Starting from the well.known definition (1) of the Sign function, a different compact definition has the advantage that leads also to compact definitions for other useful functions as, for example, the Dirac impuls and the unity step function. Extensions using single periodical functions leads to compact relations for some test periodical signals, the Ladder function and its derivative, the periodical Dirac impulse and then, to a ‘quantized’ operator. An extension for double (and/or multiple) periodical functions is also presented. It may find out applications in image and/or field theory.


Periodical Function Sign Function Elliptical Function Trigonometric Function Jacobi Function 
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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Dan Ciulin
    • 1
  1. 1.E-I-ALausanneSwitzerland

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