Chapter 16
Fourier Series
Serie trigonometrica di Fourier
A Fourier series is a mathematical technique that breaks down periodic functions into an infinite series of sinusoidal harmonics.
The trigonometric ...
Serie esponenziale di Fourier
In audio signal processing, the exponential Fourier series is essential for synthesizing sounds. For instance, a complex musical note can be decomposed ...
Proprietà della serie di Fourier I
The exploration of the properties of the Fourier series begins with linearity.
When considering two periodic signals and forming a third by their linear ...
Proprietà della serie di Fourier II
When a signal undergoes time scaling, the Fourier series coefficients remain the same, but the representation of the Fourier series changes due to an ...
Teorema di Parseval
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 ...
Convergenza delle serie di Fourier
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 ...
Serie di Fourier a tempo discreto
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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