Skip to main content

Signal Space Estimation: Application to Subspace Spectrum Analysis

  • Conference paper
  • First Online:
Ambient Communications and Computer Systems

Abstract

Algorithms like MUSIC are widely used for harmonic analysis of signal when there are limited numbers of data samples and harmonics are closely spaced. These algorithm works based on decomposing autocorrelation matrix of analyzed signal into signal space and noise space, but performance degraded if selected signal space and noise space are not chosen correctly. Our main contribution to this paper is the estimation of signal space and noise space for unknown signals so that subspace harmonic analysis technique can be applied to unknown signal too. Estimation of signal space is based on eigenvalue distribution of correlation matrix of analyzed signal. A threshold is calculated to differentiate between signal space and noise space. Performance of technique is shown through simulation.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
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

Similar content being viewed by others

References

  1. Candan, C.: A method for fine resolution frequency estimation from three DFT samples. IEEE Signal Process. Lett., 18, 351–354 (2011).

    Google Scholar 

  2. Pisarenko, V. F.: The retrieval of harmonics from a covariance function. Geophysics. J. Roy. Atron. Soc., 33, 347–366 (1973).

    Google Scholar 

  3. Stoica, P.; Söderström, T. S.: Statistical analysis of MUSIC and subspace rotation estimates of sinusoidal frequencies. IEEE Trans. Signal Process, 39, 1836–1847 (1991).

    Google Scholar 

  4. Roy, R.; Paulraj, P.; Kailath, T.: ESPRIT–a subspace rotation approach to estimation of parameters of cisoids in noise. IEEE Trans. Acoust., Speech, Signal Process., 34, 1340–1342 (1986).

    Google Scholar 

  5. Li, F.; Vaccaro, R. J.; Tufts, D. W.: Performance analysis of the statespace realization (TAM) and ESPRIT algorithms for DOA estimation. IEEE Trans. Antennas Propag., 39, 418–423 (1991).

    Google Scholar 

  6. Vlok, J. D.; Olivier, J.C.: Analytic approximation to the largest Eigenvalue distribution of a white Wishart matrix. IET Communications, 6, 1804–1811 (2012).

    Google Scholar 

  7. Kay, S. M.: Extensions for complex data and parameters. Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pappu Kumar Verma .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kumar, R., Verma, P.K. (2018). Signal Space Estimation: Application to Subspace Spectrum Analysis. In: Perez, G., Tiwari, S., Trivedi, M., Mishra, K. (eds) Ambient Communications and Computer Systems. Advances in Intelligent Systems and Computing, vol 696. Springer, Singapore. https://doi.org/10.1007/978-981-10-7386-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7386-1_14

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7385-4

  • Online ISBN: 978-981-10-7386-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics