Decision-feedback equalization using multiple-hyperplane partitioning for detecting ISI-corrupted M-ary PAM signals

A decision-feedback equalizer scheme is derived based on multiple-hyperplane partitioning of signal space for detectingM -ary pulse amplitude modulation symbols transmitted through a noisy intersymbol interference channel. The proposed scheme is based on the fact that the optimal Bayesian decision boundary separating two neighboring signal classes is asymptotically piecewise linear and consists of several hyperplanes, when the signal-to-noise ratio tends to infinity. An algorithm is developed to determine these hyperplanes, which are then used to partition the observation signal space. The resulting detector can closely approximate the optimal Bayesian detector, at an advantage of considerably reduced detector complexity.