Adaptive recursive least mean square error filter

A machine method for enabling a recursive filter to automatically adapt comprising the steps of:

• combining the filter output signal with a first input signal to develop an error signal;
• generating a function of the error signal;
• and
• enabling the filter to minimize the mean square error in the output signal in response to a second input signal, the output signal and to the function of the error signal.

A machine method for causing a recursive filter to automatically adapt comprising the steps of:

• combining a first input signal with the output signal from the recursive filter to develop an error signal;
• scaling the error signal;
• and
• applying a second input signal, the output signal and the scaled error signal to the filter to enable the filter to automatically adapt itself to minimize the mean square error in the ouput signal.

A machine method for making a recursive filter adaptive comprising the steps of:

• providing a first input signal to a first transversal filter;
• combining the output of the first transversal filter with the output of a second transversal filter to develop the output signal to the recursive filter;
• feeding back the output signal to the second transversal filter;
• enabling a second input signal to be combined with the output signal to develop an error signal;
• utilizing the error signal to develop at least one function signal;
• and
• applying said at least one function signal to the first and second transversal filter to enable the first and second transversal filters to automatically adapt themselves to minimize the mean square error in the output signal.