Heisenberg Uncertainty Principle for n-Dimensional Linear Canonical Transforms

Abstract

The uncertainty principle proposed by German physicist Heisenberg in 1927 is a basic principle of quantum mechanics and signal processing. Since linear canonical transformation has been widely used in various fields of signal processing recently and Heisenberg uncertainty principle has been endowed with new expressive meaning in linear canonical transforms domain, in this manuscript, an improved Heisenberg uncertainty principle is obtained in linear canonical transforms domain.

Keywords

Heisenberg uncertainty principle / linear canonical transforms / Pitt inequality