Abstract

The paper is devoted to the theory of linearization of the quantization, by means of the Random Quantization principle. In the first part, the author defines this principle and establishes the main properties concerning the moments of the output of a fairly general quantizer with Random Transition Points. The given expressions of an equivalent transformation highlight the role of the distribution functions of the transition points as a tool of transfer curve synthesis. In the second part the linearization problem is dealt with: a criterion is given for the transition point law and statistical properties of the output are investigated, from the viewpoint of random variables and stochastic processes. As a conclusion the field of applications is touched upon.

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