A Statistical Analysis of the 2D Discrete Wavelet Transform
نویسندگان
چکیده
The aim of this paper is a complete statistical analysis of the two dimensional discrete wavelet transform, 2D DWT. This analysis represents a generalization of the statistical analysis of the 1D DWT, already reported in literature. The probability density function, the correlation and the first two moments of the coefficients of the 2D-DWT are computed. The asymptotic behaviour of this transform is also studied. The results obtained were used to design a new denoising system dedicated to the processing of SONAR images.
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