Polynomial ambiguity resistant precoders: Theory and applications in ISI/multipath cancellation

In this paper, precoding techniques are studied for combating the intersymbol interference (ISI)/multipath effects in communication systems. We introduce a new type-precoder which we term thepolynomial ambiguity resistant (PAR) precoder for its ability to resist signal distortion induced by finite impulse response (FIR) channels. In particular, the precoder allows a receiver to identify an input signal without knowing the channel characteristics at the expense of a minimum amount of bandwidth increase. A family of such precoders, which is linear (no modulo operations), channel independent, and modulation pattern preserving (except for some occasional 0 symbols), is presented. Also presented is a closed-form algorithm that can simultaneously identify the input signals and zero-forcing equalizers.Work supported in part by the Air Force Office of Scientific Research (AFOSR) under Grant No. F49620-97-1-0253 and F49620-98-1-0352, the National Science Foundation CAREER Program under Grant MIP-9703377, and the University of Delaware Research Foundation.Work supported in part by the Air Force Office of Scientific Research (AFOSR) under Grant No. F49620-97-1-0318, the Office of Naval Research (ONR) under Grant No. N00014-97-1-0475, and the National Science Foundation CAREER Program under Grant MIP-9703074.