Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is there a way to obtain the Fourier transform of a function (e.g., sinc) without the Gibbs phenomenon?

share|cite|improve this question
up vote 2 down vote accepted

The Gibbs phenomenon is a property of the Fourier transform. Any way to produce the correct Fourier coefficients will show the Gibbs phenomenon. You can produce a different series, whose partial sums are not the partial sums of the Fourier series, to reduce or eliminate the Gibbs phenomenon. One such method is to use the Lanczos sigma factor.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.