Skip to main content
Log in

Independent Component Analysis by Using Joint Cumulants and its Application to Remote Sensing Images

  • Published:
Journal of VLSI signal processing systems for signal, image and video technology Aims and scope Submit manuscript

Abstract

In this paper, a joint cumulant independent component analysis (JC-ICA) algorithm is presented. It utilizes the higher order joint cumulants to extract independent components and can be implemented efficiently by a neural network. Its application in SAR (synthetic aperture radar) image analysis is presented and a comparison is also made with two other ICA methods. The results show the usage in image analysis and separation. Because the algorithm is based on statistics of order higher than the second, it is suitable also for applications to data with non-Gaussian distributions in blind signal processing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. Oja, “The Nonlinear PCA Learning Rule in Independent Component Analysis,” Neurocomputing, vol. 17, no. 1, 1997.

  2. A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis, Wiley, 2001.

  3. L. Wang and J. Karhunen, “A Unified Neural Bigradient Algorithm for Robust PCA and MCA,” Int. J. Neural Syst, vol. 7, 1996.

  4. L. Wang, J. Karhunen, and E. Oja, “A Bigradient Optimization Approach for Robust PCA, MCA and Source Separation,” Proc. 1995 IEEE Int. Conference on Neural Networks, 1995.

  5. A. Hyvarinen and E. Oja, “A Fast Fixed-Point Algorithm for Independent Component analysis,” Neural Computation, vol. 9, no. 7, 1997.

  6. A.J. Bell and T.J. Sejnowski, “An Information-Maximization Approach to Blind Separation and Blind Deconvolution,” Neural Computation, vol. 7, no. 6, 1995.

  7. T.W. Lee, M. Girolami, and T. Sejnowski, “Independent Component Analysis Using an Extended Infomax Algorithm for Mixed Subgaussian and Supergaussian Sources,” Neural Computation, vol. 11, no. 2, 1999.

  8. J.F. Cardoso and B. Laheld, “Equivariant Adaptive Source Separation,” IEEE Trans. on Signal Processing, vol. 44, no. 12, 1996.

  9. J.F. Cardoso and A. Souloumiac, “Jacobi Angles for Simultaneous Diagonalization,” SIAM Journal on Martix Analysis and Applications, vol. 17, no. 1, 1996.

  10. P. Comon, “Independence Component Analysis—A New Concept?” Signal Processing, vol. 36, 1994, pp. 287-314.

    Article  MATH  Google Scholar 

  11. S. Amari, A. Cichocki, and H.H. Yang, “A New Learning Algorithm for Blind Source Separation,” Advances in Neural Information Processing Systems, MIT Press, 1996.

  12. S. Amari and A. Cichocki, “Adaptive Blind Signal Processing—Neural Network Approaches,” Proceedings of the IEEE, vol. 86, no. 10, 1998, pp. 2026-2048.

    Article  Google Scholar 

  13. A. Cichocki, R.E. Bogner, et al., “Modified Herault-Jutten Algorithms for Blind Separation of Sources,” Digital Signal Processing, vol. 7, 1997, pp. 80-93.

    Article  Google Scholar 

  14. A. Cichocki, W. Kasprzak, and S. Amari, “Neural Network Approach to Blind Separation and Enhancement of Images,” Signal Processing VIII: Theories and Applications, EURASIP/LINT Publ, vol. I, 1996, pp. 579-582.

    Google Scholar 

  15. C. Jutten and J. Herault, “Blind Separation of Sources, Part I: An Adaptive Algorithm on Neuromimetic Architecture,” Signal Processing, vol. 24, 1991.

  16. J. Cardoso, “High-order Contrasts for Independent Component Analysis,” Neural Computations, vol. 11, 1999, pp. 157-192.

    Article  Google Scholar 

  17. C.H. Chen and X. Zhang, “Independent Component Analysis for Remote Sensing Study,” in Proceedings of SPIE—The International Society for Optical Engineering Proceedings of the 1999, Image and Signal Processing for Remote Sensing V, vol. 3871, 1999, pp. 150-158.

    Google Scholar 

  18. C.H. Chen and X. Zhang, “On the Roles of Independent Component Analysis in Remote Sensing,” PIERS 2000, Progress in Electromagnetics Research Symposium, Cambridge, MA, July 2000.

  19. X. Zhang and C.H. Chen, “A New Independent Component Analysis (ICA) Method and its Application to SAR Images,” Neural Networks for Signal Processing black XI, Proceedings of the 2001 Workshop, D.J. Miller et al. (Eds.), 2001, pp. 283-292.

  20. H. Szu and J. Buss, “ICA Neural Net to Refine Remote Sensing With Multiple Labels,” in Proceedings of SPIE—The International Society for Optical Engineering Wavelet Applications VII, vol. 4056, 2000, pp. 32-49.

    Article  Google Scholar 

  21. S. Chiang, C.I. Chang, and I. Ginsberg, “Unsupervised Hyperspectral Image Analysis Using Independent Component Analysis,” Proceedings of the 2000 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), vol. 7, 2000.

  22. T. Tu, “Unsupervised Signature Extraction and Separation in Hyperspectral Images: A Noise-Adjusted Fast Independent Component Analysis Approach,” Optical Engineering, vol. 39, 2000.

  23. T. Yoshida and S. Omatu, “Pattern Recognition with Neural Networks,” Proceedings of the 2000 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), vol. 2, 2000, pp. 699-701.

    Google Scholar 

  24. A. Papoulis, Probability Random Variables and Stochastic Processes, New York: McGraw-Hill, 1984.

    MATH  Google Scholar 

  25. M. Rosenblatt, Stationary Sequences and Random Fields, Boston: Birkhauser, 1985.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, X., Chen, C. Independent Component Analysis by Using Joint Cumulants and its Application to Remote Sensing Images. The Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology 37, 293–303 (2004). https://doi.org/10.1023/B:VLSI.0000027492.47536.d1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:VLSI.0000027492.47536.d1

Navigation