Ultrasonic backscattering in tissue: characterization through Nakagami-generalized inverse Gaussian distribution

Authors:
Rajeev Agrawal; Karmeshu
Affiliations:
School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi 110 067, India and Department of Electronics and Communication Engineering, Kumaon Engineering College, Dwarahat (Al ...;School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi 110 067, India
Venue:
Computers in Biology and Medicine
Year:
2007

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Abstract

Ultrasonic tissue characterization through composite probability distributions such as Nakagami-lognormal, Nakagami-gamma, Nakagami-inverse Gaussian has been found to be useful. Such a probabilistic description also depicts heavy tails which arise from multiple scattering in tissue besides local and global variations in scattering cross-sections. A new composite probability distribution, viz. Nakagami-generalized inverse Gaussian distribution (NGIGD) with four parameters is proposed which under different limiting conditions results in approximating the known distributions. A salient aspect of the new distribution is that the probability density function (pdf) of NGIGD variate is available in closed form and is analytically tractable.