Haarzellfunktion
Haarzellfunktion is a term sometimes encountered in German mathematical literature to denote the basic building blocks of the Haar wavelet system, or, more broadly, functions related to the Haar family. In standard terminology, the fundamental object is the Haar function (Haar-Funktion) or Haar wavelet, notationally used to construct simple, efficient representations of functions and signals.
The classic Haar mother wavelet h is a real-valued, piecewise constant function with compact support on the
Key properties include orthonormality of the family {h_{j,k}} in L^2(R), compact support on dyadic intervals, and
Note: the term Haarzellfunktion is not widely standardized; most sources refer to Haar-Funktion or Haar-Wavelet. When