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We present here a new method for the simultaneous estimation of the derivative glottal waveform and the vocal tract filter. The algorithm is pitch-synchronous and uses overlapping frames of several glottal cycles to increase the robustness and quality of the estimation. Two parametric models for the glottal waveform are used: the KLGLOTT88 during the convex optimization iteration, and the LF model for the final parametrization. We use a synthetic corpus using real data published in several studies to evaluate the performance. A second corpus has been specially recorded for this work, consisting of isolated vowels uttered with different voice qualities. The algorithm has been found to perform well with most of the voice qualities present in the synthetic data-set in terms of glottal waveform matching. The performance is also good with the real vowel data-set in terms of resynthesis quality.