【摘要】 本文提出了序列的双重性及变换对的多重性原理,从而找出了付氏变换(FT)对与付氏级数变换(FST)对,付氏z变换(FZT)对,离散付氏级数变换(DFS)对之间的内在联系以及四种变换对的统一表达形式。在双重性原理的应用部分,还提出了交叉卷积、交叉循环卷积、借用变换对法等新概念与新方法。更多还原

【Abstract】 The theory for the duality of sequences and the multiplicity of transform-pairs is presented, and the essential relation of Fourier-Transform (FT) pair, Fourier-Series-Transform (FST) pair. Fourier Z-transform (FZT) pair. Discrete Fourier-Series-Transform (DFS) pair as well as the unified expression of these four transform-pairs are given. Some new ideas and methods for the application of the duality theory are presented, such as cross convolution, cross cyclical convolution and borrowtransform-pair methods.更多还原