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An information-theoretic framework for deriving canonical decision-feedback receivers in Gaussian channels

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2 Author(s)
T. Guess ; Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA ; M. K. Varanasi

A framework is presented that allows a number of known results relating feedback equalization, linear prediction, and mutual information to be easily understood. A lossless, additive decomposition of mutual information in a general class of Gaussian channels is introduced and shown to produce an information-preserving canonical decision-feedback receiver. The approach is applied to intersymbol interference (ISI) channels to derive the well-known minimum mean-square error (MMSE) decision-feedback equalizer (DFE). When applied to the synchronous code-division multiple-access (CDMA) channel, the result is the MMSE (or signal-to-interference ratio (SIR) maximizing) decision-feedback detector, which is shown to achieve the channel sum-capacity at the vertices of the capacity region. Finally, in the case of the asynchronous CDMA channel we are able to give new connections between information theory, decision-feedback receivers, and structured factorizations of multivariate spectra.

Published in:

IEEE Transactions on Information Theory  (Volume:51 ,  Issue: 1 )