Explain few limitations of fourier series and how to overcome those limitations.

Limitations of Fourier series:

• ·         It can be used only for periodic inputs and thus not applicable for aperiodic one.
• ·         It cannot be used for unstable or even marginally stable systems.

Solution to first limitation is Fourier Transform, that is applicable for aperiodic also.

Solution to second limitation is Laplace transform by using e^st  .