Skip to main content

An Efficient Closed Form Approach to the Evaluation of the Probability of False Alarm of the ML-CFAR Detector in a Pulse-to-Pulse Correlated Clutter

  • Chapter
Signal Processing for Image Enhancement and Multimedia Processing

Part of the book series: Multimedia Systems and Applications Series ((MMSA,volume 31))

  • 1083 Accesses

Summary

The problem of adaptive CFAR regulation in a pulse-to-pulse partially Rayleigh correlated clutter is addressed. The clutter is modeled as a first-order Markov Gaussian process and its covariance matrix is assumed to be known. The theorem of residues is used to derive an exact expression for the probability of false alarm Pfa for the mean level (ML) detector. We show that it depends on the degree f pulse-to-pulse correlation of the clutter samples.

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 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barnard T J, Weiner D D (1996) Non-Gaussian Clutter Modeling with Generalized Spherically Invariant Random Vectors IEEE Transactions On Signal Processing 44:2384–2390

    Article  Google Scholar 

  2. Farina A, Gini F, Greco M, Verrazzani L (1997) High Resolution Sea Clutter Data: A Statistical Analysis of Recorded Live Data IEE Proceedings-F Vol. 144 3:121–130

    Google Scholar 

  3. Nohara T, Haykin S (1991) Canadian East Coast radar trials and the Kdistribution IEE Proceedings-F Vol 138 2:80–88

    Google Scholar 

  4. Farina A, Russo A (1986) Radar Detection of Correlated Targets in Clutter IEEE Transactions on Aerospace and Electrical Systems Vol 22 5:513–532

    Article  Google Scholar 

  5. Himonas S D, Barkat M (1990) Adaptive CFAR Detection in Partially Correlated Clutter IEE Proceedings-F Vol 137 5:387–394

    Google Scholar 

  6. Al Hussaini E K, El Mashade M B (1996) Performance of Cell-averaging and Order-statistic CFAR Detectors Processing Correlated Sweeps for Multiple Interfering Targets Signal Processing 49:111–118

    Article  MATH  Google Scholar 

  7. El Mashade M B(2000) Detection Analysis of CA Family of Adaptive Radar Schemes Processing M-correlated Sweeps in Homogeneous and Multiple-target Environments Signal Processing 80:787–801

    Article  MATH  Google Scholar 

  8. Ritcey J A (1985) Calculating Radar Detection Probabilities by Contour Integration. California PhD dissertation, University of California, San Diego

    Google Scholar 

  9. Hou Xiu-Ying et al. (1987) Direct Evaluation of Radar Detection Probabilities IEEE Transactions on Aerospace and Electrical Systems Vol. AES-23 4:418–423

    Article  Google Scholar 

  10. Barkat M (2005) Signal Detection and Estimation. In: Artech House (Second Edition) Boston

    Google Scholar 

  11. Laroussi T, Barkat M (2007) Adaptive ML-CFAR Detection for Correlated Chi-square Targets of all Fuctuation Models in Correlated Clutter and Multiple Target Situations ISSPA Sharjah United Arab Emirats

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Laroussi, T., Barkat, M. (2008). An Efficient Closed Form Approach to the Evaluation of the Probability of False Alarm of the ML-CFAR Detector in a Pulse-to-Pulse Correlated Clutter. In: Damiani, E., Yétongnon, K., Schelkens, P., Dipanda, A., Legrand, L., Chbeir, R. (eds) Signal Processing for Image Enhancement and Multimedia Processing. Multimedia Systems and Applications Series, vol 31. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-72500-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-72500-0_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-72499-7

  • Online ISBN: 978-0-387-72500-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics