Upper bounds have been formulated and computed for the errorprobability of TCM (trellis-coded modulation) on time-dispersivechannels. Accurate approximations to ISI (intersymbol interference)PDF's have been used in the formulation. Examples have shown the boundsto be sufficiently tight over a wide range of time-dispersive channelconditions for practical applications. For severe levels of ISI, thebounds must be optimized over a bounding parameter to yield tightbounds; however, for low levels of ISI, a fixed bounding parameter canbe used to yield tight bounds. A further simplification that can be usedfor low levels of ISI is to assume that the ISI has a Gaussian PDF, toavoid having to compute an approximate PDF
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