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Signal-to-quantizing-noise ratios are derived for differential pulse-code modulation (DPCM) systems used to encode analog signals from first-order Markov processes into digital form. A formula is derived which takes into consideration the quantizing noise in the feedback loop. The derivation applies to DPCM encoders which are matched to the statistics of the input signal. Gaussian statistics are not required. Analytical results are verified by computer simulation.
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J. O'Neal (1971) studied this question.
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