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A signal detection method for delta-coded speech is presented which exploits the redundancy of the source to reduce the error rate owing to additive Gaussian noise in the channel. The method implements a Bayes strategy with dual decision boundaries selected by a 6th-order digital predictor. Fixed decision boundary pairs, appropriate for a wide range of input signal/noise ratio, are established. This easily implemented technique is shown to give an error-rate reduction of about 40% in coherent antipodal and coherent and noncoherent orthogonal communication.