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Compatible single-sideband transmission has been shown to be possible under the limits of an iterative signal-processing technique and with the use of ideal band-limited channels. A realization technique is presented which removes the constraint of ideal channels, but requires a trivial redefinition of the channel to include the effect of delay elements. The step response and convergence characteristics of the signal processor are investigated using digital time-domain simulation. The impulse response of an experimental processor is given, and rapid convergence is shown.