Wiener-optimum linear detectors for non-Gaussian channels

Optimal detectors for non-Gaussian channels are nonlinear, and are therefore sensitive to problem parameters. We describe a technique for designing linear detectors for arbitrary additive noise channels that takes into account dependence structure, amplitude distribution, and transmitted signals. This technique is based on Wiener's theory of nonlinear systems, and amounts to cross-correlating the optimal detector's output with its input when it is driven by white Gaussian noise. We have not proven this linear detector's optimality; simulations demonstrate that it has some of the properties required of optimal detectors in several cases.<>