Estimation of the effects in the experimental design using fourier transforms

Yoshifumi Ukita*, Toshiyasu Matsushima, Shigeichi Hirasawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We propose that the model in experimental design be expressed in terms of an orthonormal system. Then, we can easily estimate the effects using Fourier transforms. We also provide the theorems with respect to the sum of squares needed in analysis of variance. Using these theorems, it is clear that we can execute the analysis of variance in this model.

Original languageEnglish
Pages (from-to)2077-2082
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number11
Publication statusPublished - 2010 Nov


  • Analysis of variance
  • Fourier analysis
  • Orthogonal design
  • Sampling theorem

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


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