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Introduction of The Equal-Division-Averaged (EDA) Method
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 The Equal-Division-Averaged (EDA) Method
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The equal division averaged method (EDA-Method) can be explained as “when an arbitrary periodic curve can be expressed by the Fourier series, n-number of curves with a phase shift of 2π/n at a time are averaged, where an arbitrary natural number n, the averaged curve shows the sum of an integral multiple of n-order Fourier components of the original curve.”
Where periodic function of variable θ is expressed asＦ(θ), Ｆ(θ) can be expanded as Fourier series as shown formula (1)
where Em and αm are amplitude and phase angle of m-order Fourier components respectively.
For an arbitrary natural number n, Function Fn(θ) is defined as average of n-number of curves with a phase shift of F(θ) as 2π/n at a time. Fn(θ) can be expressed as follows:
When we substitute formula (1) to formula (2) and arrange by using such method as deformation and addition theorem, finally formula (3) can be obtained. Where, k is a natural number, and m= k•n
Thus, Fn(θ) which is the average value of shifted each 2π/n angle phase of F(θ) can be expanded as an integral multiple of n-order Fourier series of F(θ) as shown formula (3).
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