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The reconstruction of a continuous-time signal from the sign of its (deliberately) contaminated samples is considered. Sequential, generally nonlinear estimates of are established and their performance is studied; error bounds and convergence rates are derived. The signal need not be band-limited. The convergence rates obtained here are faster than those obtained previously for nonsequential estimates. The degradation in the reconstruction of the signal, due to transmission over a noisy channel, is also investigated, and bounds on the additional error are obtained.