13.2 THE EXPONENTIAL FOURIER SERIES
Having settled the ‘why’ of Fourier series we move on to the ‘how’ of Fourier series now.
Let v(t) be a periodic function of time and let it satisfy the conditions required to be satisfied for its expansion in terms of sinusoids to exist. Let the period of v(t) be T s and let its angular frequency be ω0 rad/s (ω0 = 2π/T). Then, Fourier theorem, in effect, states that v(t) may be represented by the infinite series
Using summation notation we write this series as,
Exponential Fourier series synthesis ...
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