Abstract
In this paper, we present and evaluate a novel multilevel hybrid-chaotic oscillator. The proposed generalized multilevel-hybrid chaotic oscillator (GM-HCO) was created by combining a multilevel discrete function generated from user data with a continuous function having a damping factor greater than ln(2) to achieve variable rates and adaptive carrier frequencies. Improved spectral efficiency and lower complexity of the transceiver compared with differentially coherent systems were achieved by multilevel signals at the transmitter and a matched filter at the receiver. An exact analytical solution for the generalized fixed basis function and the impulse response of the matched filter were also derived. The bit error rate (BER) expression of the GM-HCO was derived for two levels. It was found that the noise performance of the proposed system was better than a hybrid chaotic system based on forward time and differential chaos shift keying (DCSK). A comprehensive set of simulations were carried out to evaluate the performance of the proposed system with chaotic communication systems in the presence of additive white Gaussian noise (AWGN). The performance of the proposed system was comparable with that of conventional communication systems. The results demonstrate that the proposed system can offer better noise performance than existing chaotic communication systems, and it also offers variable transmitter frequencies and improved spectral efficiency. Noise-like behavior of the chaotic signals provides an additional layer of security at the physical layer compared with conventional (sinusoidal) communication systems.
Highlights
Existing frequency up/down conversions and power amplification stages in conventional wireless communication systems increase the costs of the design, demand more space and weight, and consume more energy
5 Discussion Since the generalized multilevel-hybrid chaotic oscillator (GM-HCO) is based on reverse time, a damping factor offers an opportunity to achieve variable throughput, higher operating frequency, low-power consumption, and low-cost to design compared with hybrid chaotic systems based on forward time
Its noise performance will be degraded if the number of levels is increased, its transmitted signal is chaotic compared with periodic communication systems under additive white Gaussian noise (AWGN)
Summary
Existing frequency up/down conversions and power amplification stages in conventional wireless communication systems increase the costs of the design, demand more space and weight, and consume more energy. Non-linear power amplification stages distort the base-band signal and degrade the quality of the signal. These are important challenges for wearable and internet of things (IoT) devices and sensor networks. Dukhan et al EURASIP Journal on Wireless Communications and Networking (2020) 2020:23 existing dogma in this field, by simulating weather patterns using three simple equations. It was a breakthrough and the beginning of a new notion and development of deep insights into expressing highly complex chaotic behavior using simple equations. The representation of complex systems including living [10, 11] and non-living systems [12, 13] has become achievable
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