UNCERTAINTY OF NON-UNIFORM QUANTIZATION AND INFORMATION

Dusan Agrez

Abstract

In many analog-to-digital conversion schemes, numerical values are attained with successive approximations of the difference between the reference and measured quantity. For effectiveness of differential tracking, the non-uniform quantization must fulfil three conditions: partitions into halves, increasing quantization uncertainty with difference, and low overlapping of the quantization intervals. The best trade between the number of decision levels and the settling time is with pure exponential quantization rule. The fastest response is achievable with base 2. The information rate per step is a little below three. The number of bits decreases towards the end of conversion and the sharp stop of the uniform constant information flow is smoothed.

Keywords

non-uniform quantization, uncertainty, information entropy

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IMEKO-TC7-2004-061.pdf

DOI

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IMEKO TC

TC7 - Measurement Science

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