A continuous wavelet transform (CWT) based on the Gabor wavelet function is used to identify the damping of a multi-degree-of-freedom system. The basic procedures are already known, especially the identification with a Morlet CWT. This study enhances the already known procedures in sense of reducing the edge-effect. This makes it possible to identify the damping of high frequency modes. Three method are shown: reduced time spread of the wavelet function method, equivalent window area method and the reflected window method. The procedures are demonstrated on signals acquired from the lateral vibration of a uniform beam. We were able to identify the damping up to the 6th natural frequency.