Skip to main content

Masked Positive Semi-definite Tensor Interpolation

  • Conference paper
  • First Online:
Latent Variable Analysis and Signal Separation (LVA/ICA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9237))

Abstract

Time-frequency constrained interpolation of audio has proven to be an effective technique in removing a wide variety of acoustic disturbances. Traditionally these techniques assume that the signal is stationary for the duration of the interpolation, which limits the types of disturbances that can be addressed. In this paper we propose masked positive semi-definite tensor factorisation followed by a novel form of multi-channel spectral subtraction to solve the problem, and we demonstrate excellent results on some real-world examples. The proposed methods can remove disturbances that were previously considered highly challenging to interpolate, for example a burst of wind noise in a voice recording.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Godsill, S., Rayner, P.: Digital Audio Restoration - A Statistical Model Based Approach, pp. 153–163. Springer, London (1998)

    Book  Google Scholar 

  2. Betts, D.A.: Method and apparatus for audio signal processing. US Patent 7 978 862 (2011)

    Google Scholar 

  3. Fevotte, C., Bertin, N., Durrieu, J.-L.: Nonnegative matrix factorization with the Itakura-Saito Divergence: with application to music analysis. Neural Comput. 21(3), 793–830 (2008)

    Article  Google Scholar 

  4. Févotte, C., Ozerov, A.: Notes on nonnegative tensor factorization of the spectrogram for audio source separation: statistical insights and towards self-clustering of the spatial cues. In: Aramaki, M., Jensen, K., Kronland-Martinet, R., Ystad, S. (eds.) CMMR 2010. LNCS, vol. 6684, pp. 102–115. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  5. Ozerov, A., Fevotte, C.: Multichannel nonnegative matrix factorization in convolutive mixtures. With application to blind audio source separation. In: IEEE International Conference on Acoustics, Speech and Signal Processing. ICASSP 2009, pp. 3137–3140, April 2009

    Google Scholar 

  6. Sawada, H., Kameoka, H., Araki, S., Ueda, N.: Efficient algorithms for multichannel extensions of Itakura-Saito nonnegative matrix factorization. In: 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 261–264, March 2012

    Google Scholar 

  7. Laurberg, H., Christensen, M.G., Plumbley, M.D., Hansen, L.K., Jensen, S.H.: Theorems on positive data: on the uniqueness of nmf. Comput. Intell. Neurosci. 2008, 1–9 (2008)

    Article  Google Scholar 

  8. King, B., Févotte, C., Smaragdis, P.: Optimal cost function and magnitude power for NMF-based speech separation and music interpolation. In: 2012 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), pp. 1–6. IEEE (2012)

    Google Scholar 

  9. Mohammadiha, N., Dodo, S.: Transient noise reduction using nonnegative matrix factorization. In: 2014 4th Joint Workshop on Hands-free Speech Communication and Microphone Arrays (HSCMA), pp. 27–31. IEEE (2014)

    Google Scholar 

  10. Bansal, D., Raj, B., Smaragdis, P.: Bandwidth expansion of narrowband speech using non-negative matrix factorization. In: INTERSPEECH, pp. 1505–1508 (2005)

    Google Scholar 

  11. Smaragdis, P., Raj, B., Shashanka, M.: Missing data imputation for spectral audio signals. In: IEEE International Workshop on Machine Learning for Signal Processing. MLSP 2009, pp. 1–6. IEEE (2009)

    Google Scholar 

  12. de Leeuw, J.: Block-relaxation algorithms in statistics. In: Bock, H.-H., Lenski, W., Richter, M.M. (eds.) Information Systems and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization, pp. 308–324. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dave Betts .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Betts, D. (2015). Masked Positive Semi-definite Tensor Interpolation. In: Vincent, E., Yeredor, A., Koldovský, Z., Tichavský, P. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2015. Lecture Notes in Computer Science(), vol 9237. Springer, Cham. https://doi.org/10.1007/978-3-319-22482-4_52

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22482-4_52

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22481-7

  • Online ISBN: 978-3-319-22482-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics