Information flow of non-uniform differential quantization

Quantization as part of the analog-to-digital measurement procedure does not depend only on the signal dynamics of the measured object, but also on the dynamic behaviour of the measurement channel. A numerical value is attained with successive approximation of the difference between the the reference and measured quantity. For the effectiveness of differential tracking, the non-uniform quantization must fulfill 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 a pure exponential quantization rule. The fastest response is achievable with base 2. The finite impulse response of the sampler causes the finite information capacity of the channel. The information rate per step is a little below three. The number of bits decreases towards the end of the conversion.