Skip to main content

Sensitivity of Joint Approximate Diagonalization in FD BSS

  • Conference paper
Latent Variable Analysis and Signal Separation (LVA/ICA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6365))

Abstract

This paper investigates the sensitivity of the joint approximate diagonalization of a set of time varying cross-spectral matrices for blind separation of convolutive mixtures of speech signals. We introduce the multitaper method of cross-spectrum estimation. Based on the work of [1] factors affecting the sensitivity of the joint approximate diagonalization problem were investigated. We studied the effect of the number of matrices in the set, and observed that there exists a link between the uniqueness of the joint diagonalizer measured by modulus of uniqueness parameter and the estimation of demixing system parameters.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Afsari, B.: Sensitivity analysis for the problem of matrix joint diagonalization. SIAM J. Matrix AA. 30, 1148–1171 (2008)

    Article  MathSciNet  Google Scholar 

  2. Parra, L., Spence, C.: Convolutive blind separation of non-stationary sources. IEEE Trans. Speech & Audio P. 8, 320–327 (2000)

    Article  Google Scholar 

  3. Serviere, C., Pham, D.T.: Permutation correction in the frequency domain in blind separation of speech mixtures. EURASIP J. App. SP, 1–16 (2006)

    Google Scholar 

  4. Walden, A.T.: A unified view of multitaper multivariate spectral estimation. Biometrika 87, 767–788 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Wu, H.C., Principe, J.C.: Simultaneous diagonalization in the frequency domain (SDIF) for source separation. In: 1st Int. Workshop ICA & Signal Separation, pp. 245–250 (1999)

    Google Scholar 

  6. Matsuoka, K.: Minimal distortion principle for blind source separation. In: 41st SICE Conf., pp. 2138–2143 (2002)

    Google Scholar 

  7. Pham, D.T.: Joint approximate diagonalization of positive definite Hermitian matrices. SIAM J. Matrix AA. 22, 1136–1152 (2001)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bulek, S., Erdol, N. (2010). Sensitivity of Joint Approximate Diagonalization in FD BSS. In: Vigneron, V., Zarzoso, V., Moreau, E., Gribonval, R., Vincent, E. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2010. Lecture Notes in Computer Science, vol 6365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15995-4_47

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-15995-4_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15994-7

  • Online ISBN: 978-3-642-15995-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics