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The optimal linear receiving filter for digital transmission over nonlinear channels

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3 Author(s)
Biglieri, Ezio ; Dept. of Electron., Politecnico di Torino, Italy ; Elia, M. ; Lopresti, L.

The filter minimizes the mean-square error between the sampled input to the decision device and the corresponding transmitted symbols. It is shown that the structure of this optimal receiving filter corresponds to a bank of matched filters, each followed by a linear transversal filter. Applications of this theory cover nonlinear channels with memory, linearly or nonlinearly modulated signals, and disturbances other than Gaussian noise (e.g. interference from other data sources)

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Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 3 )