Chapter 16
Fourier Series
三角傅里叶级数
A Fourier series is a mathematical technique that breaks down periodic functions into an infinite series of sinusoidal harmonics.
The trigonometric ...
指数傅里叶级数
In audio signal processing, the exponential Fourier series is essential for synthesizing sounds. For instance, a complex musical note can be decomposed ...
傅里叶级数 I 的性质
The exploration of the properties of the Fourier series begins with linearity.
When considering two periodic signals and forming a third by their linear ...
傅里叶级数 II 的特性
When a signal undergoes time scaling, the Fourier series coefficients remain the same, but the representation of the Fourier series changes due to an ...
Parseval 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 ...
傅里叶级数的收敛
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 ...
离散时间傅里叶系列
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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