Verhalten der Hilbert-Transformation für quasibandbegrenzte Signale

The behaviour of the Hilbert-Transform is investigated in the paper. At first band limited signals are considered. Some well known expressions of the Hilbert-Transform are given in the paper. However, almost all practical signals are not band limited. A new class of quasi band limited signals is proposed in the paper. It is shown that an exact classification of the behaviour is possible with the help of the new class of quasi band limited signals.