Holger Boche
Stabilitaetsverhalten der kausalen Variante des idealen Tiefpasses
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 53, 111-123 (1999)

MSC:

93A25 Input-output systems

93C62 Digital systems

94A12 Signal theory (characterization, reconstruction, etc.)

Abstract: In this paper the behaviour of the causal variant of the ideal low-pass is investigated. It is
shown that this system is not stable with respect to the energy norm. A construction of an input
signal with finite energy is given in the paper such that the output signal has an infinite energy.
This result solves a problem proposed by Professor Mathis.
Keywords: Input-output systems, Digital systems, Signal theory (characterization, reconstruction, etc.)