Dihedral Fourier analysis in phase-space

摘要

The methods of dihedral Fourier analysis are introduced and applied to describe the data-analytic properties of rotators, gyrators, separable fractional Fourier, and shearing operators in phase-space. The methods are also applied to introduce the notion of dihedral field orbits in phase-space as experimental designs or protocols for the statistical study of optical information, and to describe and classify these operators according to their response to field (dihedral) rotations and reversals.