Non-linear adaptive scheme for cancellation of transmit out of band emissions

1. A method for removing unwanted transmitter emissions from a composite received signal, comprising:

extracting digitally I and Q samples from a modulator output;

inputting digitally the I and Q samples to a non-linear digital adaptive filter;

applying digitally weights to the non-linear digital adaptive filter outputs;

combining the non-linear digital adaptive filter outputs digitally to generate a baseband reproduction of the unwanted transmitter emissions;

selecting a portion of the reproduction that falls in a desired portion of a receive band by frequency shifting and low pass filtering the reproduction;

subtracting digitally the lowpass filtered and frequency shifted reproduction from the composite received signal; and

adapting the non-linear digital adaptive filter iteratively, by iteratively adapting the weights applied to the non-linear digital adaptive filter, wherein the weights are a representation of selected Volterra kernels.

2. The method of claim 1 , wherein the adaptation of the non-linear filter is based on a mean square error calculation and minimizes the mean square error.

3. The method of claim 1 , wherein the composite signal is in a receive frequency band.

4. An apparatus for removing unwanted transmitter emissions from a composite received signal, comprising:

a first processor for digitally sampling I and Q samples from a modulator;

a non-linear digital adaptive filter based on a linear combination of selected Volterra kernels through weights derived by mean square error calculations, that receives the I and Q transmitter samples as input signals, and outputs a reproduction of the unwanted transmitter emissions;

a second processor for selecting a desired portion of the reproduction by frequency shifting and low pass filtering the reproduction, and digitally subtracting the selected desired portion from a composite base band signal; and

a third processor for iteratively adapting the non-linear digital adaptive filter based on a residual error fed back to the non-linear filter to iteratively adapt the weights applied to the non-linear digital adaptive filter.

5. An apparatus for removing unwanted transmitter emissions from a composite received signal, comprising:

a first processor for digitally sampling I and Q samples from a modulator;

a non-linear filter based on a linear combination of selected Volterra kernels through weights derived by mean square error calculations, that receives the I and Q transmitter samples as input signals;

a second processor for digitally subtracting an output of the non-linear filter from a composite base band signal; and

a third processor for iteratively adapting the non-linear filter based on a residual error fed back to the non-linear filter to iteratively adapt the weights applied to the non-linear filter; and a digital frequency shifter and digital low-pass filter inserted at the output of the non-linear filter.

6. The apparatus of claim 4 , wherein the Volterra kernels are stored in at least one memory element.

7. An apparatus for removing unwanted transmitter emissions from a composite received signal, comprising:

means for digitally extracting I and Q samples from a modulator output;

means for digitally inputting the I and Q samples to a non-linear digital adaptive filter;

means for digitally applying weights to the non-linear digital adaptive filter outputs;

means for digitally combining the non-linear digital adaptive filter outputs to generate a base band reproduction of the unwanted transmitter emissions;

means for selecting a portion of the reproduction that falls in a desired portion of a receive band by frequency shifting and low pass filtering the reproduction;

means for digitally subtracting the output of the means for selecting from the composite received signal;

means for feeding back the residual error;

means for adapting the non-linear digital adaptive filter iteratively based on the minimization of Mean Square Error power, by iteratively adapting the weights applied to the non-linear digital adaptive filter, wherein the weights are a representation of selected Volterra kernels.

8. The apparatus of claim 7 , wherein the means for adapting the non-linear filter is based on a mean square error calculation and mean square error minimization.

9. The apparatus of claim 7 , wherein the composite signal operated on by the means for subtracting an output of the non-linear filter from a composite signal is in a receive frequency band.

10. A non-transitory computer-readable medium comprising instructions, which when executed by a processor cause the processor to perform the following operations:

extract digitally I and Q samples from a modulator output;

input digitally the I and Q samples to a non-linear digital adaptive filter;

apply weights digitally to the non-linear digital adaptive filter output;

combine the non-linear digital adaptive filter outputs digitally to generate a base band reproduction of unwanted transmitter emissions;

select a portion of the reproduction by frequency shifting and low pass filtering the reproduction;

subtract digitally the lowpass filtered and frequency shifted reproduction from a composite signal; and

adapt the non-linear digital adaptive filter iteratively, by iteratively adapting the weights applied to the non-linear digital adaptive filter, wherein the weights are a representation of selected Volterra kernels.

11. The non-transitory computer-readable medium of claim 10 , wherein the adapting of the non-linear filter is based on a mean square error calculation and minimizes the mean square error.

12. The non-transitory computer-readable medium of claim 10 , wherein the composite signal is in a receive frequency band.