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In voice analysis, the parameters estimation of a glottal model, an analytic description of the deterministic component of the glottal source, is a challenging question to assess voice quality in clinical use or to model voice production for speech transformation and syn- thesis using a priori constraints. In this paper, we first describe the Function of Phase-Distortion (FPD) which allows to characterize the shape of the periodic pulses of the glottal source independently of other features of the glottal source. Then, using the FPD, we de- scribe two methods to estimate a shape parameter of the Liljencrants- Fant glottal model. By comparison with state of the art methods us- ing Electro-Glotto-Graphic signals, we show that the one of these method outperform the compared methods.