Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. On the convolution of signals with finite energy and relations to the behaviour of the low pass
 Electrical engineering 81 (1998), No.4, pp.263270 ISSN: 00039039 ISSN: 09487921 

 German 
 Journal Article 
 Fraunhofer HHI () 
 convolution; lowpass filters; signals convolution; finite energy; low pass behaviour; causal variant; energy norm; finite energy input signal; infinite energy output signal; low pass filter 
Abstract
In this paper the behaviour of the causal variant of the ideal lowpass is investigated. It is shown that this system is not stable with respect to the energy norm. 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.