Section 25.6
Fourier Series (Full)
If a function is neither even nor odd, or defined on , we generally need both sets.
1
Introduction
This is the standard form used in signal processing.
2
Full Formula
Note the change to and limits .
3
Worked Examples
Example 1: Sawtooth Wave
on .
Function is odd.
automatically.
Reduces to Fourier Sine Series (which we solve on with factor 2).
.
Example 2: Shifted Pulse
if , 0 else on .
Neither even nor odd.
(Average is 0.5).
We will have both and terms.
Example 3: Interactive
4
Practice Quiz
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