Sigma approximation: Difference between revisions

Revision as of 19:13, 18 March 2005

Revision as of 19:52, 17 April 2005

Line 1:

In [[mathematics]], '''σ-approximation''' adjusts a [[Fourier series|Fourier summation]] to eliminate the [[Gibbs phenomenon]] which would otherwise occur at [[discontinuities]].

A σ-approximated summation can be written as follows,

Line 11:

is the '''Lanczos σ factor''', which is responsible for eliminating the Gibbs ringing phenomenon.

[[Category:Mathematical analysis]][[Category:NumericalFourier analysis]]

[[Category:Mathematical series]]

[[Category:Numerical analysis]]