Fourier Series

Fourier Series is the “fundamental frequency”

Fourier Series is the “fundamental frequency”

Fourier Series Integration limits: when , then so we get:

Fourier Series Euler:

Fourier Series We can show ; recall that

Phasors: Phasors

Symmetry Odd f(-t) =-f(t) Fourier: sine terms only Even f(t) = f(-t) Fourier: cosine terms only Neither

Half-wave symmetry: has no even harmonics | | t t+T/2

Example of non-symmetric waveform:

Fundamental Signals Unit Step:

Fundamental Signals Unit Step: Unit Impulse