Fourier Analysis of Sequences over a Composition Algebra of the Real Number Field

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概要

• 論文の詳細を見る

• To analyze the structure of a set of perfect sequences over a composition algebra of the real number field, transforms of a set of sequences similar to the discrete Fourier transform (DFT) are introduced. The discrete cosine transform, discrete sine transform, and generalized discrete Fourier transform (GDFT) of the sequences are defined and the fundamental properties of these transforms are proved. We show that GDFT is bijective and that there exists a relationship between these transforms and a convolution of sequences. Applying these properties to the set of perfect sequences, a parameterization theorem of such sequences is obtained.

• The Institute of Electronics, Information and Communication Engineersの論文

著者

• Maeda Takao

  School Of Computer Sci. And Engineering Of The Univ. Of Aizu

• Hayashi Takafumi

  School Of Computer Sci. And Engineering Of The Univ. Of Aizu

• MAEDA Takao

  School of Computer Science and Engineering, University of Aizu

関連論文

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• Parameterization of Perfect Sequences of Real Numbers
• Parameterization of Perfect Arrays of Real Numbers
• Fourier Analysis of Sequences over a Composition Algebra of the Real Number Field

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