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This paper introduces a novel technique for reconstructing the phase ofmodified spectrograms of audio signals. From the analysis of mixtures ofsinusoids we obtain relationships between phases of successive time frames inthe Time-Frequency (TF) domain. To obtain similar relationships overfrequencies, in particular within onset frames, we study an impulse model.Instantaneous frequencies and attack times are estimated locally to encompassthe class of non-stationary signals such as vibratos. These techniques ensureboth the vertical coherence of partials (over frequencies) and the horizontalcoherence (over time). The method is tested on a variety of data anddemonstrates better performance than traditional consistency-based approaches.We also introduce an audio restoration framework and observe that our techniqueoutperforms traditional methods.

Phase reconstruction of spectrograms with linear unwrapping: application to audio signal restoration