The following table or figure may be downloaded to PowerPoint for personal use in teaching and presentations. This feature is available to all subscribers to the journal.

You MUST read and follow the guidelines at Request to Reproduce AJR Content if you are distributing or using AJR content beyond academic use (limited distribution, non-revenue producing, or educational purposes).

(Downloading may take up to 30 seconds.
If the slide opens in your browser, select File -> Save As to save it.)
Click on image to view larger version.

Fig. 3 —Fourier series for g(t). A complicated wave g(t) can be rewritten as an infinite sum of simple cosine and sine waves by progressively increasing their fundamental frequency f by integers n, and by varying their amplitudes, a_n and b_n. If we substitute g(t) = 1 (a square wave) into the equations shown here, we obtain expressions for a₀, a_n, and b_n that can be inserted into the Fourier series. After simplifying, we are left with a Fourier approximation for a square wave.