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Oscillations In An LC Circuit01:30

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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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A clamper circuit, also known as a DC restorer, represents a specialized variant of the rectifier circuit, notable for its method of taking the output across the diode rather than the capacitor. This configuration lends to several distinctive applications, particularly in handling square wave inputs.
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Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
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Field-Programmable Gate Array-Based Chaos Oscillator Implementation for Analog-Discrete and Discrete-Analog Chaotic

Ruslans Babajans1, Darja Cirjulina1, Deniss Kolosovs1

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Summary

This study evaluates analog chaos oscillators on FPGAs for hybrid communication systems. It achieves analog-discrete and discrete-analog chaotic synchronization, advancing chaos-based modulation for wireless sensor networks.

Keywords:
chaoschaos oscillatorchaotic modelingchaotic synchronizationfield-programmable gate arrays

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Area of Science:

  • Electrical Engineering
  • Computer Science
  • Applied Mathematics

Background:

  • Chaos-based communication offers unique advantages for secure and efficient data transmission.
  • Hybrid systems combining hardware chaos oscillators and FPGA-based models present a novel approach.
  • Wireless Sensor Networks (WSNs) require robust and low-power communication solutions.

Purpose of the Study:

  • To evaluate the behavior of analog chaos oscillators implemented on Field-Programmable Gate Arrays (FPGAs).
  • To demonstrate analog-discrete and discrete-analog chaotic synchronization for hybrid chaos-based communication systems.
  • To advance the realization of chaos-based modulation schemes for Wireless Sensor Network (WSN) applications.

Main Methods:

  • Derivation of a fixed-point arithmetic model for Vilnius and RC chaos oscillators using Euler-Cromer integration.
  • Implementation of the derived model in MATLAB and subsequent transfer to VHDL for digital design.
  • Synthesis and compilation of the VHDL design onto an FPGA chip for experimental validation.

Main Results:

  • Successful implementation and evaluation of analog chaos oscillators on FPGA hardware.
  • Demonstration of analog-discrete and discrete-analog chaotic synchronization using the Pecora-Carroll method.
  • Validation of the hybrid approach for potential WSN communication applications.

Conclusions:

  • FPGA implementation of chaos oscillators is feasible and effective for hybrid communication systems.
  • Achieved chaotic synchronization paves the way for practical chaos-based modulation schemes.
  • This research contributes to the development of advanced communication technologies for WSNs.