Skip to main content

Recursive Hyperspectral Sample Processing of Maximum Likelihood Estimation

  • Chapter
  • First Online:
Real-Time Recursive Hyperspectral Sample and Band Processing
  • 668 Accesses

Abstract

Chapter 9 presents a theory of recursive hyperspectral sample processing of linear spectral mixture analysis (RHSP-LSMA) to form an adaptive linear mixing model (ALMM) that can adapt to the signatures, referred to as virtual signatures (VSs), generated directly from data in an unsupervised and recursive manner. This chapter considers an alternative approach to RHSP-LSMA, called recursive hyperspectral sample processing of maximal likelihood estimation (RHSP-MLE), that uses MLE error instead of orthogonal projection (OP) residual used by recursive hyperspectral sample processing of OSP (RHSP-OSP) in Chap. 8 and least-squares error (LSE) used by RHSP-LSMA as a criterion to generate VSs. Following approaches similar to those described in Chaps. 8 and 9, this chapter develops a theory of RHSP-MLE in conjunction with ALMM to generate unknown VSs recursively in an unsupervised manner, as RHSP-LSMA does, while implementing a binary composite hypothesis testing-based Neyman–Pearson detector (NPD) at the same time to automatically determine when RHSP-MLE should stop generating VSs.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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

References

  • Adams, J.B., and M.O. Smith. 1986. Spectral mixture modeling: a new analysis of rock and soil types at the Viking lander 1 suite. Journal of Geophysical Research 91(B8): 8098–8112.

    Article  Google Scholar 

  • Adams, J.B., M.O. Smith, and A.R. Gillepie. 1989. Simple models for complex natural surfaces: a strategy for hyperspectral era of remote sensing. In Proceedings of IEEE international geoscience and remote sensing symposium ‘89, 16–21.

    Google Scholar 

  • ———. 1993. Image spectroscopy: interpretation based on spectral mixture analysis. In Remote geochemical analysis: elemental and mineralogical composition, ed. C.M. Pieters and P.A. Englert, 145–166. Cambridge: Cambridge University Press.

    Google Scholar 

  • Boardman, J.W. 1994. Geometric mixture analysis of imaging spectrometry data. In International geoscience and remote sensing symposium, vol. 4, 2369–2371.

    Google Scholar 

  • Chang, C.-I. 1998. Further results on relationship between spectral unmixing and subspace projection. IEEE Transactions on Geoscience and Remote Sensing 36(3): 1030–1032.

    Article  Google Scholar 

  • ———. 2005. Orthogonal subspace projection revisited: a comprehensive study and analysis. IEEE Transactions on Geoscience and Remote Sensing 43(3): 502–518.

    Article  Google Scholar 

  • ———. 2007b. Overview. In Hyperspectral data exploitation: theory and applications, ed. C.-I. Chang, 1–16. New York: Wiley.

    Google Scholar 

  • ———. 2007c. Information-processed matched filters for hyperspectral target detection and classification. In Hyperspectral data exploitation: theory and applications, ed. C.-I. Chang, 47–74. New York: Wiley.

    Google Scholar 

  • ———. 2013. Hyperspectral data processing: algorithm design and analysis. Hoboken: Wiley.

    Book  MATH  Google Scholar 

  • ———. 2016. Real time progressive hyperspectral image processing: endmember finding and anomaly detection. New York: Springer.

    Book  MATH  Google Scholar 

  • Chang, C.-I., and Q. Du. 2004. Estimation of number of spectrally distinct signal sources in hyperspectral imagery. IEEE Transactions on Geoscience and Remote Sensing 42(3): 608–619.

    Article  Google Scholar 

  • Chang, C.-I., X. Zhao, M.L.G. Althouse, and J.-J. Pan. 1998b. Least squares subspace projection approach to mixed pixel classification in hyperspectral images. IEEE Transactions on Geoscience and Remote Sensing 36(3): 898–912.

    Article  Google Scholar 

  • Chang, C.-I., S. Chakravarty, and C.-S. Lo. 2010a. Spectral feature probabilistic coding for hyperspectral signatures. IEEE Sensors Journal 10(3): 395–409.

    Article  Google Scholar 

  • Chang, C.-I., X. Jiao, Y. Du, and H.M. Chen. 2011b. Component-based unsupervised linear spectral mixture analysis for hyperspectral imagery. IEEE Transactions on Geoscience and Remote Sensing 49(11): 4123–4137.

