Apparatus and method for removing noise from frequency signals

1. A receiver comprising:

a front end circuit to convert a radio frequency (RF) input signal into at least one frequency signal;

a non-linear circuit coupled to the front end circuit, the non-linear circuit to generate at least one shaped frequency signal from the at least one frequency signal according to at least one non-linear transfer function; and

a modulation signal detector coupled to the non-linear circuit to output a likelihood signal based on the at least one shaped frequency signal.

2. The receiver of claim 1 , wherein the non-linear circuit is to generate the at least one shaped frequency signal according to the at least one non-linear transfer function comprising at least one of a sine approximation function or a cosine approximation function.

3. The receiver of claim 2 , wherein the non-linear circuit is to force a level of the at least one shaped frequency signal towards zero when a level of the at least one frequency signal exceeds a threshold level.

4. The receiver of claim 1 , wherein the modulation signal detector comprises at least one correlator.

5. The receiver of claim 4 , wherein the at least one correlator comprises a sliding correlator.

6. The receiver of claim 4 , wherein the at least one correlator is to correlate the at least one shaped frequency signal with one or more of an expected preamble or a sync word pattern to generate the likelihood signal.

7. The receiver of claim 6 , further comprising a timing detection circuit coupled to the at least one correlator to produce at least one of a timing detection signal or a timing signal based on the likelihood signal.

8. The receiver of claim 7 , wherein the timing detection circuit is to assert the timing detection signal in response to the likelihood signal exceeding a detection threshold.

9. The receiver of claim 8 , further comprising a demodulator coupled to the timing detection circuit, the demodulator to produce a demodulated signal based on the at least one shaped frequency signal and at least one of the timing detection signal or the timing signal.

10. The receiver of claim 1 , further comprising an estimator to determine a frequency offset estimation signal based on the at least one frequency signal.

11. The receiver of claim 10 , wherein the front end circuit comprises a numerically controlled oscillator, the estimator to provide the frequency offset estimation signal to the numerically controlled oscillator to cause an update to a mixing signal, the mixing signal to be provided to a digital mixer of the front end circuit.

12. The receiver of claim 10 , further comprising a compensation circuit coupled to the estimator, wherein the compensation circuit is to produce at least one compensated frequency signal based on the frequency offset estimation signal and the at least one frequency signal.

13. The receiver of claim 12 , wherein the compensation circuit to provide the at least one compensated frequency signal to the non-linear circuit, the non-linear circuit to output the shaped frequency signal based on the at least one compensated frequency signal.

14. A method comprising:

receiving, in a non-linear circuit coupled to a radio frequency (RF) front end circuit, a frequency signal corresponding to a RF input signal;

shaping, in the non-linear circuit, the frequency signal according to a non-linear transfer function;

determining, in a modulation signal detector coupled to the non-linear circuit, a detection likelihood based on the shaped frequency signal and a synchronization pattern;

comparing the detection likelihood to a detection threshold to determine at least one of a timing detection signal or a timing signal; and

demodulating the shaped frequency signal according to at least one of the timing detection signal or the timing signal.

15. The method of claim 14 , further comprising:

estimating a frequency offset based on the frequency signal; and

compensating the frequency signal based on the estimated frequency offset, wherein receiving, in the non-linear circuit, the frequency signal comprises receiving the compensated frequency signal.

16. The method of claim 14 , further comprising:

estimating a frequency offset based on the frequency signal; and

controlling at least one of a numerically controlled oscillator of the RF front end circuit or a RF frequency synthesizer of the RF front end circuit based at least in part on the estimated frequency offset.

17. The method of claim 14 , further comprising shaping the frequency signal according to at least one of a sine function or a cosine function.

18. A system comprising:

a receiver to receive a radio frequency (RF) signal, the receiver comprising:

a RF front end circuit to process the RF signal into a frequency signal;

an estimator coupled to the RF front end circuit to determine a frequency offset estimation signal based on the frequency signal;

a compensation circuit coupled to the estimator to produce a compensated frequency signal based on the frequency offset estimation signal and the frequency signal;

a non-linear circuit coupled to the RF front end circuit, the non-linear circuit to generate a shaped frequency signal from the compensated frequency signal according to a non-linear transfer function;

a modulation signal detector coupled to the non-linear circuit to output a likelihood signal based on the shaped frequency signal; and

a demodulator coupled to the non-linear circuit to demodulate the shaped frequency signal into a demodulated signal based at least in part on the likelihood signal;

a signal processor coupled to the receiver to process the demodulated signal to obtain message content; and

a digital processor coupled to the signal processor to process the message content.

19. The system of claim 18 , wherein the non-linear circuit is to generate the shaped frequency signal according to the non-linear transfer function comprising at least one of a sine approximation function or a cosine approximation function.

20. The system of claim 18 , wherein the non-linear circuit is to:

when the frequency signal is within a range, output the frequency signal as the shaped frequency signal; and

when the frequency signal exceeds the range, reduce the frequency signal proportionally to an amount of exceeding the range and output the reduced frequency signal as the shaped frequency signal.