Chapter 16
Fourier Series
三角フーリエ級数
A Fourier series is a mathematical technique that breaks down periodic functions into an infinite series of sinusoidal harmonics.
The trigonometric ...
指数フーリエ級数
In audio signal processing, the exponential Fourier series is essential for synthesizing sounds. For instance, a complex musical note can be decomposed ...
フーリエ級数Iの性質
The exploration of the properties of the Fourier series begins with linearity.
When considering two periodic signals and forming a third by their linear ...
フーリエ級数IIの特性
When a signal undergoes time scaling, the Fourier series coefficients remain the same, but the representation of the Fourier series changes due to an ...
パーセバルの定理
Parseval's theorem states that if a function is periodic, then the average power of the signal over one period equals the sum of the squared ...
フーリエ級数の収束
The Fourier series of a signal is an infinite sum of complex exponentials. The infinite sum is often truncated to a finite partial sum to make it ...
離散時間フーリエ級数
The Discrete-Time Fourier Series is a counterpart to the Fourier-series expansion of continuous-time periodic signals.
Calculating the expansion ...
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