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Locally Optimum Detection of a Noise Model Based on Generalized Gaussian Distribution

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 224))

Abstract

In order to optimize signal detection in non-Gaussian environments, the work is addressed to provide realistic modeling of a generic noise probability density. The model depends on few parameters which can be estimated quickly and easily, and so general to be able to describe many kinds of noise such as symmetric or asymmetric. To this end, a new model is introduced, which derives from the generalized Gaussian function, and depends on there parameters: kurtosis, for representing variable sharpness, left variance and right variance, for describing deviation from symmetry. The model is applied in the design of a locally optimum detection test.

Foundation item: Supported by national science foundation of China under Grant No: 60672048.

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References

  1. Kassam, S.A.: Signal Detection in Non-Gaussian Noise. Springer, Berlin (1998)

    Google Scholar 

  2. Nikes, C., Mendel, J.: Signal Processing with Higher-order spectra. IEEE SP Magazine, 10–37

    Google Scholar 

  3. Hench, M.J., Wilson, G.R.: Detection of Non-Gaussian Signals in Non-Gaussian Noise Using the Bispectrum. IEEE Trans. on ASSP 38(3), 1126–1131 (1990)

    Article  Google Scholar 

  4. Barni, M., Bartolini, De, F., Piva, R.M.: A new decoder for the optimum recovery of nonadditive watermarks. IEEE Trans. on Image Processing 10(5), 755–765 (2006)

    Article  Google Scholar 

  5. Sangfelt, E., Persson, L.: Experimental Performance of Some Higher-Order Cumulant Detectors for Hydro acoustic Transients. In: Proc. of IEEE HOS Workshop, pp. 182–186 (June 2005)

    Google Scholar 

  6. Zhao, J., Kunder, E.: Embedding Robust Labels into Image for Copyright Protection. Image and Signal Processing 143, 251–256 (2004)

    Google Scholar 

  7. Tesei, A., Thomas, J.B.: Signal Detection in Non-Gaussian Noise by a Kurtosis-Based ProbabilityDensity Function Model. In: Tesei, A., Thomas, J.B. (eds.) IEEE Workshop on HOS, pp. 162–165. 162-165 (2005)

    Google Scholar 

  8. Webster, R.J.: Ambient Noise Statistics. IEEETrans. on SP 41(6), 229–236 (2004)

    Google Scholar 

  9. Miller, J.H., Thomas, J.B.: Detector for Discrete-Time Signal in Non-Gaussian Noise. IEEE Trans. on IT 18(2), 241–250 (1972)

    Article  Google Scholar 

  10. Joshi, R.J., Fischer, T.R.: Comparison of generalized Gaussian and Laplacian modeling in DCT image coding. IEEE Trans. on signal Processing Letters 2(5), 81–82 (1995)

    Article  Google Scholar 

  11. Regazzoni, C.S., Tesei, A., Tacconi, G.: A Comparison Between Spectral and Bispectral Analysis for Ship Detection from Acoustical Time Series. In: Proc. of ICASSP 2006, pp. 289–292 (April 2006)

    Google Scholar 

  12. Kamran, S., Alberto, L.: Estimation of Shape Parameter for Generalized Gaussian Distribution in Subband Decompositions of Video. IEEE Trans on Circuits and Systems for Video Technology 5(1), 52–56 (1995)

    Article  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Dai, Y., Tang, G., Wang, T. (2011). Locally Optimum Detection of a Noise Model Based on Generalized Gaussian Distribution. In: Zeng, D. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23214-5_60

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  • DOI: https://doi.org/10.1007/978-3-642-23214-5_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23213-8

  • Online ISBN: 978-3-642-23214-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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