Nonlinear filter
View Patent ↗A system and method are disclosed for a nonlinear filter having a nonlinear transfer function. The nonlinear filter comprises a plurality of linear filters each having a filter output, a plurality of nonlinear elements each connected to one of the plurality of linear filters, and a combination network connected to the plurality of nonlinear elements. The nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs, and the combination network combines the nonlinear outputs.
1. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
the combination network comprises a min-max selection network.
2. A nonlinear filter as recited in claim 1 , wherein the nonlinear elements are absolute value operators.
3. A nonlinear filter as recited in claim 1 , wherein the combination network comprises a summation network.
4. A nonlinear filter as recited in claim 1 , wherein the min-max selection network comprises a minimum processor and a maximum processor in a nested configuration.
5. A nonlinear filter as recited in claim 1 , wherein each of the linear filters has linear filter parameters that are derived adaptively.
6. A nonlinear filter as recited in claim 1 , wherein the nonlinear filter is used in an analog to digital converter.
7. A nonlinear filter, having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
the nonlinear transfer function includes a first order polynomial.
8. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
the nonlinear transfer function is a first nonlinear transfer function that includes a first order polynomial; and the first nonlinear transfer function approximates a second nonlinear transfer function that includes a higher order polynomial.
9. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements; and
an averaging filter that provides an average value for the nonlinear transfer function;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs.
10. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
each of the linear filters has linear filter parameters that are derived using least mean square fit.
11. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of linear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
each of the linear filters has linear filter parameters that are derived using back propagation.
12. A nonlinear filter having a nonlinear transfer function comprising:
a plurality of nonlinear filters each having a filter output;
a plurality of nonlinear elements each connected to one of the plurality of linear filters; and
a combination network connected to the plurality of nonlinear elements;
wherein:
the nonlinear elements are used to produce nonlinear effects and generate a plurality of nonlinear outputs;
the combination network combines the nonlinear outputs; and
the nonlinear transfer function is multidimensional.
13. A method for providing a nonlinear output comprising:
receiving an input signal;
sending the input signal to a plurality of linear filters having a plurality of filter outputs;
sending the filter outputs to a plurality of nonlinear elements used to generate a plurality of nonlinear outputs; and
combining the nonlinear outputs using a combination network that comprises a min-max selection network.
14. A method for providing a nonlinear output as recited in claim 13 , wherein the nonlinear elements are absolute value operators.
15. A method for providing a nonlinear output as recited in claim 13 , wherein the combination network comprises a summation network.
16. A method for providing a nonlinear output as recited in claim 13 , wherein the min-max selection network comprises a minimum processor and a maximum processor in a nested configuration.
17. A method for providing a nonlinear output as recited in claim 13 , wherein each of the linear filters has linear filter parameters that are derived adaptively.
18. A computer program product for producing a nonlinear output, the computer program product being embodied in a computer readable medium and comprising computer instructions for:
receiving an input signal;
sending the input signal to a plurality of linear filters having a plurality of filter outputs;
sending the filter outputs to a plurality of nonlinear elements used to generate a plurality of nonlinear outputs; and
combining the nonlinear outputs using a combination network that comprises a min-max selection network.
19. A computer program product as recited in claim 18 , wherein the nonlinear elements are absolute value operators.
20. A computer program product as recited in claim 18 , wherein the combination network comprises a summation network.
21. A computer program product as recited in claim 18 , wherein the min-max selection network comprises a minimum processor and a maximum processor in a nested configuration.
22. A computer program product as recited in claim 18 , wherein each of the linear filters has linear filter parameters that are derived adaptively.