System and method for nonlinear self-filtering via dynamical stochastic resonance
A system and method for filtering and enhancing signals from a noise background based on the nonlinear interaction of waves. The system and method amplify low-level signals, hide information in the signals, and then nonlinearly recover the signals. With the present invention, this can be performed for both spatial beams and temporal pulses. The signal self-filters and self-amplifies at the expense of the surrounding noise via the nonlinear medium.
1. A method for recovering a signal comprising the steps of:
coupling a signal and incoherent background noise together to produce a mixed signal;
propagating the mixed signal over a distance in a nonlinear medium to amplify the signal at the expense of the incoherent background noise, wherein nonlinearity of said nonlinear medium is controllable; and
extracting said signal from said mixed signal by tuning a parameter of said signal, said noise, or said medium;
wherein said step of propagating said mixed signal comprises propagating said mixed signal in a self-focusing photorefractive crystal.
2. A method for recovering a signal according to claim 1 , wherein said step of extracting said signal comprises the step of tuning the nonlinearity of said nonlinear medium.
3. A method for recovering a signal according to claim 2 , wherein said step of propagating said mixed signal comprises propagating said mixed signal in a self-focusing photorefractive crystal.
4. A method for receiving a signal according to claim 1 , wherein said step of tuning said nonlinearity of the mixed signal comprises varying an applied voltage across a crystalline axis of said photorefractive crystal.
5. A method for recovering a signal according to claim 1 , wherein said step of coupling said signal to said incoherent background noise comprises fixing a signal-to-noise ratio to completely obscure said signal.
6. A method for recovering a signal according to claim 1 , wherein said step of extracting said signal comprises the step of tuning the intensity of the incoherent background noise.
7. A method for recovering a signal according to claim 1 , wherein said step of extracting said signal comprises the steps of tuning the statistics of the background noise.
8. A method for recovering a signal according to claim 4 , wherein said statistics of the noise are controlled by an imaging lens and said step of tuning the statistics of the noise comprises controlling said imaging lens.
9. A method for recovering a signal according to claim 1 , wherein said step of extracting said signal comprises the step of tuning the wavelength of the background noise.
10. A method for recovering a signal according to claim 1 , wherein said step of extracting said signal comprises the step of tuning the wavelength of the signal.
11. A method for recovering a signal according to claim 1 , wherein said signal comprises an image signal.
12. A method for recovering a signal according to claim 1 , wherein said incoherent background noise comprises diffused laser light.
13. A method for recovering a signal according to claim 1 , wherein said step of coupling a signal and incoherent background noise together to produce a mixed signal completely obscures the signal.
14. A system for recovering a signal comprising:
means for coupling a signal and incoherent background noise together to produce a mixed signal;
a tunable nonlinear medium connected to an output of said means for coupling; and
means for recovering a signal of interest by tuning a nonlinear response of said tunable nonlinear medium;
wherein said tunable non-linear medium comprises a self-focusing photorefractive crystal.
15. A system for recovering a signal according to claim 2 , wherein said parameter is selected from the group of the strength of the nonlinearity of the mixed signal, the intensity of the incoherent background noise, the statistics of the incoherent background noise and a noise wavelength.
16. A system for recovering an image signal comprising:
a receiver for receiving a signal of interest;
a source of incoherent noise;
a combiner for coupling said signal of interest to incoherent background noise from said source of incoherent noise to produce a mixed signal;
a controllable nonlinear propagation medium connected to said combiner for propagating said mixed signal over a distance;
a camera for receiving said mixed signal after it propagates over said distance; and
a controller for tuning parameters of said combiner and said source of incoherent noise;
wherein said controllable nonlinear propagation medium comprises a self-focusing photorefractive crystal.
17. A method for recovering a signal according to claim 1 , wherein said nonlinearity of said nonlinear medium is controllable by varying an external bias voltage.
18. A system for recovering a signal according to claim 16 , wherein said controllable nonlinear propagation medium comprises a self-focusing photorefractive crystal.