Discussion #7 Example Problem
This problem illustrates how Fourier series are helpful tools for analyzing electronic
circuits.
Often in electronic circuits we need sinusoids of various frequencies…
But we may already have circuitry in the system that generates a clock signal…
Can we avoid having to build a sinusoidal oscillator by exploiting the clock signal?

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The box labeled “oscillator” in the figure below produces this signal.
Assume that the output impedance of the oscillator is very low so that the rest of the
circuit doesn’t load it (recall our previous discussions of loading).
Assume that the resistor is 800
Ω
, the capacitor is 1
μ
F, and the inductor is 250
μ
H
Let’s imagine that our job is to design circuitry to convert a square wave into a
sinusoid of 10000 Hz.
Suppose we have a square wave oscillator that generates
the following signal with a period of 100
μ
s: