High frequency anharmonic oscillator for the generation of broadband deterministic noise
First Claim
1. An oscillator for generating a chaotic signal, the oscillator comprising,a generator for providing an independent forcing signal, the independent forcing signal is an independent forcing function of time,a passive circuit coupled to the generator for receiving the independent forcing signal, for receiving a dependent controlling signal, the passive circuit comprises a first energy storage element and a second energy storage element for providing a sensed signal and the chaotic signal,a nonlinear circuit coupled to the passive circuit for defining a piecewise linear potential function of the sensed signal for providing the dependent controlling signal, andan active circuit coupled to the passive circuit and to the nonlinear circuit forming multiple feedback paths for controlling the piecewise linear potential function.
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Abstract
A high frequency anharmonic oscillator provides a broad band chaotic oscillation with a noise-like spectra. The oscillator output signal is suitable for modulation by data providing for improved secure communication. The chaotic oscillator is based upon a forced second order Duffing equation that is tolerant of delay in the feedback path for high frequency operation.
22 Citations
20 Claims
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1. An oscillator for generating a chaotic signal, the oscillator comprising,
a generator for providing an independent forcing signal, the independent forcing signal is an independent forcing function of time, a passive circuit coupled to the generator for receiving the independent forcing signal, for receiving a dependent controlling signal, the passive circuit comprises a first energy storage element and a second energy storage element for providing a sensed signal and the chaotic signal, a nonlinear circuit coupled to the passive circuit for defining a piecewise linear potential function of the sensed signal for providing the dependent controlling signal, and an active circuit coupled to the passive circuit and to the nonlinear circuit forming multiple feedback paths for controlling the piecewise linear potential function.
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15. An oscillator for generating a chaotic signal, the oscillator comprising,
a generator for providing an independent forcing signal, a passive circuit coupled to the generator for receiving the independent forcing signal, for receiving a dependent controlling signal, and for providing the chaotic signal, the passive circuit comprises an inductor and a capacitor and a first resistor coupled in parallel, the inductor provides a sensed signal, the capacitor provides the chaotic signal, a nonlinear circuit coupled to the passive circuit for defining a piecewise linear potential function of the sensed signal and for providing the dependent controlling signal, the piecewise linear potential function comprises an inner region having a negative slope and two outer regions each having a positive slope, the dependent signal is a product of the sensed signal multiplied by a derivative of the piecewise linear potential function of the sensed signal, and an active circuit coupled to the passive circuit and to the nonlinear circuit forming multiple feedback paths for controlling the piecewise linear potential function.
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18. An oscillator for generating a chaotic signal, the oscillator comprising,
a generator for providing an independent forcing signal, a passive circuit coupled to the generator for receiving the independent forcing signal, for receiving a dependent controlling signal, and for providing the chaotic signal, the passive circuit comprises a capacitor and an inductor and a first resistor connected in series, the capacitor provides a sensed signal, a nonlinear circuit coupled to the passive circuit for defining a piecewise linear potential function of the sensed signal for providing the dependent controlling signal, the piecewise linear potential function has three linear regions, an inner region having a negative slope and two outer regions each having a positive slope, the dependent signal is a product of the sensed signal multiplied by a derivative of the piecewise linear potential function of the sensed signal, and an active circuit coupled to the passive circuit and to the nonlinear circuit forming multiple feedback paths for controlling the piecewise linear potential function.
Specification