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We consider detection of transmission errors in pcm by means of statistical hypothesis testing of the received quantized sequence. When errors are detected, a median filter is used to smooth waveform discontinuities. We describe two error detectors, one (cdc), based on correlation measurements, and the other (ddc), based on sample-to-sample difference measurements. While both offer s/n advantages over conventional pcm in the presence of errors, ddc is more promising both in terms of performance and simplicity of implementation.
Steele et al. (1977) studied this question.