Скачать или смотреть Signals & Systems #21 | Fourier Series - Periodic Signals & Harmonics

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In this first lesson of Lecture 10, we introduce the fundamental concept of Fourier Series - decomposing periodic signals into sinusoids.

Why Fourier? Real-world signals are often periodic (sound, AC, radio)
Periodic signal definition: x(t) = x(t+T), fundamental period
Fundamental frequency f₀ = 1/T, angular frequency ω₀ = 2π/T
Harmonics: integer multiples of fundamental frequency
Fourier Series synthesis equation: x(t) = a₀ + Σ[aₙcos(nω₀t) + bₙsin(nω₀t)]
DC component: average value over one period
Visual demonstration: square wave decomposition into harmonics

This is Part 1 of Lecture 10 in our Signals & Systems series.

Part of the AcEdumy Signals & Systems course.