Fast generalized arithmetic and adding transforms
B.J. Falkowski, Chip-Hong Chang · 2002
Methods of generating forward and inverse transformation kernels for generalized arithmetic and adding transforms are presented. Different methods of generation of transformation matrices in arbitrary polarities from a transformation matrix in some polarity are developed. Mutual relations among transformation matrices and spectra for arbitrary polarities are also investigated. A unified approach to the fast arithmetic and adding algorithms based on the representation of transform matrices in the form of layered Kronecker matrices is developed.