Medical Biophysics 3505F Lecture Notes - Lecture 6: Fourier Series, Fourier Analysis, Square Wave

• School: Western University
• Department: Medical Biophysics
• Course: Medical Biophysics 3505F
• Professor: Niel Gelman

Document Summary

This slide provides an example of a fourier series and the calculation of the corresponding fourier coefficients. In this case the signal is a so-called square wave. It is set up so as to be an odd function of time, so the sine fourier series is applied. The fourier coefficients will be calculated during the class (on the white board). The resulting fourier coefficients are provided (and illustrated) near the bottom of the slide. This slide illustrates the addition of the first three fourier components (sine waves in this case) of the square wave. Even with only three frequency components the resulting signal is starting to look a bit like a square wave. If more frequency components (higher harmonics) are added (not shown) the resulting signal would progressively approach the shape of a square wave. This slide provides the fourier series in complex form.