Title :
On the input output behavior of the Hilbert transform
Author_Institution :
Broadband Mobile Commun. Networks, Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin GmbH, Germany
Abstract :
In this paper the behavior of the Hilbert transform is investigated. It is well known that the Hilbert transform is stable with respect to the energy norm. However it is shown in the paper that the causal form of the Hilbert transform is not stable with respect to the energy norm
Keywords :
Hilbert transforms; causality; Hilbert transform; causal form; energy norm; input output behavior; Broadband communication; Digital signal processing; Discrete transforms; Electronic mail; Equations; Frequency response; Linearity; Mobile communication; Sufficient conditions; Time invariant systems;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778815
