A maximum-likelihood sequence estimator for a digital pulse-amplitude-modulated sequence in the presence of finite intersymbol interference and white Gaussian noise is developed.Expand

We develop improved algorithms to construct good low-density parity-check codes that approach the Shannon limit of the binary input additive white Gaussian noise channel.Expand

By an extension of Gallager's bounding methods, exponential error bounds applicable to coding schemes involving erasures, variable-size lists, and decision feedback are obtained.Expand

A simple sphere bound gives the best possible tradeoff between the volume per point of an infinite array L and its error probability on an additive white Gaussian noise (AWGN) channel.Expand

The minimum mean-squared-error decision-feedback equalizer (MMSE-DFE) has properties that suggest that it is a canonical equalization structure for systems that combine equalization with coded modulation, particularly at moderate to low SNR's and on severe-ISI channels.Expand

Shannon's determination of the capacity of the linear Gaussian channel has posed a magnificent challenge to succeeding generations of researchers.Expand

We present theoretical and computational results bearing on the efficiency and complexity of concatenated codes; the major theoretical results are the following: 1.Expand