Stabilitaetsverhalten der kausalen Variante des idealen Tiefpasses
The paper is published:
Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 53, 111-123 (1999)
Abstract: In this paper the behaviour of the causal variant of the ideal low-pass is investigated. It is
- 93A25 Input-output systems
- 93C62 Digital systems
- 94A12 Signal theory (characterization, reconstruction, etc.)
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.)