Estimating a Signal from a Magnitude Spectrogram via Convex Optimization

Sun DL, Smith IJO. Estimating a Signal from a Magnitude Spectrogram via Convex Optimization. In: AES Convention 133. Audio Engineering Society; 2012. Paper 8785. Available from: https://aes.org/publications/elibrary-page/?id=16527

@inproceedings{Sun2012_16527,
  author = {Sun, Dennis L. and Smith, III, Julius O.},
  title = {{Estimating a Signal from a Magnitude Spectrogram via Convex Optimization}},
  booktitle = {AES Convention 133},
  note = {Paper 8785},
  year = {2012},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=16527}
}

TY  - CPAPER
TI  - Estimating a Signal from a Magnitude Spectrogram via Convex Optimization
AU  - Sun, Dennis L.
AU  - Smith, III, Julius O.
T2  - AES Convention 133
M1  - Paper 8785
PY  - 2012
DA  - 2012/10/06
UR  - https://aes.org/publications/elibrary-page/?id=16527
PB  - Audio Engineering Society
LA  - en
AB  - The problem of recovering a signal from the magnitude of its short-time Fourier transform (STFT) is a longstanding one in audio signal processing. Existing approaches rely on heuristics that often perform poorly because of the nonconvexity of the problem. We introduce a formulation of the problem that lends itself to a tractable convex program. We observe that our method yields better reconstructions than the standard Griffin-Lim algorithm. We provide an algorithm and discuss practical implementation details, including how the method can be scaled up to larger examples.
ER  -