Integrated frequency selective limiter utilizing quadratic and an-harmonic energy scattering

1. An adaptive filter comprising:

a linear filter; and

a first non-linear resonator coupled to the linear filter and adapted to resonate at a frequency that is an integer multiple of a frequency of a received RF signal, said adaptive filter filtering out the received RF signal.

2. The adaptive filter of claim 1 wherein said first non-linear resonator is adapted to generate a damped voltage that is substantially a square of a voltage of the received RF signal and that oscillates at the resonant frequency.

3. The adaptive filter of claim 1 wherein the resonant frequency is twice the frequency of the received RF signal.

4. The adaptive filter of claim 1 further comprising:

a second non-linear resonator coupled to the linear filter and adapted to resonate at a frequency defined by a sum of the integer multiple of the frequency of the received signal and an offset frequency.

5. The adaptive filter of claim 4 further comprising:

a third non-linear resonator coupled in series with the first non-linear resonator and adapted to resonate at the integer multiple of the frequency of the received signal.

6. The adaptive filter of claim 5 further comprising:

a comparator adapted to compare a voltage across a resistor to a threshold voltage and to supply, in response, a current to a semiconductor substrate in which the first and third non-linear resonators are disposed, the voltage across the resistor formed in response to a current generated by the first and the third non-linear resonators.

7. The adaptive filter of claim 4 further comprising:

a fourth non-linear resonator coupled in series with the second non-linear resonator and adapted to resonate at the frequency defined by the sum of the integer multiple of the frequency of the received signal and the offset frequency.

8. The adaptive filter of claim 1 wherein the resonant frequency of the first non-linear resonator is varied in response to varying a thickness of the first non-linear resonator.

9. The adaptive filter of claim 1 wherein the resonant frequency of the first non-linear resonator is varied in response to varying a lateral dimension of the non-linear resonator.

10. The adaptive filter of claim 1 wherein the resonant frequency of the first non-linear resonator is varied in response to a biasing voltage applied to the first non-linear resonator.

11. The adaptive filter of claim 1 wherein the resonant frequency of the first non-linear resonator is varied in response to heating of the first non-linear resonator.

12. The adaptive filter of claim 1 wherein the first non-linear resonator is a ferroelectric resonator.

13. The adaptive filter of claim 12 wherein the ferroelectric resonator includes a hafnium zirconium oxide (Hf 0.5 Zr 0.5 O 2 ) film.

14. A non-linear resonator biased to:

receive an RF signal;

resonate at a frequency that is an integer multiple of a frequency of the RF signal; and

filter out the RF signal.

15. A method of filtering an RF signal, the method comprising:

receiving the RF signal at a first port coupled to a linear filter;

supplying an output signal of the linear filter to a first non-linear resonator adapted to resonate at a frequency that is an integer multiple of a frequency of the received RF signal; and

filtering out the received RF signal.

16. The method of claim 15 wherein said first non-linear resonator is further adapted to generate a damped voltage that is substantially a square of a voltage of the received RF signal, the damped voltage oscillating at the resonant frequency.

17. The method of claim 15 wherein the resonant frequency is twice the frequency of the received RF signal.

18. The method of claim 15 further comprising:

coupling a second non-linear resonator to the linear filter, said second non-linear resonator adapted to resonate at a frequency defined by a sum of the integer multiple of the frequency of the received signal and an offset frequency.

19. The method of claim 18 further comprising:

coupling a third non-linear resonator in series with the first non-linear resonator, said third non-linear resonator adapted to resonate at the integer multiple of the frequency of the received RF signal.

20. The method of claim 19 further comprising:

coupling a fourth non-linear resonator in series with the second resonator, said fourth non-linear resonator adapted to resonate at the frequency defined by the sum of the integer multiple of the frequency of the received signal and the offset frequency.

21. The method of claim 19 further comprising:

comparing a voltage across a resistor to a threshold voltage; and

supplying, in response, a current to a semiconductor substrate in which the first and third resonators are disposed, the voltage across the resistor formed in response to a current generated by the first and the third non-linear resonators.

22. The method of claim 15 further comprising:

varying the resonant frequency of the first non-linear resonator in response to varying a thickness of the first non-linear resonator.

23. The method of claim 15 further comprising:

varying the resonant frequency of the first non-linear resonator in response to varying a lateral dimension of the first non-linear resonator.

24. The method claim 15 further comprising:

varying the resonant frequency of the first non-linear resonator in response to a biasing voltage applied to the first non-linear resonator.

25. The method claim 15 further comprising:

varying the resonant frequency of the first non-linear resonator in response to heating the first non-linear resonator.

26. The method of claim 15 wherein the first non-linear resonator is a ferroelectric resonator.

27. The method of claim 26 wherein the ferroelectric resonator includes a hafnium zirconium oxide (Hf 0.5 Zr 0.5 O 2 ) film.