High frequency anharmonic oscillator for the generation of broadband deterministic noise
AssigneeThe Aerospace Corporation
InventorsChristopher Patrick Silva, Albert Miebach Young
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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.
Claims20
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.
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.
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.
Dependencies are inferred from the claim text.