Applications of Power Series

Key Questions

  • An important application of power series in the field of engineering is spectrum analysis.

    In radio, audio, and light applications, it is very useful to be able to receive a wide range of frequencies and be able to pinpoint which frequencies are the loudest/brightest. By using a form of power series called the Fourier Series/Fourier Transform, we are able to do this mathematically. This algorithm is used in everything from instrument tuners to deep-space telescopes, and learning power series is very important to understanding it.