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Abstract #1584

Bayesian Estimation of Signal Amplitude from Magnitude Data

Ken Sakaie 1

1 Imaging Institute, The Cleveland Clinic, Cleveland, OH, United States

Magnitude reconstruction leads to biased signal at low signal-to-noise ratio (SNR). The Rician distribution describes the signal magnitude given an underlying value from signal amplitude. However, one typically wants the opposite: the underlying amplitude given the measured magnitude. We show how to derive this latter, inverse Rician, distribution and demonstrate some of its properties.

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