USA As Represented by Secretary of the Navy

Mario E Inchiosa

Ardeshir Ratan Bulsara

William Lawrence Ditto

Frank Edward Gordon

Luca Gammaitoni

Joseph D Neff

Gabor Schmera

Terence R Albert

Peter Haenggi

Markus Loecher

John F Lindner

Brian K Meadows

Kurt Arn Wiesenfeld

A controlled stochastic resonance circuit applies stochastic resonance to bias a nonlinear device with a control signal having a selected amplitude, frequency, and phase to enhance or suppress the response of the device to a periodic signal embedded in noise.

Controlled stochastic resonance circuit

A signal processor utilizes a globally nonlinearly coupled array of nonlinear dynamic elements. In one embodiment of the invention, these elements take the form of bistable overdamped oscillators. The processor exploits the phenomenon of stochastic resonance to amplify a weak periodic signal embedded in noise. In this signal processor, a system or plurality of nonlinearly coupled overdamped oscillators is subject to a weak periodic signal embedded in a noise background. For communication or detection applications, this weak signal component is the signal of interest. A reference oscillator is chosen from the plurality of overdamped oscillators, and is given a time scale for relaxation that is longer than the remaining oscillators. The output of the reference oscillator is analyzed for signal processing purposes in response to the signal and noise. A detailed numerical analysis of the full dynamics of the bistable element represented by the reference oscillator has shown that the signal-to-noise ratio (SNR) of the entire processor system reaches a maximum at a critical noise variance value. By using a number of overdamped oscillators working together, an enhancement of SNR can be achieved over that of the use of a single oscillator.

Noise assisted signal processor with nonlinearly coupled arrays of

A stochastic resonator signal detector comprises a multi-stable nonlinear device for coupling to an input signal and a control signal coupled to the multi-stable nonlinear device for varying asymmetry among stable states of the multi-stable nonlinear device. The interaction of the input signal with the control signal in the multi-stable nonlinear device generates an output signal having an amplitude responsive to the input signal amplitude and a frequency range that comprises harmonics of products of the control signal and the input signal.

Stochastic resonance detector for weak signals

The invention exploits the phenomenon of stochastic resonance in a nonlinear dynamic system to enhance the system's response to a weak periodic signal locally corrupted by background noise. The invention is designed to enhance the signal-to-noise ratio (SNR) in the system's output power spectrum at the periodic signal's frequency. This technique utilizes an array of nonlinear dynamic elements whose individual outputs are specifically coupled to other array elements. The coupling is found to substantially enhance the output SNR over what would be expected from a signal processor based upon a single such element. This principle has the potential to substantially enhance the performance of arrays of nonlinear devices; in fact, the nonlinear array can be expected to yield an output SNR that is very close to that obtainable by an array of ideal linear devices, so that the coupling actually 'linearizes' the nonlinear system. The output SNR enhancement is found to correlate with enhanced signal detection performance.

Noise- and coupling-tuned signal processor with arrays of nonlinear

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Mario E Inchiosa