Fourier series properties provide insight and simplify working with Fourier series expansions. This lesson introduces you to the most important and commonly used Fourier series properties and gives you examples of their use. These properties are direct consequence of the nature of sinusoids. Similar properties exist for the other Fourier representations, so understanding the properties of the Fourier series gives you an excellent base for the properties of the Fourier transform, discrete-time Fourier transform, and discrete Fourier transform.
