power values in a Monte Carlo simulation. It turns out that the probabilities of error or error rates are reasonably low for effective communication through mediums with certain noise conditions. Hence, the adaptive controlled communication system can be robust.

eess.SP↗

Chaos-based spread-spectrum communication system

Adaptive control is a control method that has an adaptation mechanism that reacts to model uncertainties. The control method is used to realized synchronization of a new chaotic system in a unidirectional master-slave topology. The master chaotic system and the slave system are adopted as transmitter and receiver, respectively for the purpose of secure communications. Both analog and digital designs are realized. The digital system is a cycle and bit accurate design having a system rate of $450MHz$. The design is targeted at an Artix-7 Nexys 4 FPGA. The transmitters are accordingly modulated by analog signals and fixed-point signals of different resolutions, sampling and frequencies. Although the adaptive controller tends to react on introduction of a modulating signal, we show that with a special detection mechanism or filtering including exponential smoothing, the choice of which depends on the nature of the modulating signal, it is possible to recover the modulating signal at the receiver. Moreover, chaos-based spectrum-spectrum communication systems are realized based on adaptive synchronization of the new chaotic system. Furthermore, in order to ascertain the robustness of the adaptive controller, the modulated signal is transmitted via an awgn channel and the probability of error and bit-error-rate (BER) computed by sweeping across sets of SNR and noise power values in a Monte Carlo simulation. It turns out that the probabilities of error or error rates are reasonably low for effective communication through mediums with certain noise conditions. Hence, the adaptive controlled communication system can be robust.

eess.SP↗

Path Equations In Absolute Parallelism Space

Riemannian and Absolute Parallelism (AP) geometries are discussed. A lavish treatment of path equations in the AP-space using the Bazanski-type Lagrangian is presented; We write down an expression that is absolutely conserved along a curve in the AP-space and show that it gives the same path equations as obtained using the conventional Lagrangian formalism. We attribute physical interpretations to the resultant path equations and we show that the spin-torsion interaction is an inherent property of the AP-space.

gr-qc↗

A Single Equation Of Gravity And Electromagnetism On Parallelizable Manifold Using Dolan-McCrea Variational Method

The crucial but undocumented Dolan-McCrea variational method is richly applied. Using the said method, we analytically derived a field equation comprising entirely of geometric structures and we investigate how effectively it describes gravitational and electromagnetic phenomena. The procedure we adopted involved constructing a scalar invariant as was the case for Einstein's General Relativity (GR) except that the scalar of parameterized Absolute Parallelism geometey consists of the Ricci scalar plus an additional term, which is essentially the contortion. %Based on earlier discourse, a good starting point for this section would be the connections of the PAP-space.

gr-qc↗