17.6 PERIODIC WAVEFORM GENERATION USING FOURIER SERIES
All periodic waveforms can be expressed as summation of sine and cosine terms of fundamental frequencies and harmonics. This is a very useful technique in Electronics for studying periodic waveforms, designing filter, etc. The details of Fourier series are presented in Box 17.1.
BOX 17.1 Fourier Series
Periodic functions of interest are generally functions of time. However, when we are analysing a non-sinusoidal wave, it is more natural to express the wave as function of angle theta, where theta = 2 * π which corresponds to the period of wave.
A given non-sinusoidal function f(θ) can be represented by the trigonometric series
f(θ) = a0 + ∑ n = 1 to inf (an cos nθ + bn sin nθ)
= a0 + a1 ...
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