Estimation of the effects in the experimental design using fourier transforms

Yoshifumi Ukita, Toshiyasu Matsushima, Shigeichi Hirasawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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
    VolumeE93-A
    Issue number11
    DOIs
    Publication statusPublished - 2010 Nov

    Fingerprint

    Analysis of variance
    Analysis of variance (ANOVA)
    Experimental design
    Design of experiments
    Fourier transform
    Fourier transforms
    Orthonormal System
    Sum of squares
    Theorem
    Model
    Estimate

    Keywords

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

    ASJC Scopus subject areas

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

    Cite this

    Estimation of the effects in the experimental design using fourier transforms. / Ukita, Yoshifumi; Matsushima, Toshiyasu; Hirasawa, Shigeichi.

    In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E93-A, No. 11, 11.2010, p. 2077-2082.

    Research output: Contribution to journalArticle

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