Abstract
A concept of statistical multiresolution analysis in amplitude-frequency domain is proposed, which is to employ the wavelet transform on the statistical character of a signal in amplitude domain. In terms of the theorem of generalized ergodicity, an algorithm to estimate the transform coefficients based on the amplitude statistical multiresolution analysis (AMA) is presented. The principle of applying the AMA to Synthetic Aperture Radar (SAR) image processing is described, and the good experimental results imply that the AMA is an efficient tool for processing of speckled signals modeled by the multiplicative noise.
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Simard, M., DeGrandi, G., Thomson, K.P.B. et al., Analysis of speckle noise contribution on wavelet decomposition of SAR images, IEEE Trans on Geoscience and Remote Sensing, 1998, 36(6): 1953–1962.
Bijaoui, A. Fang Yanling, Bobichon, Y. et al., The Analysis of SAR Images by Multiscale Methods, in Image Processing, 1996, Proceedings, International Conference, Lausanne, Switzerland Vol. 3, 1996, 895–898.
Hervet, E., FjortofT, R., Marthon, P. et al., Comparison of wavelet-based and statistical speckle filters, European Symposium on Remote Sensing, SAR Image Analysis, Modelling, and Techniques III, Barcelona, Spain, Vol. SPIE 3497, 1998, 21–25.
Sun, H., Yao, T. R., On discrete-amplitude signal analysis and its applications, Science in China, Ser. E, 1997, 40(3): 243–249.
Lee, Y. W., Statistical Theory of Communication, New York: John Wiley and Sons Inc, 1967, 200–206.
Donoho, D. L., De-noising by soft-thresholding, IEEE Trans on Information Theory, 1995, 41(3): 613–627.
Maître, H. (ed.), Le traitement des Images de radar RSO, Paris: Hermès Science Europe Ltd., 2001.
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Sun, H., Guan, B. & Maitre, H. Statistical multiresolution analysis in amplitude-frequency domain. Sci China Ser F 47, 518–526 (2004). https://doi.org/10.1007/BF02901661
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DOI: https://doi.org/10.1007/BF02901661