Abstract: A method of nonlinear and affine signal processing includes the steps of introducing an input signal into a system which exhibits nonlinear behavior, the input signal including a target signal and a secondary signal. By virtue of its nonlinear design, the system generates nonlinear artifacts of the target signal and the secondary signal. These nonlinear artifacts are in turn used as a novel form of signal diversity. In one embodiment, the identification of the nonlinear artifacts is used to resolve defects that have been created as a result of sub-Nyquist sampling. In another embodiment, the identification of the nonlinear artifacts is used to locate and strengthen the power of a target signal that falls beneath the noise threshold for the system.

Abstract: A nonlinear equalizer for treating the nonlinear component of a distorted digital signal includes a first processing unit adapted to receive the distorted digital signal and yield an appropriate output signal in response thereto, a second processing unit adapted to receive the distorted digital signal and yield an appropriate output signal in response thereto, and a summation module for summing together the output signals from the first and second processing units so as to yield an equalized digital signal. In one embodiment, each of the first and second processing units comprises a linear filter, a partitioning filterbank for partitioning the distorted digital signal, and a multiplier for multiplying together the output of said linear filter with the output of said partitioning filterbank. In use, the nonlinear equalizer can be used to adaptively partition the distorted digital signal so as to allow for nonlinear equalization in a highly efficient manner.