Abstract
In this paper, an electronic implementation of a non-autonomous nonlinear transistor circuit is presented. This nonlinear circuit topology requires a minimal number of components, which consists of two resistors, two capacitors, and a single NPN bipolar junction transistor (BJT). This topology is of interest because it is relatively simple to construct and could be used for potential applications such as random number generators (RNGs) or noise signal generators (NSGs). The transistor portion of the circuit was analyzed using the Ebers-Moll model for a BJT. Using this model, time domain and phase space plots that qualitatively match the original systems dynamics were created. This model was also used to create bifurcation diagrams of the base voltage versus both frequency and amplitude, where periodic and chaotic solutions exist. The hardware realization was built using commercial-off-the-shelf (COTS) components with two different printed circuit board (PCB) designs. This PCB included the forcing function on the board with the transistor circuit. This circuit topology functioned over a wide range of frequencies, with an upper limit of approximately 5.1 MHz. Many potential applications could benefit from this high operation frequency.
Highlights
Chaotic electronics is an emerging field of interest due to the wide range of possible applications, including random number generation (RNG),1,2 communication systems,3,4 ranging for vehicle collision detection5 and radar systems,6 and noise signal generators (NSGs).7 Often, the chaotic oscillator topologies of interest are demonstrated at very low frequencies on non-permanent bread or brass board prototypes.8 While this is effective at establishing the viability of the design in hardware, it does not take full advantage of the inherent properties of these chaotic systems due to the low frequency of operation.Many of these applications, especially communication systems, radar, and random number generators (RNGs), all benefit from a very high frequency of operation
The speed at which an RNG can generate bits is related to its fundamental frequency
There have been a wide range of nonlinear circuits with a relatively simple topology and minimal component count
Summary
Chaotic electronics is an emerging field of interest due to the wide range of possible applications, including random number generation (RNG), communication systems, ranging for vehicle collision detection and radar systems, and noise signal generators (NSGs). Often, the chaotic oscillator topologies of interest are demonstrated at very low frequencies on non-permanent bread or brass board prototypes. While this is effective at establishing the viability of the design in hardware, it does not take full advantage of the inherent properties of these chaotic systems due to the low frequency of operation. The chaotic oscillator topologies of interest are demonstrated at very low frequencies on non-permanent bread or brass board prototypes.. The chaotic oscillator topologies of interest are demonstrated at very low frequencies on non-permanent bread or brass board prototypes.8 While this is effective at establishing the viability of the design in hardware, it does not take full advantage of the inherent properties of these chaotic systems due to the low frequency of operation. Many of these applications, especially communication systems, radar, and RNGs, all benefit from a very high frequency of operation. The frequency scaling capabilities of this circuit topology in hardware was analyzed
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