Patent ID: 7617080

Claim:
A computer-implemented method for filtering data that is representative of a target system that exhibits a non-linear relationship between system properties and measurement data to provide a reconstructed representation of the target system, comprising: defining a modeled system that exhibits a non-linear relationship between system properties and measurement data; defining one or more functions for perturbing one or more elements of the modeled system; obtaining first output data in a form of a first matrix from the modeled system that is a function of a property of the modeled system, in response to perturbing the one or more elements; employing a computer, applying a reconstruction algorithm to the first output data to obtain first reconstructed data in a form of a second matrix that identifies, with inaccuracy, the property of the modeled system; employing a computer, determining a linear filter in an N×N matrix form, wherein multiplication of said linear filter with said first reconstructed data generates an approximation to said first output data, and wherein N is equal to a number of elements of said modeled system; obtaining second output data from the target system that is a function of a property of the target system that corresponds to the property of the modeled system; employing a computer, applying the reconstruction algorithm to the second output data to obtain the second reconstructed data that identifies, with inaccuracy, the property of the target system; and employing a computer, applying the linear filter to said second reconstructed data to correct the second reconstructed data that represents the property of the target system.