    Article  Google Scholar 

  • Chang, C.-I., W. Xiong, H.M. Chen, and J.W. Chai. 2011c. Maximum orthogonal subspace projection to estimating number of spectral signal sources for hyperspectral images. IEEE Journal of Selected Topics in Signal Processing 5(3): 504–520.

    Article  Google Scholar 

  • Chang, C.-I., C. Gao, and S.Y. Chen. 2015g. Recursive automatic target generation process. IEEE Geoscience and Remote Sensing Letters 12(9): 1848–1852.

    Google Scholar 

  • Dennison, P.E., and D.A. Roberts. 2003. Endmember selection for multiple endmember spectral mixture analysis using endmember average RMSE. Remote Sensing of Environments 87: 123–135.

    Article  Google Scholar 

  • Du,Q. 2012. A new sequential algorithm for hyperspectral endmember extraction. IEEE Geoscience and Remote Sensing Letters, vol. 9, no. 4, pp. 695–699, July 2012.

    Google Scholar 

  • Gao, C., and C.-I. Chang. 2014. Recursive automatic target generation process for unsupervised hyperspectral target detection. In 2014 I.E. international geoscience and remote sensing symposium (IGARSS), Quebec Canada, July 13–18.

    Google Scholar 

  • Gao, C., S.Y. Chen, and C.-I. Chang. 2014. Fisher’s ratio-based criterion for finding endmembers in hyperspectral imagery. In Satellite data compression, communication and processing X (ST146), SPIE international symposium on SPIE sensing technology + applications, Baltimore, MD, 5–9 May.

    Google Scholar 

  • Harsanyi, J.C., and C.-I. Chang. 1994. Hyperspectral image classification and dimensionality reduction: an orthogonal subspace projection approach. IEEE Transactions on Geoscience and Remote Sensing 32(4): 779–785.

    Article  Google Scholar 

  • Heinz, D., and C.-I. Chang. 2001. Fully constrained least squares linear mixture analysis for material quantification in hyperspectral imagery. IEEE Transactions on Geoscience and Remote Sensing 39(3): 529–545.

    Article  Google Scholar 

  • Kuybeda, O., D. Malah, and M. Barzohar. 2007. Rank estimation and redundancy reduction of high-dimensional noisy signals with preservation of rare vectors. IEEE Transactions on Signal Processing 55(12): 5579–5592.

    Article  MathSciNet  Google Scholar 

  • Langrebe, D.A. 2003. Signal theory methods in multispectral remote sensing. Hoboken: Wiley.

    Book  Google Scholar 

  • Poor, H.V. 1994. An introduction to detection and estimation theory, 2nd ed. New York: Springer.

    Book  MATH  Google Scholar 

  • Ren, H., and C.-I. Chang. 2003. Automatic spectral target recognition in hyperspectral imagery. IEEE Transactions on Aerospace and Electronic Systems 39(4): 1232–1249.

    Article  Google Scholar 

  • Richards, J.A., and X. Jia. 1999. Remote sensing digital image analysis. New York: Springer.

    Book  Google Scholar 

  • Roger, R.E., and J.F. Arnold. 1996. Reliably estimating the noise in AVIRIS hyperspectral imagers. International Journal of Remote Sensing 17(10): 1951–1962.

    Article  Google Scholar 

  • Schowengerdt, R.A. 1997. Remote sensing: models and methods for image processing, 2nd ed. New York: Academic.

    Google Scholar 

  • Settle, J.J. 1996. On the relationship between spectral unmixing and subspace projection. IEEE Transactions on Geoscience and Remote Sensing 34(4): 1045–1046.

    Article  Google Scholar 

  • Settle, J.J., and N.A. Drake. 1993. Linear mixing and estimation of ground cover proportions. International Journal of Remote Sensing 14(6): 1159–1177.

    Article  Google Scholar 

  • Shimabukuro, Y.E., and J.A. Smith. 1991. The least-squares mixing models to generate fraction images derived from remote sensing multispectral data. IEEE Transactions on Geoscience and Remote Sensing 29: 16–20.

    Article  Google Scholar 

  • Tu, T.M., C.-H. Chen, and C.-I. Chang. 1997. A posteriori least squares orthogonal subspace projection approach to weak signature extraction and detection. IEEE Transactions on Geoscience and Remote Sensing 35(1): 127–139.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Chang, CI. (2017). Recursive Hyperspectral Sample Processing of Maximum Likelihood Estimation. In: Real-Time Recursive Hyperspectral Sample and Band Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-45171-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-45171-8_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45170-1

  • Online ISBN: 978-3-319-45171-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics