Kvantisérte

Kvantisérte is a term encountered in some technical writings to denote the process of converting a continuous value into a discrete set of levels, i.e., quantization. It is not a universally standardized term and its usage can vary across languages and disciplines, but it is often used to emphasize the discrete representation aspect of the procedure.

The core idea of kvantisérte is to define a quantization function Q that maps an input x from a continuous domain to a finite set of levels. The result is the discrete value Q(x) = li for some level li, with decision boundaries that partition the input range. This process inevitably introduces quantization error e = x − Q(x), whose magnitude depends on the step size between levels and on the statistical properties of the input signal. Quantization schemes can be broadly categorized as uniform, with equal step sizes, or non-uniform, using varying step sizes to better match signal distributions. Techniques such as dithering or stochastic rounding may be employed to reduce bias and mitigate perceptual artifacts or computational error.

Kvantisérte has relevance across digital signal processing, communications, image and audio compression, and the implementation of quantized neural networks. In practice, the term is sometimes used interchangeably with quantization, while in other contexts it is chosen to highlight the discrete representation process. Critical considerations include quantization resolution, handling of edge cases, and the impact on signal quality and information integrity.

See also: quantization; quantization error; dithering; stochastic rounding; quantized neural networks.