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Signal Reconstruction Based on the Relationship Between STFT Magnitude and Phase Spectra

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Proceedings of the 8th International Conference on Sciences of Electronics, Technologies of Information and Telecommunications (SETIT’18), Vol.2 (SETIT 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 147))

Abstract

Signal reconstruction by spectrogram inversion from short-time Fourier transform (STFT) magnitude spectrum has gained renewed interest since a few years. Actually, recent advances in compressive sensing made it possible to recover high quality signals from partial spectral data. In addition, recent theoretic works have revealed novel relationships between STFT magnitude and phase. Therefore, in this paper, a novel algorithm for signal reconstruction, based on the explicit relationship between STFT magnitude and phase is presented in many variants. Objective evaluation using signal-to-error ratio (\(SER_{dB}\)) shows the advantages and the limits of each variant.

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Authors and Affiliations

  1. Ecole Nationale d’Ingénieurs de Tunis, Signal, Image and Technology of Information, University Tunis El Manar, Tunis, Tunisia

    Raja Abdelmalek, Zied Mnasri & Faouzi Benzarti

Authors
  1. Raja Abdelmalek
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  2. Zied Mnasri
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  3. Faouzi Benzarti
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Corresponding author

Correspondence to Raja Abdelmalek .

Editor information

Editors and Affiliations

  1. SETIT Lab, University of Sfax, Sfax, Tunisia

    Med Salim Bouhlel

  2. DIBRIS - University of Genoa, Genova, Genova, Italy

    Stefano Rovetta

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Abdelmalek, R., Mnasri, Z., Benzarti, F. (2020). Signal Reconstruction Based on the Relationship Between STFT Magnitude and Phase Spectra. In: Bouhlel, M., Rovetta, S. (eds) Proceedings of the 8th International Conference on Sciences of Electronics, Technologies of Information and Telecommunications (SETIT’18), Vol.2. SETIT 2018. Smart Innovation, Systems and Technologies, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-030-21009-0_3

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