快速广义算术和加法变换

B. Falkowski, Chip-Hong Chang
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引用次数: 10

摘要

给出了广义算术变换和加法变换的正变换核和逆变换核的生成方法。给出了由某一极性变换矩阵生成任意极性变换矩阵的不同方法。研究了变换矩阵与任意极性谱之间的相互关系。提出了一种基于变换矩阵的分层克罗内克矩阵表示的快速算法和加法算法的统一方法。
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Fast generalized arithmetic and adding transforms
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.
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