# 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 language English 2077-2082 6 IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E93-A 11 https://doi.org/10.1587/transfun.E93.A.2077 Published - 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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