Skip to main content

Null Space Pursuit Algorithm Based on a Fourth-Order Differential Operator

  • Conference paper
  • First Online:
The Proceedings of the Second International Conference on Communications, Signal Processing, and Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 246))

  • 623 Accesses

Abstract

The null space pursuit (NSP) algorithm based on a fourth-order differential operator is a method of signal processing. The NSP algorithm uses an adaptive operator to separate a signal into additive subcomponents. Furthermore, it is possible to design different operators to fit different signal models. In this paper, we propose a new type of a differential operator. We theoretically derive the new differential operator and then test the proposed method using simulated signals.

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
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Rilling G, Flandrin P (2008) One or two frequencies? the empirical mode decomposition answers. IEEE Trans Signal Process 56(1):85–95

    Article  MathSciNet  Google Scholar 

  2. Wu Z, Huang NE (2004) A study of the characteristics of white noise using the empirical mode decomposition method. Proceedings of the royal society of London (series A) 460: 1597–1611

    Google Scholar 

  3. Mallat S, Zhang Z (1993) Matching pursuits with time-frequency dictionaries. IEEE Trans Signal Process 41(12):3397–3415

    Article  MATH  Google Scholar 

  4. Peng SL, Hwang WL (2008) Adaptive signal decomposition based on local narrow band signals. IEEE Trans Signal Process 56(7):2669–2676

    Article  MathSciNet  Google Scholar 

  5. Peng SL, Hwang WL (2010) Null space pursuit: an operator-based approach to adaptive signal separation. IEEE Trans Signal Process 58(5):2475–2483

    Article  MathSciNet  Google Scholar 

  6. Xiyuan Hu (2011) Adaptive signal and image separation and its applications. Dissertation for the degree of doctor of philosophy, Institute of Automation Chinese Academy of Sciences, Beijing

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shuying Zhang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Xiao, W., Zhang, S. (2014). Null Space Pursuit Algorithm Based on a Fourth-Order Differential Operator. In: Zhang, B., Mu, J., Wang, W., Liang, Q., Pi, Y. (eds) The Proceedings of the Second International Conference on Communications, Signal Processing, and Systems. Lecture Notes in Electrical Engineering, vol 246. Springer, Cham. https://doi.org/10.1007/978-3-319-00536-2_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-00536-2_76

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-00535-5

  • Online ISBN: 978-3-319-00536-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics