This page contains software and info reconstructing signals from spectrograms.
Single Pass Spectrogram Inversion
This is a companion page for the paper:
Beauregard, G., Harish, M. and Wyse, L. (2015), Single Pass Spectrogram Inversion, in Proceedings of the IEEE International Conference on Digital Signal Processing. Singapore, 2015.
Here is a real-time SPSI demo which runs in the web browser and allows you to use your own mp3 files. The demo also supports time-scale modification, accomplished by varying the analysis step size during analysis.
Then there is this amazing toolbox:
Zdeněk Průša, Peter Balazs, Peter L. Søndergaard
A Non-iterative Method for Reconstruction of Phase from STFT Magnitude
and other work by Průša and his colleagues: list