Mean value measurements using quantized data

The effect of imperfect fulfilment of the validity conditions of the noise model of quantization is investigated. General expressions for the deviations from the Sheppard corrections are derived, and approximate upper bounds are given for the case of the measurement of first- and second-order moments of sinusoidal, uniformly distributed, and Gaussian signals. It is shown that the deviations should be characterized by their maxima, as functions of the mean value of the signal, and that they decay in a manner similar to that of the characteristic functions.<
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