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Q1 — Série de Fourier - Coggle Diagram
Q1 — Série de Fourier
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Importance
Without Fourier, we could only encode data like old FM radios
WiFi modulation uses orthogonal combinations of amplitude and phase to encode every bit in a stream, and even makes room for redundant data to counter the loss due to fading, reflections, multi-path, etc.
Fourier methods are definitely a widely applied tool of analysis. They are used in all areas of signal processing. They are used in many computational algorithms that require convolutions that have nothing to do with signals. They are used in numerical solutions of ordinary and partial differential equations which can be used to model almost anything. The number of applications and fields touched by Fourier methods is so large that I could spend hours writing a list that would still not be exhaustive.
Definition
The Fourier series Sn(x) represents a synthesis of a periodic function s(x) by summing harmonically related sinusoidal (called harmonics) whose coefficients are determined by harmonic analysis.
