CAJ | 학술논문

本文利用正交向量，从几何视角研究周期序列的分解和表示。通过内积运算，推导离散傅里叶级数公式。与传统教学方法相比，本文提出的授课方法避免了对完备正交函数集和最小均方误差准则下线性逼近的分析，使学生更为直观地理解周期序列的分解方法和指数形式的傅立叶级数的含义。
본문이용정교향량，종궤하시각연구주기서렬적분해화표시。통과내적운산，추도리산부리협급수공식。여전통교학방법상비，본문제출적수과방법피면료대완비정교함수집화최소균방오차준칙하선성핍근적분석，사학생경위직관지리해주기서렬적분해방법화지수형식적부립협급수적함의。
In this paper, decomposition and representation of periodic sequences is investigated from geometric view based on orthogonal vectors. In addition, discrete Fourier series formulas are derived by inner product. Com- pared with the traditional teaching methods, the new geometric methods avoid analyzing complete orthogonal func- tions set and minimum mean square error criterion for linear approximation, which make students understand the meaning of the decomposition method for periodic sequences and discrete Fourier series more intuitively.