Calculus of Variations and Geometric Measure Theory

T. Guo - N. Karagodin - E. Stepanov

Optimal functional product quantization

created by stepanov on 24 Apr 2023
modified on 29 Apr 2023



Inserted: 24 apr 2023
Last Updated: 29 apr 2023

Year: 2023


We introduce a mathematically new approach for quantization of vectorial signals which is already widely used by engineers, and discuss its basic properties. Consider a vectorial signal on the input to a computational device calculating a given function of the input. The main objective is to quantize the signal components separately in a way that optimizes the output quality. We study existence of optimal quantizers and estimate the optimal cost for several classes of functions.

Keywords: optimal location, quantization