Talk:Crenel function

Boxcar function

This appears to be another name for Boxcar function. Deltahedron (talk) 07:19, 29 March 2014 (UTC)[reply]

Or more precisely a special case of it with a unit height and an interval symmetric around the origin. I have tagged it for a proposed merge. —David Eppstein (talk) 03:44, 31 March 2014 (UTC)[reply]

Fourier transform

The Fourier transform of a step function involves sinc functions. On the other hand, the Fourier series is for a periodic function. What is the reference here? Deltahedron (talk) 07:39, 29 March 2014 (UTC)[reply]

What is the period??

The stated definition of this function doesn't say what the period is!! Michael Hardy (talk) 14:45, 29 March 2014 (UTC)[reply]

The definition as stated does not make the function periodic, but the characteristic function of an interval. However it appears from the reference [2] that the definition is intended to have it a periodic function. If so, then it is a variant of Square wave. The Fourier series is that of a function of period 1. Perhaps the definition should depend on

x{\bmod {1}}

. Deltahedron (talk) 17:09, 29 March 2014 (UTC)[reply]