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Statistical distributions of potential interest in ultrasound speckle analysis

Saralees Nadarajah

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NOTE

Compound statistical modelling of the uncompressed envelope of the backscattered signal has received much interest recently. In this note, a comprehensive collection of models is derived for the uncompressed envelope of the backscattered signal by compounding the Nakagami distribution with 13 flexible families. The corresponding estimation procedures are derived by the method of moments and the method of maximum likelihood. The sensitivity of the models to their various parameters is examined. It is expected that this work could serve as a useful reference and lead to improved modelling of the uncompressed envelope of the backscattered signal.


PACS

87.63.D- Ultrasonography

02.50.Cw Probability theory

02.70.Rr General statistical methods

Subjects

Computational physics

Medical physics

Dates

Issue 10 (21 May 2007)

Received 21 February 2007, in final form 26 March 2007

Published 24 April 2007



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