This paper addresses the effects of nonlinear LOG compression on the amplitude of the backscattered signals. The changes in the statistical characteristics of signals were examined and cornelated with the compression parameters. We develop an analytical formulation for the probability density function (PDF) of logcompressed amplitude signals. To obtain the theoretical F'DF, a Rayleigh distributed signal is subjected to a scaled log-compression of the form nlln(x)+n2. Such transformation is common in medical ulnasound image formation as it allows independent control over the dynamic range and gain of the displayed image. The resulting Fisher-Tippett F' DF and its statistical parameters are derived and compared with the empirically measured statistics of u limages of scattering phantoms. The comparisons reveal a great degree of similarity between theoretical PDF and the histogram of the image, even though the goodness-of-fit tests indicate statistical mismatch from theoretical model due to factors such as non-ideal log compression transfer, noise, envelope smoothing, etc..
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